R. G. Parr and W. Yang, Density-Functional Theory of Atoms and Molecules, 1989.

R. M. Dreizler and E. K. Gross, Density Functional Theory, 1990.

W. Kohn, Rev. Mod. Phys, vol.71, p.1253, 1999.

E. Runge and E. K. Gross, Phys. Rev. Lett, vol.52, p.997, 1984.

E. K. Gross and W. Kohn, Adv. Quant. Chem, vol.21, p.255, 1990.

M. A. Marques and E. K. Gross, Ann. Rev. Phys. Chem, vol.55, p.427, 2004.

, Fundamentals of Time Dependent Density Functional Theory, 2012.

P. Reinhard and E. Suraud, Introduction to Cluster Dynamics, 2003.

. Th, K. H. Fennel, J. Meiwes-broer, P. Tiggesbäumker, P. M. Reinhard et al., Rev. Mod. Phys, vol.82, p.1793, 2010.

J. P. Perdew and A. Zunger, Phys. Rev. B, vol.23, p.5048, 1981.

S. Kümmel and L. Kronik, Rev. Mod. Phys, vol.80, p.3, 2008.

T. Körzdörfer, J. Chem. Phys, vol.129, p.14110, 2008.

C. Legrand, J. Phys. B, vol.35, p.1115, 2002.

J. B. Krieger, Y. Li, and G. J. Iafrate, Phys. Rev. A, vol.45, p.101, 1992.

C. A. Ullrich, U. J. Gossmann, and E. K. Gross, Phys. Rev. Lett, vol.74, p.872, 1995.

J. Messud, P. M. Dinh, P. G. Reinhard, and E. Suraud, Phys. Rev. Lett, vol.101, p.96404, 2008.

D. Hofmann, T. Körzdrfer, and S. Kümmel, Phys. Rev. Lett, vol.108, p.146401, 2012.

A. Pohl, P. G. Reinhard, and E. Suraud, Phys. Rev. Lett, vol.84, p.5090, 2000.

A. Pohl, P. G. Reinhard, and E. Suraud, J. Phys. B, vol.34, p.4969, 2001.

W. Kohn and L. J. Sham, Phys. Rev, vol.140, p.1133, 1965.

M. R. Pederson, R. A. Heaton, and C. C. Lin, J. Chem. Phys, vol.80, p.1972, 1984.

P. Gosh, Introduction to photoelectron spectroscopy, 1983.

, Eur. Phys. J. D, p.67, 2013.

K. M. Mchugh, J. G. Eaton, G. H. Lee, H. W. Sarkas, L. H. Kidder et al., J. Chem. Phys, vol.91, p.3792, 1989.

M. Hoffmann, G. Wrigge, B. V. Issendorff, J. Müller, G. Ganteför et al., Eur. Phys. J. D, vol.16, p.9, 2001.

A. Pohl, P. Reinhard, and E. Suraud, J. Phys. B, vol.37, p.3301, 2004.

M. Bär, P. M. Dinh, L. V. Moskaleva, P. Reinhard, N. Rösch et al., Phys. Stat. Sol. B, vol.247, p.989, 2010.

U. De-giovannini, D. Varsano, M. A. Marques, H. Appel, E. K. Gross et al., Phys. Rev. A, vol.85, p.62515, 2012.

P. M. Dinh, P. Romaniello, P. Reinhard, and E. Suraud, Phys. Rev. A

F. Calvayrac, P. G. Reinhard, E. Suraud, and C. A. Ullrich, Phys. Rep, vol.337, p.493, 2000.

S. Kümmel, M. Brack, and P. Reinhard, Eur. Phys. J. D, vol.9, p.149, 1999.

A. Herrmann, E. Schumacher, and L. Wöste, J. Chem. Phys, vol.68, p.2327, 1978.

F. Bruneval, Phys. Rev. Lett, vol.103, p.176403, 2009.

L. Hedin, Phys. Rev, vol.139, p.796, 1965.

S. V. Faleev, M. Van-schilfgaarde, and T. Kotani, Phys. Rev. Lett, vol.93, p.126406, 2004.

M. Van-schilfgaarde, T. Kotani, and S. Faleev, Phys. Rev. Lett, vol.96, p.226402, 2006.

G. Wrigge, M. Hoffmann, and B. V. Issendorff, Phys. Rev. A, vol.65, p.63201, 2002.

A. Rytkönen, H. Häkkinen, and M. Manninen, Phys. Rev. Lett, vol.80, p.3940, 1998.

C. Almbladh and U. Barth, Phys. Rev. B, vol.31, p.3231, 1985.

T. Körzdörfer, S. Kümmel, N. Marom, and L. Kronik, Phys. Rev. B, vol.79, p.201205, 2009.

W. A. De-heer, Rev. Mod. Phys, vol.65, p.611, 1993.

M. Brack, Rev. Mod. Phys, vol.65, p.677, 1993.

P. Klüpfel,

K. Andersson, J. Phys. Chem, vol.94, p.5483, 1990.

M. S. Hybertsen and S. G. Louie, Phys. Rev. B, vol.34, p.5390, 1986.

F. Aquilante, T. Bondo-pedersen, and R. Lindh, J. Chem. Phys, vol.126, p.194106, 2007.

J. A. Berger, L. Reining, and F. Sottile, Phys. Rev. B, vol.82, p.41103, 2010.

J. A. Berger, L. Reining, and F. Sottile, Phys. Rev. B, vol.85, p.85126, 2012.

P. Umari, G. Stenuit, and S. Baroni, Phys. Rev. B, vol.79, p.201104, 2009.

P. Umari, G. Stenuit, and S. Baroni, Phys. Rev. B, vol.81, p.115104, 2010.

R. Parr and W. Yang, Density-Functional Theory of Atoms and Molecules, 1989.

R. M. Dreizler and E. K. Gross, Density Functional Theory: An Approach to the Quantum Many-Body Problem, 1990.

W. Kohn, Rev. Mod. Phys, vol.71, p.1253, 1999.

E. Runge and E. K. Gross, Phys. Rev. Lett, vol.52, p.997, 1984.

M. Marques and E. Gross, Ann. Rev. Phys. Chem, vol.55, p.427, 2004.

M. A. Marques, N. T. Maitra, F. M. Nogueira, E. Gross, and A. Rubio, Fundamentals of Time-Dependent Density Functional Theory, 2012.

