T. Fennel, K. Meiwes-broer, J. Tiggesbäumker, P. Reinhard, P. M. Dinh et al., Laser-driven nonlinear cluster dynamics, Reviews of Modern Physics, vol.82, issue.2, pp.1793-1842, 2010.
DOI : 10.1103/RevModPhys.82.1793
URL : https://hal.archives-ouvertes.fr/hal-00380063

H. D. Meyer, U. Manthe, and L. S. Cederbaum, The multi-configurational time-dependent Hartree approach, Chemical Physics Letters, vol.165, issue.1, pp.73-78, 1990.
DOI : 10.1016/0009-2614(90)87014-I

P. Hohenberg and W. Kohn, Inhomogeneous Electron Gas, Physical Review, vol.136, issue.3B, pp.864-871, 1964.
DOI : 10.1103/PhysRev.136.B864

E. H. Lieb, Density functionals for coulomb systems, International Journal of Quantum Chemistry, vol.140, issue.3, pp.243-277, 1983.
DOI : 10.1002/qua.560240302

M. Levy, Universal variational functionals of electron densities, first-order density matrices, and natural spin-orbitals and solution of the v-representability problem, Proceedings of the National Academy of Sciences, vol.76, issue.12, pp.6062-6065, 1979.
DOI : 10.1073/pnas.76.12.6062

E. Runge and E. K. Gross, Density-Functional Theory for Time-Dependent Systems, Physical Review Letters, vol.52, issue.12, pp.997-1000, 1984.
DOI : 10.1103/PhysRevLett.52.997

M. A. Marques, N. T. Maitra, F. M. Nogueira, E. K. Gross, and A. Rubio, Fundamentals of time-dependent density functional theory. No. 837 in Lecture notes in physics, p.785830422, 2012.

E. A. Uehling and G. E. Uhlenbeck, Transport Phenomena in Einstein-Bose and Fermi-Dirac Gases. I, Physical Review, vol.43, issue.7, pp.552-561, 1933.
DOI : 10.1103/PhysRev.43.552

U. Saalmann, C. Siedschlag, and J. M. Rost, Mechanisms of cluster ionization in strong laser pulses, Journal of Physics B: Atomic, Molecular and Optical Physics, vol.39, issue.4, p.39, 2006.
DOI : 10.1088/0953-4075/39/4/R01

C. Wong and H. H. Tang, Dynamics of nuclear fluid. V. Extended time-dependent Hartree-Fock approximation illuminates the approach to thermal equilibrium, Physical Review C, vol.20, issue.4, pp.1419-1452, 1979.
DOI : 10.1103/PhysRevC.20.1419

C. Wong and H. H. Tang, Extended Time-Dependent Hartree-Fock Approximation with Particle Collisions, Physical Review Letters, vol.40, issue.16, pp.1070-1073, 1978.
DOI : 10.1103/PhysRevLett.40.1070

H. Orland and R. Schaeffer, Two-body collisions and time dependent Hartree-Fock theory, Zeitschrift für Physik A Atoms and Nuclei, pp.191-204, 1979.
DOI : 10.1007/BF01408115

H. Reinhardt, P. G. Reinhard, and K. Goeke, Non-markovian treatment of collective motion in extended time-dependent mean-field theories, Physics Letters B, vol.151, issue.3-4, pp.177-180, 1985.
DOI : 10.1016/0370-2693(85)90829-9

S. J. Wang 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, K. Niita, and S. J. Wang, Dynamical aspects of intermediate-energy nucleus-nucleus collisions, Zeitschrift für Physik A Atomic Nuclei, pp.439-449, 1988.

W. Cassing and U. Mosel, Many-body theory of high-energy heavy-ion reactions, Progress in Particle and Nuclear Physics, pp.235-323, 1990.
DOI : 10.1016/0146-6410(90)90032-Y

R. F. Snider, Quantum???Mechanical Modified Boltzmann Equation for Degenerate Internal States, The Journal of Chemical Physics, vol.32, issue.4, pp.1051-1060, 1960.
DOI : 10.1063/1.1730847

W. Botermans and R. Malfliet, Two-body collisions and mean-field theory: The Brueckner-Boltzmann equation, Physics Letters B, vol.171, issue.1, pp.22-27, 1986.
DOI : 10.1016/0370-2693(86)90990-1
URL : http://doi.org/10.1016/0370-2693(86)90990-1

A. S. Umar, M. R. Strayer, and P. G. Reinhard, Resolution of the fusion window anomaly in heavy-ion collisions, Physical Review Letters, vol.56, issue.26, pp.2793-2796, 1986.
DOI : 10.1103/PhysRevLett.56.2793