F. Calvayrac, P. Reinhard, and E. Suraud, Phys. Rev. B, vol.52, p.17056, 1995.

K. Yabana and G. F. Bertsch, Phys. Rev. B, vol.54, p.4484, 1996.

F. Calvayrac, P. Reinhard, E. Suraud, and C. A. Ullrich, Phys. Rep, vol.337, p.493, 2000.

M. Marques, A. Castro, G. Bertsch, and A. Rubio, Comp. Phys. Comm, vol.151, p.60, 2003.

P. Wopperer, P. M. Dinh, P. Reinhard, and E. Suraud, Phys. Rep, vol.562, p.1, 2015.

J. L. Krause, K. J. Schafer, and K. C. Kulander, Phys. Rev. A, vol.45, p.4998, 1992.

D. Dundas, J. Chem. Phys, vol.136, p.194303, 2012.

K. Varga and J. A. Driscoll, Computational Nanoscience, 2011.

P. Reinhard and E. Suraud, Introduction to Cluster Dynamics, 2003.

D. G. Leopold and W. C. Lineberger, J. Chem. Phys, vol.85, p.51, 1986.

D. G. Leopold, J. Ho, and W. C. Lineberger, J. Chem. Phys, vol.86, p.1715, 1987.

G. Ganteför, K. H. Meiwes-broer, and H. O. Lutz, Phys. Rev. A, vol.37, p.2716, 1988.

K. M. Mchugh, J. G. Eaton, G. H. Lee, H. W. Sarkas, L. H. Kidder et al., J. Chem. Phys, p.91, 1989.

D. Turner, Molecular Photoelectron Spectroscopy, 1970.

P. Ghosh, Introduction to Photoelectron Spectroscopy, 1983.

J. C. Pinaré, B. Baguenard, C. Bordas, and M. Broyer, Eur. Phys. J. D, vol.9, p.21, 1999.

C. Bartels, C. Hock, J. Huwer, R. Kuhnen, J. Schwbel et al., Science, vol.323, p.1323, 2009.

M. Kjellberg, O. Johansson, F. Jonsson, A. V. Bulgakov, C. Bordas et al., Phys. Rev. A, vol.81, p.23202, 2010.

T. Fennel, K. Meiwes-broer, J. Tiggesbaumker, P. Reinhard, P. M. Dinh et al., Rev. Mod. Phys, vol.82, p.1793, 2010.

J. O. Johansson, G. G. Henderson, F. Remacle, and E. E. Campbell, Phys. Rev. Lett, vol.108, p.173401, 2012.

Y. Huismans, E. Cormier, C. Cauchy, P. Hervieux, G. Gademann et al., Phys. Rev. A, vol.88, p.13201, 2013.

A. Pohl, P. Reinhard, and E. Suraud, Phys. Rev. Lett, vol.84, p.5090, 2000.

U. De-giovannini, D. Varsano, M. A. Marques, H. Appel, E. K. Gross et al., Phys. Rev. A, vol.85, p.62515, 2012.

M. Vincendon, P. M. Dinh, P. Romaniello, P. Reinhard, and E. Suraud, Eur. J. Phys. D, vol.67, p.97, 2013.

P. M. Dinh, P. Romaniello, P. Reinhard, and E. Suraud, Phys. Rev. A, vol.87, p.32514, 2013.

G. F. Bertsch and S. D. Gupta, Phys. Rep, vol.160, p.190, 1988.

A. Bonasera, F. Gulminelli, and J. Molitoris, Phys. Rep, vol.243, p.1, 1994.

Y. Abe, S. Ayik, P. Reinhard, and E. Suraud, Phys. Rep, vol.275, p.49, 1996.

A. Domps, P. Reinhard, and E. Suraud, Phys. Rev. Lett, vol.81, p.5524, 1998.

T. Fennel, G. F. Bertsch, and K. Meiwes-broer, Eur. Phys. J. D, vol.29, p.367, 2004.

U. Saalmann, C. Siedschlag, and J. M. Rost, J. Phys. B, vol.39, p.39, 2006.

T. Ditmire, T. Donnelly, A. M. Rubenchik, R. W. Falcone, and M. D. Perry, Phys. Rev. A, vol.53, p.3379, 1996.

P. Reinhard and E. Suraud, Ann. Phys, vol.216, p.98, 1992.

D. Lacroix and S. Ayik, Eur. Phys. J. A, vol.50, p.95, 2014.

R. Balescu, Equilibrium and non Equilibrium Statistical Mechanics, 1975.

E. Suraud and P. Reinhard, New J. Phys, vol.16, p.63066, 2014.

N. Slama, P. Reinhard, and E. Suraud, Ann. Phys. (NY), p.182, 2015.

L. Lacombe, P. Reinhard, E. Suraud, and P. M. Dinh, Ann. Phys. (NY), vol.373, p.216, 2016.

L. Lacombe, P. M. Dinh, P. Reinhard, and E. Suraud, J. Phys. B, vol.49, p.245101, 2016.

P. Reinhard and E. Suraud, Ann. Phys. (NY), vol.354, pp.183-202, 2015.

M. Vincendon, E. Suraud, and P. Reinhard, Eur. J. Phys. D, vol.71, 2017.

W. Kohn and L. J. Sham, Phys. Rev, vol.140, p.1133, 1965.

E. Runge and E. K. Gross, Phys. Rev. Lett, vol.52, p.997, 1984.

J. P. Perdew and Y. Wang, Phys. Rev. B, vol.45, p.13244, 1992.

J. P. Perdew and A. Zunger, Phys. Rev. B, vol.23, p.5048, 1981.

C. Legrand, E. Suraud, and P. Reinhard, J. Phys. B, vol.35, p.1115, 2002.

S. Kümmel, M. Brack, and P. Reinhard, Phys. Rev. B, vol.58, p.1774, 1998.

M. D. Feit, J. A. Fleck, and A. Steiger, J. Comp. Phys, vol.47, p.412, 1982.

P. Reinhard, P. D. Stevenson, D. Almehed, J. A. Maruhn, and M. R. Strayer, Phys. Rev. E, vol.73, p.36709, 2006.

L. Tao and A. Scrinzi, New J. Phys, vol.14, p.13021, 2012.

P. Löwdin and H. Shull, Phys. Rev, vol.101, p.1730, 1956.

N. Helbig, I. V. Tokatly, and A. Rubio, Phys. Rev. A, vol.81, p.22504, 2010.

H. Appel and E. K. Gross, Eur. Phys. Lett, vol.92, p.23001, 2010.

M. Filatov, Top. Curr. Chem, vol.368, p.97, 2016.

A. Pohl, P. Reinhard, and E. Suraud, J. Phys. B, vol.34, p.4969, 2001.

P. H. Schönemann, Psychometrika, vol.31, p.1, 1966.

M. Van-faassen, P. L. De-boeij, R. Van-leeuwen, J. A. Berger, and J. G. Snijders, Phys. Rev. Lett, vol.88, p.186401, 2002.

M. Van-faassen, P. L. De-boeij, R. Van-leeuwen, J. A. Berger, and J. G. Snijders, J. Chem. Phys, vol.118, p.1044, 2003.

J. A. Berger, P. Romaniello, R. Van-leeuwen, and P. L. De-boeij, Phys. Rev. B, vol.74, p.245117, 2006.

H. O. Wijewardane and C. A. Ullrich, Phys. Rev. Lett, vol.95, p.86401, 2005.

C. A. Ullrich and I. V. Tokatly, Phys. Rev. B, vol.73, p.235102, 2006.

C. A. Ullrich, J. Chem. Phys, vol.125, p.234108, 2006.

C. A. Ullrich and K. Burke, J. Chem. Phys, vol.121, p.28, 2004.

G. Vignale, C. A. Ullrich, and S. Conti, Phys. Rev. Lett, vol.79, p.4878, 1997.

G. F. Giuliani and G. Vignale, Quantum Theory of the Electron Liquid, 2005.

S. Conti, R. Nifosì, and M. P. Tosi, J. Phys.: Condens. Matter, vol.9, p.475, 1997.

Z. Qian and G. Vignale, Phys. Rev. B, vol.65, p.235121, 2002.

J. A. Berger, P. L. De-boeij, and R. Van-leeuwen, Phys. Rev. B, vol.71, p.155104, 2005.

J. A. Berger, P. L. De-boeij, and R. Van-leeuwen, Phys. Rev. B, vol.75, p.35116, 2007.

, for the code and a detailed description thereof

J. P. Perdew and Y. Wang, Phys. Rev. B, vol.45, p.13244, 1992.

S. Goedecker, M. Teter, and J. Hutter, Phys. Rev. B, vol.54, p.1703, 1996.

V. Blum, G. Lauritsch, J. A. Maruhn, and P. Reinhard, J. Comput. Phys, vol.100, p.364, 1992.

F. Calvayrac, P. Reinhard, E. Suraud, and C. A. Ullrich, Phys. Rep, vol.337, p.493, 2000.

E. F. Penka, E. Couture-bienvenue, and A. D. Bandrauk, Phys. Rev. A, vol.89, p.23414, 2014.

T. Zuo, A. D. Bandrauk, and P. B. Corkum, Chem. Phys. Lett, vol.259, p.313, 1996.

P. G. Reinhard and E. Suraud, Introduction to Cluster Dynamics, 2004.

V. O. Nesterenko, W. Kleinig, and P. Reinhard, Eur. Phys. J. D, vol.19, p.57, 2002.

F. Calvayrac, P. Reinhard, and E. Suraud, Phys. Rev. B, vol.52, p.17056, 1995.

K. Yabana and G. F. Bertsch, Phys. Rev. B, vol.54, p.4484, 1996.

F. Calvayrac, P. Reinhard, and E. Suraud, Ann. Phys. (NY), vol.255, p.125, 1997.

, See the NIST Atomic Spectra Database

C. E. Moore, Natl. Stand. Ref. Data Ser., Natl. Bur. Stand, vol.35, 1971.

S. Bashkin and J. D. Stoner, Atomic Energy Levels and Grotrian Diagrams, 1975.

D. Pines and P. Nozières, The Theory of Quantum Liquids, 1966.

A. Domps, P. Reinhard, and E. Suraud, Phys. Rev. Lett, vol.81, p.5524, 1998.

T. Fennel, G. F. Bertsch, and K. Meiwes-broer, Eur. Phys. J. D, vol.29, p.367, 1004.

P. Reinhard and E. Suraud, Ann. Phys. (N. Y.), vol.354, p.183, 2015.

R. and G. Vignale, Phys. Rev. Lett, vol.96, p.16405, 2006.

. .. Astdhf, 3.3 Selection d'un ensemble d'états purs de référence, vol.84

A. .. Open, 85 6.4.2 Représentation de la fonction d'onde s.p, vol.87

O. .. Résultats, 87 6.6.1 Un système voisin des agrégats métalliques, p.90

. Annexe, 93 6.7.2 Propagation: base standard et opérateur densité, p.93

. .. La-base-naturelle,

R. .. Résolution-pratique-de-la-méthode,

, Article: impact de la dissipation

, Article: Dissipation et distribution d'énergie dans la dynamique des clusters de Sodium

S. A. Maier and H. A. Atwater, J. Appl. Phys, vol.98, p.11101, 2005.

, Nat. Photonics, vol.6, p.707, 2012.