P. Reinhard and E. Suraud, Stochastic TDHF and the Boltzman-Langevin equation, Annals of Physics, vol.216, issue.1, pp.98-121, 1992.
DOI : 10.1016/0003-4916(52)90043-2

P. Reinhard, E. Suraud, and S. Ayik, The Boltzmann-Langevin equation derived from the real-time path formalism, Annals of Physics, vol.213, issue.1, pp.204-229, 1992.
DOI : 10.1016/0003-4916(92)90289-X
URL : https://hal.archives-ouvertes.fr/in2p3-00610247

Y. Abe, S. Ayik, P. Reinhard, and E. Suraud, On stochastic approaches of nuclear dynamics, Physics Reports, vol.275, issue.2-3, pp.49-196, 1996.
DOI : 10.1016/0370-1573(96)00003-8

D. Lacroix, S. Ayik, W. Kohn, and L. J. Sham, Stochastic quantum dynamics beyond mean field Self-Consistent Equations Including Exchange and Correlation Effects, The European Physical Journal A Physical Review, vol.50, issue.140, pp.1133-1138, 1965.

M. Petersilka, U. J. Gossmann, and E. K. Gross, Excitation Energies from Time-Dependent Density-Functional Theory, Physical Review Letters, vol.76, issue.8, pp.1212-1215, 1996.
DOI : 10.1103/PhysRevLett.76.1212
URL : http://arxiv.org/pdf/cond-mat/0001154v1.pdf

P. Wopperer, P. M. Dinh, P. G. Reinhard, and E. Suraud, Electrons as probes of dynamics in molecules and clusters: A contribution from Time Dependent Density Functional Theory, Physics Reports, vol.562, pp.1-68, 2015.
DOI : 10.1016/j.physrep.2014.07.003
URL : https://hal.archives-ouvertes.fr/hal-01135990

D. C. Langreth and J. P. Perdew, Theory of nonuniform electronic systems. I. Analysis of the gradient approximation and a generalization that works, Physical Review B, vol.21, issue.12, pp.5469-5493, 1980.
DOI : 10.1103/PhysRevB.21.5469

J. P. Perdew and W. Yue, Accurate and simple density functional for the electronic exchange energy: Generalized gradient approximation, Physical Review B, vol.33, issue.12, pp.8800-8802, 1986.
DOI : 10.1103/PhysRevB.33.8800

A. Pribram-jones, D. A. Gross, and K. Burke, DFT: A Theory Full of Holes?, Annual Review of Physical Chemistry, vol.66, issue.1, pp.283-304, 2015.
DOI : 10.1146/annurev-physchem-040214-121420

A. J. Cohen, P. Mori-sánchez, and W. Yang, Challenges for Density Functional Theory, Chemical Reviews, vol.112, issue.1, pp.289-320, 2012.
DOI : 10.1021/cr200107z

D. G. Lappas and R. V. Leeuwen, Electron correlation effects in the double ionization of He, Journal of Physics B: Atomic, Molecular and Optical Physics, vol.31, issue.6, p.249, 1998.
DOI : 10.1088/0953-4075/31/6/001

D. Bauer, Two-dimensional, two-electron model atom in a laser pulse: Exact treatment, single-active-electron analysis, time-dependent density-functional theory, classical calculations, and nonsequential ionization, Physical Review A, vol.56, issue.4, pp.3028-3039, 1997.
DOI : 10.1103/PhysRevA.56.3028

E. E. Campbell, K. Hansen, K. Hoffmann, G. Korn, M. Tchaplyguine et al., Photoelectron Spectra, Physical Review Letters, vol.84, issue.10, pp.2128-2131, 2000.
DOI : 10.1103/PhysRevLett.84.2128

K. Pernal, O. Gritsenko, and E. J. Baerends, Time-dependent density-matrix-functional theory, Physical Review A, vol.75, issue.1, p.12506, 2007.
DOI : 10.1103/PhysRevA.75.012506

K. Pernal and K. J. Giesbertz, Reduced Density Matrix Functional Theory (RDMFT) and Linear Response Time-Dependent RDMFT (TD-RDMFT), " in Density-Functional Methods for Excited States, no. 368 in Topics in Current Chemistry, pp.125-183, 2015.