, Plasmonics applications, Nat. Nanotechnol, vol.10, p.1, 2015.

C. D. Geddes, Reviews in Plasmonics, 2010.

P. Berini, S. Bozhevolnyi, and D. Kim, Proc. IEEE, vol.104, p.2267, 2016.

N. W. Ashcroft and N. D. Mermin, Solid State Physics, 1976.

U. Kreibig and M. Vollmer, Optical Properties of Metal Clusters, Springer Series in Materials Science, vol.25, 1993.

D. E. Beck, Solid State Commun, vol.49, p.381, 1984.

W. Ekardt, Phys. Rev. Lett, vol.52, p.1925, 1984.

Y. L. Shao, T. Ditmire, J. W. Tisch, E. Springate, J. P. Marangos et al., Phys. Rev. Lett, vol.77, p.3343, 1996.

S. Dobosz, M. Lezius, M. Schmidt, P. Meynadier, M. Perdrix et al., Phys. Rev. A, vol.56, p.2526, 1997.

U. Saalmann, C. Siedschlag, and J. M. Rost, J. Phys. B: At., Mol., Opt. Phys, vol.39, p.39, 2006.

T. Fennel, K. Meiwes-broer, J. Tiggesb?-aumker, P. Reinhard, P. M. Dinh et al., Rev. Mod. Phys, vol.82, p.1793, 2010.

G. Mie, Ann. Phys. (Leipzig), vol.330, p.377, 1908.

M. Brack, Rev. Mod. Phys, vol.65, p.677, 1993.

W. A. De-heer, Rev. Mod. Phys, vol.65, p.611, 1993.

B. Montag and P. Reinhard, Phys. Rev. B, vol.51, p.14686, 1995.

H. Kurasawa, K. Yabana, and T. Suzuki, Phys. Rev. B, vol.56, p.10063, 1997.

, Metal Clusters, 1999.

P. Reinhard and E. Suraud, Introduction to Cluster Dynamics, 2004.

L. Serra and A. Rubio, Phys. Rev. Lett, vol.78, p.1428, 1997.

D. Varsano, R. Di-felice, M. Marques, and A. Rubio, J. Phys. Chem. B, vol.110, p.7129, 2006.

S. A. Blundell and C. Guet, Z. f. Phys. D, vol.28, p.81, 1993.

C. Yannouleas, E. Vigezzi, and R. A. Broglia, Phys. Rev. B, vol.47, p.9849, 1993.

P. Reinhard, O. Genzken, and M. Brack, Ann. Phys. (Leipzig), vol.508, p.576, 1996.

S. and M. Brack, Phys. Rev. A, vol.64, p.22506, 2001.

E. K. Gross, J. F. Dobson, and M. Petersilka, Top. Curr. Chem, vol.181, p.81, 1996.

M. A. Marques, C. A. Ullrich, F. Nogueira, A. Rubio, K. Burke et al., Time Dependent Density Functional Theory, 2006.
URL : https://hal.archives-ouvertes.fr/hal-00438357

P. Chomaz, F. Gulminelli, W. Trautmann, and S. Yennello, Dynamics and Thermodynamics with Nuclear Degrees of Freedom, 2006.
URL : https://hal.archives-ouvertes.fr/in2p3-00502259

R. Biele, R. D'agosta, and A. Rubio, Phys. Rev. Lett, vol.115, p.56801, 2015.

T. Langen, S. Erne, R. Geiger, B. Rauer, T. Schweigler et al., Science, vol.348, p.207, 2015.

K. Hansen, Statistical Physics of Nanoparticles in the Gas Phase, 2013.

T. Sato, K. L. Ishikawa, I. Brezinova, F. Lackner, S. Nagele et al., Phys. Rev. A, vol.94, p.23405, 2016.

J. Ehrmaier, D. Picconi, T. N. Karsili, and W. Domcke, J. Chem. Phys, vol.146, p.124304, 2017.

M. Kjellberg, O. Johansson, F. Jonsson, A. V. Bulgakov, C. Bordas et al., Phys. Rev. A, vol.81, p.23202, 2010.

P. Wopperer, C. Z. Gao, T. Barillot, C. Cauchy, A. Marciniak et al., Phys. Rev. A, vol.91, p.42514, 2015.

A. Pohl, P. Reinhard, and E. Suraud, J. Phys. B: At., Mol., Opt. Phys, vol.37, p.3301, 2004.

E. Suraud and P. Reinhard, New J. Phys, vol.16, p.63066, 2014.

L. Lacombe, P. Reinhard, P. M. Dinh, and E. Suraud, J. Phys. B: At., Mol., Opt. Phys, vol.49, p.245101, 2016.

P. L. Bhatnagar, E. P. Gross, and M. Krock, Phys. Rev, vol.94, p.511, 1954.

D. Pines and P. Nozières, The Theory of Quantum Liquids, 1966.

P. Reinhard and E. Suraud, Ann. Phys. (N.Y.), vol.354, p.183, 2015.

M. Vincendon, E. Suraud, and P. Reinhard, Eur. Phys. J. D, vol.71, p.179, 2017.

R. O. Jones and O. Gunnarsson, Rev. Mod. Phys, vol.61, p.689, 1989.

R. M. Dreizler and E. K. Gross, Density Functional Theory: An Approach to the Quantum Many-Body Problem, 1990.

E. K. Gross and W. Kohn, Adv. Quantum Chem, vol.21, p.255, 1990.

J. P. Perdew and Y. Wang, Phys. Rev. B, vol.45, p.13244, 1992.

C. Legrand, E. Suraud, and P. Reinhard, J. Phys. B: At., Mol., Opt. Phys, vol.35, p.1115, 2002.

P. Kl?-upfel, P. M. Dinh, P. Reinhard, and E. Suraud, Phys. Rev. A, vol.88, p.52501, 2013.

S. , M. Brack, and P. Reinhard, Eur. Phys. J. D, vol.9, p.149, 1999.

S. Goedecker, M. Teter, and J. Hutter, Phys. Rev. B, vol.54, p.1703, 1996.

F. Calvayrac, P. Reinhard, E. Suraud, and C. A. Ullrich, Phys. Rep, vol.337, p.493, 2000.

B. Montag and P. Reinhard, Phys. Lett. A, vol.193, p.380, 1994.

B. Montag and P. Reinhard, Z. Phys. D, vol.33, p.265, 1995.

V. Blum, G. Lauritsch, J. A. Maruhn, and P. Reinhard, J. Comput. Phys, vol.100, p.364, 1992.

M. D. Feit, J. A. Fleck, and A. Steiger, J. Comput. Phys, vol.47, p.412, 1982.

P. Reinhard, P. D. Stevenson, D. Almehed, J. A. Maruhn, and M. R. Strayer, Phys. Rev. E, vol.73, p.36709, 2006.

R. Vincendon and S. , Phys. Plasmas, vol.25, p.31905, 2018.

J. K?-ohn, R. Redmer, K. Meiwes-broer, and T. Fennel, Phys. Rev. A, vol.77, p.33202, 2008.

J. K?-ohn, R. Redmer, and T. Fennel, New J. Phys, vol.14, p.55011, 2012.

R. Cusson, P. Reinhard, J. Maruhn, W. Greiner, and M. Strayer, Z. Phys. A, vol.320, p.475, 1985.

C. A. Ullrich, J. Mol. Struct.: THEOCHEM, vol.501, p.315, 2000.

F. Calvayrac, P. Reinhard, and E. Suraud, Ann. Phys. (N.Y.), vol.255, p.125, 1997.

J. Babst and P. Reinhard, Z. Phys. D, vol.42, p.209, 1997.

H. Hohmann, C. Callegari, S. Furrer, D. Grosenick, E. E. Campbell et al., Phys. Rev. Lett, vol.73, p.1919, 1994.

E. K. Gross and W. Kohn, Adv. Quant. Chem, vol.21, p.255, 1990.

E. K. Gross, J. F. Dobson, and M. Petersilka, Top. Curr. Chem, vol.181, p.81, 1996.

M. A. Marques, N. T. Maitra, F. M. Nogueira, E. K. Gross, and A. Rubio, Fundamentals of Time-Dependent Density Functional Theory, vol.837, 2012.

J. W. Negele, Rev. Mod. Phys, vol.54, p.913, 1982.

K. T. Davies, K. R. Devi, S. E. Koonin, and M. R. Strayer, Compound System Phenomena, Treatise on Heavy-Ion Physics, vol.3, p.3, 1985.

M. Bender, P. H. Heenen, and P. G. Reinhard, Rev. Mod. Phys, vol.75, p.121, 2003.

G. F. Bertsch and R. Broglia, Oscillations in Finite Quantum Systems, 1994.

P. G. Reinhard and E. Suraud, Time-dependent density functional theory, vol.706, p.391, 2006.
URL : https://hal.archives-ouvertes.fr/hal-00317869

T. Fennel, K. H. Meiwes-broer, J. Tiggesbäumker, P. G. Reinhard, P. M. Dinh et al., Rev. Mod. Phys, vol.82, p.1793, 2010.

C. Golabek and C. Simenel, Phys. Rev. Lett, vol.103, issue.4, p.42701, 2009.

V. E. Oberacker, A. S. Umar, J. A. Maruhn, and P. G. Reinhard, Phys. Rev. C, vol.82, p.34603, 2010.

P. G. Reinhard and C. Toepffer, Int. J. Mod. Phys. E, vol.3, p.435, 1994.

G. F. Bertsch, P. F. Bortignon, and R. A. Broglia, Rev. Mod. Phys, vol.55, p.287, 1983.

Y. Abe, S. Ayik, P. G. Reinhard, and E. Suraud, Phys. Rep, vol.275, p.49, 1996.

V. V. Sargsyan, G. G. Adamian, N. V. Antonenko, W. Scheid, and H. Q. Zhang, Phys. Rev. C, vol.85, p.24616, 2012.

D. Lacroix and S. Ayik, Eur. Phys. J. A, vol.50, issue.6, p.95, 2014.

N. D. Fatti, R. Bouffanais, F. Valle, and C. Flytzanis, Phys. Rev. Lett, vol.81, p.922, 1998.

C. Voisin, D. Christofilos, N. D. Fatti, F. Vallée, B. Prövel et al., Phys. Rev. Lett, vol.85, p.2200, 2000.

U. Näher, S. Björnholm, S. Frauendorf, F. Garcias, and C. Guet, Phys. Rep, vol.285, p.245, 1997.

E. E. Campbell, K. Hansen, K. Hoffmann, G. Korn, M. Tchaplyguine et al., Phys. Rev. Lett, vol.84, p.2128, 2000.

M. Schmidt, R. Kusche, T. Hippler, J. Donges, W. Kronmüller et al., Phys. Rev. Lett, vol.86, p.1191, 2001.

F. Fehrer, P. G. Reinhard, and E. Suraud, Appl. Phys. A, vol.82, p.145, 2006.

M. Kjellberg, O. Johansson, F. Jonsson, A. V. Bulgakov, C. Bordas et al., Phys. Rev. A, vol.81, p.23202, 2010.

P. G. Reinhard and E. Suraud, Ann. Phys. (N.Y.), vol.354, 2015.

L. E. , A Modern Course in Statistical Physics, 1998.

C. Cercignani, The Boltzmann equation and its applications, Applied Mathematical Sciences, vol.67, 1988.

E. A. Uehling and G. E. Uhlenbeck, Phys. Rev, vol.43, p.552, 1933.

G. F. Bertsch and S. D. Gupta, Phys. Rep, vol.160, p.190, 1988.

D. Durand, E. Suraud, and B. Tamain, Nuclear Dynamics in the Nucleonic Regime, 2000.

A. Domps, P. G. Reinhard, and E. Suraud, Phys. Rev. Lett, vol.81, p.5524, 1998.

T. Fennel, G. F. Bertsch, and K. H. Meiwes-broer, Eur. Phys. J. D, vol.29, p.367, 2004.

L. P. Kadanoff and G. Baym, Quantum Statistical Mechanics: Green's Function Methods in Equilibrium and Nonequilibrium Problems (Frontiers in physics, 1962.