H. Appel and E. K. Gross, Time-dependent natural orbitals and occupation numbers, EPL (Europhysics Letters), vol.92, issue.2, p.23001, 2010.
DOI : 10.1209/0295-5075/92/23001

A. K. Rajam, I. Raczkowska, and N. T. Maitra, Semiclassical Electron Correlation in Density-Matrix Time Propagation, Physical Review Letters, vol.105, issue.11, p.113002, 2010.
DOI : 10.1103/PhysRevLett.105.113002

P. Elliott and N. T. Maitra, Density-matrix propagation driven by semiclassical correlation, International Journal of Quantum Chemistry, vol.64, issue.10, pp.772-783, 2016.
DOI : 10.1002/qua.25087
URL : http://arxiv.org/abs/1602.03723

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, Physical Review B, vol.85, issue.23, p.235121, 2012.
DOI : 10.1103/PhysRevB.85.235121

M. Ruggenthaler and R. V. Leeuwen, Global fixed-point proof of time-dependent density-functional theory, EPL (Europhysics Letters), vol.95, issue.1, p.13001, 2011.
DOI : 10.1209/0295-5075/95/13001

M. Ruggenthaler, K. J. Giesbertz, M. Penz, and R. Van-leeuwen, Density-potential mappings in quantum dynamics, Physical Review A, vol.85, issue.5, p.52504, 2012.
DOI : 10.1103/PhysRevA.85.052504

R. M. Dreizler and E. K. Gross, Density Functional Theory, 1990.
DOI : 10.1007/978-3-642-86105-5

J. Messud, P. M. Dinh, P. Reinhard, and E. Suraud, Time-Dependent Density-Functional Theory with a Self-Interaction Correction, Physical Review Letters, vol.101, issue.9, p.96404, 2008.
DOI : 10.1103/PhysRevLett.101.096404

C. Legrand, E. Suraud, and P. G. Reinhard, Comparison of self-interaction-corrections for metal clusters, Journal of Physics B: Atomic, Molecular and Optical Physics, vol.35, issue.4, p.1115, 2002.
DOI : 10.1088/0953-4075/35/4/333

A. D. Becke, Density???functional thermochemistry. III. The role of exact exchange, The Journal of Chemical Physics, vol.98, issue.7, pp.5648-5652, 1993.
DOI : 10.1063/1.464913

C. Lee, W. Yang, and R. G. Parr, Development of the Colle-Salvetti correlation-energy formula into a functional of the electron density, Physical Review B, vol.37, issue.2, pp.785-789, 1988.
DOI : 10.1103/PhysRevB.37.785

P. Reinhard and E. Suraud, Introduction to Cluster Dynamics, Time-dependent density functional theory. No. 706 in Lecture notes in physics, p.71008305, 2006.
DOI : 10.1002/9783527602520

N. T. Maitra, Memory: History , Initial-State Dependence , and Double- Excitations, " in Fundamentals of Time-Dependent Density Functional Theory, no. 837 in Lecture Notes in Physics, pp.167-184

N. N. Bogoliubov, The dynamical theory in statistical physics, p.2294879, 1965.

M. Born and H. S. Green, A General Kinetic Theory of Liquids. IV. Quantum Mechanics of Fluids, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.191, issue.1025, pp.168-181, 1947.
DOI : 10.1098/rspa.1947.0108

J. G. Kirkwood, The Statistical Mechanical Theory of Transport Processes I. General Theory, The Journal of Chemical Physics, vol.14, issue.3, pp.180-201, 1946.
DOI : 10.1063/1.1724117

J. Yvon, Une m??thode d'??tude des corr??lations dans les fluides quantiques en ??quilibre, Nuclear Physics, vol.4, pp.1-20, 1957.
DOI : 10.1016/0029-5582(87)90002-2

D. Lacroix, Quantum nuclear many-body dynamics and related aspects, 2011.
URL : https://hal.archives-ouvertes.fr/in2p3-00620335

D. Lacroix, P. Chomaz, and S. Ayik, On the simulation of extended TDHF theory, Nuclear Physics A, vol.651, issue.4, pp.369-378, 1999.
DOI : 10.1016/S0375-9474(99)00136-0
URL : https://hal.archives-ouvertes.fr/in2p3-00021845

N. T. Maitra, K. Burke, and C. Woodward, Memory in Time-Dependent Density Functional Theory, Physical Review Letters, vol.89, issue.2, p.23002, 2002.
DOI : 10.1103/PhysRevLett.89.023002

E. Suraud and P. Reinhard, Non-equilibrium quantum dynamics with collisional correlations, New Journal of Physics, vol.16, issue.6, p.63066, 2014.
DOI : 10.1088/1367-2630/16/6/063066
URL : https://hal.archives-ouvertes.fr/hal-01126628

N. Slama, P. G. Reinhard, and E. Suraud, On the inclusion of collisional correlations in quantum dynamics, Annals of Physics, vol.355, pp.182-203, 2015.
DOI : 10.1016/j.aop.2015.02.008
URL : https://hal.archives-ouvertes.fr/hal-01160829

V. Franc, V. Hlavá?, and M. Navara, Sequential Coordinate-Wise Algorithm for the Non-negative Least Squares Problem, pp.407-414, 2005.
DOI : 10.1007/11556121_50

L. Sanche, Low-Energy Electron Interaction with DNA: Bond Dissociation and Formation of Transient Anions, Radicals, and Radical Anions, Radical and Radical Ion Reactivity in Nucleic Acid Chemistry, pp.239-293, 2009.
DOI : 10.1002/9780470526279.ch9

B. Bouda¨?ffabouda¨?ffa, P. Cloutier, D. Hunting, M. A. Huels, and L. Sanche, Resonant Formation of DNA Strand Breaks by Low-Energy (3 to 20 eV) Electrons, Science, vol.287, pp.1658-1660, 2000.