P. L. Bhatnagar, E. P. Gross, and M. Krock, Phys. Rev, vol.94, issue.511, p.1954

N. W. Ashcroft and N. D. Mermin, Solid State Physics (Saunders College, 1976.

D. Pines and P. Nozières, The Theory of Quantum Liquids, 1966.

A. Dutta, C. Trefzger, and K. Sengupta, Phys. Rev. B, vol.86, p.85140, 2012.

P. Krause, T. Klamroth, and P. Saalfrank, J. Chem. Phys, vol.127, p.34107, 2007.

P. G. Reinhard and E. Suraud, Ann. Phys. (N.Y.), vol.216, p.98, 1992.

E. Suraud and P. G. Reinhard, New J. Phys, vol.16, p.63066, 2014.

L. Lacombe, P. G. Reinhard, P. M. Dinh, and E. Suraud, J. Phys. B, vol.49, p.245101, 2016.

C. Legrand, E. Suraud, and P. G. Reinhard, J. Phys. B, vol.35, p.1115, 2002.

P. Klüpfel, P. M. Dinh, P. G. Reinhard, and E. Suraud, Phys. Rev. A, vol.88, p.52501, 2013.

F. Calvayrac, P. G. Reinhard, E. Suraud, and C. A. Ullrich, Phys. Rep, vol.337, p.493, 2000.

P. G. Reinhard and E. Suraud, Introduction to Cluster Dynamics, 2004.

S. Kümmel, M. Brack, and P. G. Reinhard, Eur. Phys. J. D, vol.9, p.149, 1999.

J. P. Perdew and Y. Wang, Phys. Rev. B, vol.45, p.13244, 1992.

B. Montag and P. G. Reinhard, Phys. Lett. A, vol.193, p.380, 1994.

B. Montag and P. G. Reinhard, Z. Phys. D, vol.33, p.265, 1995.

K. T. Davies and S. E. Koonin, Phys. Rev, vol.23, p.2042, 1981.

M. D. Feit, J. A. Fleck, and A. Steiger, J. Comp. Phys, vol.47, p.412, 1982.

V. Blum, G. Lauritsch, J. A. Maruhn, and P. G. Reinhard, J. Comp. Phys, vol.100, p.364, 1992.

P. G. Reinhard, P. D. Stevenson, D. Almehed, J. A. Maruhn, and M. R. Strayer, Phys. Rev. E, vol.73, p.36709, 2006.

R. M. Dreizler and E. K. Gross, Density Functional Theory: An Approach to the Quantum Many-Body Problem, 1990.

J. Köhn, R. Redmer, K. H. Meiwes-broer, and T. Fennel, Phys. Rev. A, vol.77, p.33202, 2008.

J. Köhn, R. Redmer, and T. Fennel, New J. Phys, vol.14, p.55011, 2012.

R. Cusson, P. G. Reinhard, J. Maruhn, W. Greiner, and M. Strayer, Z. Phys. A, vol.320, p.475, 1985.

F. Chandezon, C. Guet, B. A. Huber, D. Jalabert, M. Maurel et al., Phys. Rev. Lett, vol.74, p.3784, 1995.

P. G. Reinhard, O. Genzken, and M. Brack, Ann. Phys. (Leipzig), vol.5, p.1, 1996.

J. Babst and P. G. Reinhard, Z. Phys. D, vol.42, p.209, 1997.

R. Loudon, The Quantum Theory of Light, 2009.

L. V. Keldysh, Sov. Phys. JETP, vol.20, p.1307, 1965.

P. G. Reinhard, F. Calvayrac, C. Kohl, S. Kümmel, E. Suraud et al., Eur. Phys. J. D, vol.9, p.111, 1999.

B. Montag, P. G. Reinhard, and J. Meyer, Z. Phys. D, vol.32, p.125, 1994.

M. Brack, Rev. Mod. Phys, vol.65, p.677, 1993.

T. P. Martin, Phys. Rep, vol.273, p.199, 1993.

M. Brack and R. K. Bhaduri, Semiclassical Physics, 1997.

T. Fennel, K. Meiwes-broer, J. Tiggesbäumker, P. Reinhard, P. M. Dinh et al., Laser-driven nonlinear cluster dynamics, Rev. Mod. Phys, vol.82, pp.1793-1842, 2010.
URL : https://hal.archives-ouvertes.fr/hal-00380063

P. Reinhard and E. Suraud, A quantum relaxation-time approximation for finite fermion systems, Annals of Physics, vol.354, pp.183-202, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01162659

E. S. J-a-maruhn and P. Reinhard, Simple Models of Many-Fermion Systems, 2010.

E. G. Heinonen, Many-particle theory, 1991.

I. Mayer, Simple Theorems, Proofs, and Derivations in Quantum Chemistry. Mathematical and Computational Chemistry, 2003.

J. Bass, Cours de mathématiques, 1968.

E. Runge and E. K. Gross, Density-functional theory for time-dependent systems, Phys. Rev. Lett, vol.52, pp.997-1000, 1984.

R. Van-leeuwen, Causality and symmetry in time-dependent density-functional theory, Phys. Rev. Lett, vol.80, pp.1280-1283, 1998.

G. Vignale, Real-time resolution of the causality paradox of time-dependent density-functional theory, Phys. Rev. A, vol.77, p.62511, 2008.

I. Ciofini, C. Adamo, V. Barone, G. Berthier, and A. Rassat, Mapping the manyelectron generalised spin-exchange hamiltonian to accurate post-hf calculations, Chemical Physics, vol.309, issue.2, pp.133-141, 2005.

J. P. Perdew and A. Zunger, Self-interaction correction to density-functional approximations for many-electron systems, Phys. Rev. B, vol.23, pp.5048-5079, 1981.

M. R. Pederson, R. A. Heaton, and C. C. Lin, Local-density Hartree-Fock theory of electronic states of molecules with self-interaction correction, Journal of Chemical Physics, vol.80, pp.1972-1975, 1984.

J. Messud, P. M. Dinh, P. Reinhard, and E. Suraud, Time-dependent densityfunctional theory with a self-interaction correction, Phys. Rev. Lett, vol.101, p.96404, 2008.

P. Dinh, . Mai, C. Gao, . Zhang, . Klüpfel et al., A density functional theory study of na(h2o)n: an example of the impact of self-interaction corrections*, Eur. Phys. J. D, vol.68, issue.8, p.239, 2014.
URL : https://hal.archives-ouvertes.fr/hal-01121751

P. M. Dinh, P. Reinhard, E. Suraud, and M. Vincendon, Chapter four -the two-set and average-density self-interaction corrections applied to small electronic systems, Advances In Atomic, Molecular, and Optical Physics, vol.64, pp.87-103, 2015.

S. Goedecker, M. Teter, and J. Hutter, Separable dual-space gaussian pseudopotentials, Phys. Rev. B, vol.54, pp.1703-1710, 1996.

J. P. Perdew and Y. Wang, , vol.45, p.13244, 1992.

O. Gunnarsson and B. I. Lundqvist, Exchange and correlation in atoms, molecules and solids by the spin density functional formalism, Phys. Rev. B, vol.13, p.4274, 1976.

J. L. Krause, K. J. Schafer, and K. C. Kulander, Calculation of photoemission from atoms subject to intense laser fields, Phys. Rev. A, vol.45, pp.4998-5010, 1992.

F. Calvayrac, P. Reinhard, E. Suraud, and C. Ullrich, Nonlinear electron dynamics in metal clusters, Physics Reports, vol.337, issue.6, pp.493-578, 2000.

D. Dundas, Multielectron effects in high harmonic generation in n2 and benzene: Simulation using a non-adiabatic quantum molecular dynamics approach for laser-molecule interactions, The Journal of Chemical Physics, vol.136, issue.19, p.194303, 2012.

K. Varga and J. A. Driscoll, Computational Nanoscience, 2011.

A. Pohl, P. Reinhard, and E. Suraud, , vol.84, p.5090, 2000.

A. Pohl, P. Reinhard, and E. Suraud, J. Phys. B, vol.34, p.4969, 2001.

P. M. Dinh, P. Romaniello, P. Reinhard, and E. Suraud, Calculation of photoelectron spectra: A mean-field-based scheme, Phys. Rev. A, vol.87, p.32514, 2013.
URL : https://hal.archives-ouvertes.fr/hal-00983353

J. Klein-wiele, P. Simon, and H. Rubahn, Size-dependent plasmon lifetimes and electron-phonon coupling time constants for surface bound na clusters, Phys. Rev. Lett, vol.80, pp.45-48, 1998.

R. Schlipper, R. Kusche, B. Issendorff, and H. Haberland, Multiple excitation and lifetime of the sodium cluster plasmon resonance, Phys. Rev. Lett, vol.80, pp.1194-1197, 1998.

E. S. and P. Reinhard, Introduction to Cluster Dynamics, vol.160, 2003.

C. Gao, P. M. Dinh, P. Reinhard, and E. Suraud, Ionic thermal effects on photo-electron emission within time-dependent density-functional theory, The European Physical Journal D, vol.70, p.2015
URL : https://hal.archives-ouvertes.fr/hal-01328046

C. Ellert, M. Schmidt, C. Schmitt, T. Reiners, and H. Haberland, Temperature dependence of the optical response of small, open shell sodium clusters, Phys. Rev. Lett, vol.75, pp.1731-1734, 1995.

M. Kjellberg, O. Johansson, F. Jonsson, A. V. Bulgakov, C. Bordas et al., Momentum-map-imaging photoelectron spectroscopy of fullerenes with femtosecond laser pulses, Phys. Rev. A, vol.81, p.23202, 2010.

P. Wopperer, P. Dinh, P. Reinhard, and E. Suraud, Electrons as probes of dynamics in molecules and clusters: A contribution from time dependent density functional theory, Electrons as probes of dynamics in molecules and clusters: A contribution from Time Dependent Density Functional Theory, vol.562, pp.1-68, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01135990

P. Wopperer, C. Z. Gao, T. Barillot, C. Cauchy, A. Marciniak et al., Progress towards a realistic theoretical description of c 60 photoelectronmomentum imaging experiments using time-dependent density-functional theory, Phys. Rev. A, vol.91, p.42514, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01160818

G. Vignale, Sum rule for the linear density response of a driven electronic system, Physics Letters A, vol.209, issue.3, pp.206-210, 1995.

G. Vignale and W. Kohn, Current-dependent exchange-correlation potential for dynamical linear response theory, Phys. Rev. Lett, vol.77, pp.2037-2040, 1996.

M. Van-faassen, P. L. De-boeij, R. Van-leeuwen, J. A. Berger, and J. G. Snijders, Phys. Rev. Lett, vol.88, p.186401, 2002.

M. Van-faassen, P. L. De-boeij, R. Van-leeuwen, J. A. Berger, and J. G. Snijders, J. Chem. Phys, vol.118, p.1044, 2003.

J. Berger, P. Romaniello, R. Van-leeuwen, and P. De-boeij, Phys. Rev. B, vol.74, p.245117, 2006.

H. O. Wijewardane and C. A. Ullrich, Phys. Rev. Lett, vol.95, p.86401, 2005.

C. Ullrich and I. Tokatly, Phys. Rev. B, vol.73, p.235102, 2006.

C. A. Ullrich, Time-dependent density-functional theory beyond the adiabatic approximation: Insights from a two-electron model system, The Journal of Chemical Physics, vol.125, issue.23, p.234108, 2006.

W. Shun-jin and W. Cassing, Explicit treatment of n-body correlations within a density-matrix formalism, Annals of Physics, vol.159, issue.2, pp.328-350, 1985.

W. Cassing and U. Mosel, Many-body theory of high-energy heavy-ion reactions, Progress in Particle and Nuclear Physics, vol.25, pp.235-323, 1990.

F. Lackner, I. B?ezinová, T. Sato, K. L. Ishikawa, and J. Burgdörfer, Highharmonic spectra from time-dependent two-particle reduced-density-matrix theory, Phys. Rev. A, vol.95, p.33414, 2017.

A. Akbari, M. J. Hashemi, A. Rubio, R. M. Nieminen, and R. Van-leeuwen, Challenges in truncating the hierarchy of time-dependent reduced density matrices equations, Phys. Rev. B, vol.85, p.235121, 2012.

J. Zanghellini, M. Kitzler, T. Brabec, and A. Scrinzi, Testing the multiconfiguration time-dependent hartree-fock method, Journal of Physics B: Atomic, Molecular and Optical Physics, vol.37, issue.4, p.763, 2004.

W. Li, W. Xu, and T. Chu, Time and intensity dependence of total ionization of helium studied with the multi-configuration time-dependent hartree-fock method, Computational and Theoretical Chemistry, vol.1004, pp.18-21, 2013.

M. Nest, T. Klamroth, and P. Saalfrank, The multiconfiguration time-dependent hartree-fock method for quantum chemical calculations, The Journal of Chemical Physics, vol.122, issue.12, p.124102, 2005.

D. Hochstuhl, C. Hinz, and M. Bonitz, Time-dependent multiconfiguration methods for the numerical simulation of photoionization processes of many-electron atoms, The European Physical Journal Special Topics, vol.223, pp.177-336, 2014.

D. Lacroix, Quantum nuclear many-body dynamics and related aspects
URL : https://hal.archives-ouvertes.fr/in2p3-00620335

A. Domps, Dynamique electronique dans les agregats metalliques : methodes semi-classiques, Eric Physique Toulouse, vol.3, 1998.

G. Vignale, C. A. Ullrich, and S. Conti, Time-dependent density functional theory beyond the adiabatic local density approximation, Phys. Rev. Lett, vol.79, pp.4878-4881, 1997.

Z. Qian and G. Vignale, Dynamical exchange-correlation potentials for an electron liquid, Phys. Rev. B, vol.65, p.235121, 2002.

L. Lacombe, P. Reinhard, P. M. Dinh, and E. Suraud, A collisional extension of time-dependent hartree-fock, Journal of Physics B: Atomic, Molecular and Optical Physics, vol.49, issue.24, p.245101, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01429848

P. Reinhard and E. Suraud, Stochastic tdhf and the boltzman-langevin equation, Annals of Physics, vol.216, issue.1, pp.98-121, 1992.

E. Suraud and P. Reinhard, Non-equilibrium quantum dynamics with collisional correlations, New Journal of Physics, vol.16, issue.6, p.63066, 2014.
URL : https://hal.archives-ouvertes.fr/hal-01126628

K. Gütter, K. Wagner, P. Reinhard, and C. Toepffer, Ann. Phys, vol.225, p.339, 1993.

L. Lacombe, E. Suraud, P. Reinhard, and P. Dinh, Submitted article: Average stochastic tdhf, Annals of Physics, 2018.

P. L. Bhatnagar, E. P. Gross, and M. Krook, A model for collision processes in gases. i. small amplitude processes in charged and neutral one-component systems, Phys. Rev, vol.94, pp.511-525, 1954.

H. Köhler, Tdhf with two-body dissipation, Nuclear Physics A, vol.343, pp.315-332, 1980.

H. Köhler, Effect of two-body collisions on heavy ion dynamics, Nuclear Physics A, vol.378, issue.1, pp.181-188, 1982.

C. Wong and K. T. Davies, Approximate treatment of particle collisions in the time-dependent mean-field theory, Phys. Rev. C, vol.28, pp.240-251, 1983.

G. Bertsch, The collision integral in nuclear matter at zero temperature, Zeitschrift für Physik A Atoms and Nuclei, vol.289, pp.103-105, 1978.

J. Köhn, R. Redmer, K. Meiwes-broer, and T. Fennel, Non-resonant absorption enhancement in laser-excited simple metal clusters through electron-electron collisions, Phys. Rev. A, vol.77, p.33202, 2008.

J. Köhn, R. Redmer, and T. Fennel, Collision-enhanced plasmonic electron acceleration in small metal clusters, New Journal of Physics, vol.14, issue.5, p.55011, 2012.

R. Y. Cusson, P. G. Reinhard, M. R. Strayer, J. A. Maruhn, and W. Greiner, Density as a constraint and the separation of internal excitation energy in tdhf, Zeitschrift für Physik A Atoms and Nuclei, vol.320, pp.475-482, 1985.

M. Vincendon, E. Suraud, and P. Reinhard, Dissipation and energy balance in electronic dynamics of na clusters, The European Physical Journal D, vol.71, p.179, 2017.
URL : https://hal.archives-ouvertes.fr/hal-01587036

M. Vincendon, P. Reinhard, and E. Suraud, The impact of dissipation on plasmonic versus non-collective excitation, Physics of Plasmas, vol.25, issue.3, p.31905, 2018.
URL : https://hal.archives-ouvertes.fr/hal-01775216

A. Staszczak, M. Stoitsov, A. Baran, and W. Nazarewicz, Augmented lagrangian method for constrained nuclear density functional theory, The European Physical Journal A, vol.46, issue.1, pp.85-90, 2010.