Y. Zheng and L. Sanche, Gold Nanoparticles Enhance DNA Damage Induced by Anti-cancer Drugs and Radiation, Radiation Research, vol.172, issue.1, pp.114-119, 2009.
DOI : 10.1667/RR1689.1

J. D. Gorfinkiel, L. A. Morgan, and J. Tennyson, Electron impact dissociative excitation of water within the adiabatic nuclei approximation, Journal of Physics B: Atomic, Molecular and Optical Physics, vol.35, issue.3, p.543, 2002.
DOI : 10.1088/0953-4075/35/3/309

J. Tennyson, Electron???molecule collision calculations using the R-matrix method, Physics Reports, vol.491, issue.2-3, pp.29-76, 2010.
DOI : 10.1016/j.physrep.2010.02.001
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.387.8272

M. Smyth and J. Kohanoff, Excess Electron Localization in Solvated DNA Bases, Physical Review Letters, vol.106, issue.23, p.238108, 2011.
DOI : 10.1103/PhysRevLett.106.238108

S. Bhowmick, R. B. , M. K. Mishra, and M. Sarma, Investigation of dissociative electron attachment to 2???-deoxycytidine-3???-monophosphate using DFT method and time dependent wave packet approach, The Journal of Chemical Physics, vol.137, issue.6, p.64310, 2012.
DOI : 10.1063/1.4740461

L. Lacombe, P. M. Dinh, P. Reinhard, E. Suraud, and L. Sanche, Rare reaction channels in real-time time-dependent density functional theory: the test case of electron attachment, The European Physical Journal D, vol.154, issue.8, pp.1-8, 2015.
DOI : 10.1140/epjd/e2015-60162-0
URL : https://hal.archives-ouvertes.fr/hal-01192762

F. Calvayrac, P. G. Reinhard, E. Suraud, and C. A. Ullrich, Nonlinear electron dynamics in metal clusters, Physics Reports, vol.337, issue.6, pp.493-578, 2000.
DOI : 10.1016/S0370-1573(00)00043-0

S. Goedecker, M. Teter, and J. Hutter, Separable dual-space Gaussian pseudopotentials, Physical Review B, vol.54, issue.3, p.1703, 1996.
DOI : 10.1103/PhysRevB.54.1703

V. Blum, G. Lauritsch, J. A. Maruhn, and P. G. Reinhard, Comparison of coordinate-space techniques in nuclear mean-field calculations, Journal of Computational Physics, vol.100, issue.2, pp.364-376, 1992.
DOI : 10.1016/0021-9991(92)90242-Q

M. D. Feit, J. A. Fleck, and A. Steiger, Solution of the Schr??dinger equation by a spectral method, Journal of Computational Physics, vol.47, issue.3, pp.412-433, 1982.
DOI : 10.1016/0021-9991(82)90091-2

J. W. Eastwood and D. R. Brownrigg, Remarks on the solution of poisson's equation for isolated systems, The TDHF code Sky3d, pp.24-38, 1979.
DOI : 10.1016/0021-9991(79)90139-6

E. K. Gross, J. F. Dobson, and M. Petersilka, Density functional theory of time-dependent phenomena, Topics in Current Chemistry, pp.81-172, 1007.
DOI : 10.1007/BFb0016643

J. P. Perdew and Y. Wang, Accurate and simple analytic representation of the electron-gas correlation energy, Physical Review B, vol.45, issue.23, pp.13244-13249, 1992.
DOI : 10.1103/PhysRevB.45.13244

P. Reinhard, P. D. Stevenson, D. Almehed, J. A. Maruhn, and M. R. Strayer, Role of boundary conditions in dynamic studies of nuclear giant resonances and collisions, Physical Review E, vol.73, issue.3, 2006.
DOI : 10.1103/PhysRevE.73.036709

Y. Itikawa and N. Mason, Cross Sections for Electron Collisions with Water Molecules, Journal of Physical and Chemical Reference Data, vol.34, issue.1, 2005.
DOI : 10.1063/1.1799251

J. P. Perdew and A. Zunger, Self-interaction correction to density-functional approximations for many-electron systems, Physical Review B, vol.23, issue.10, pp.5048-5079, 1981.
DOI : 10.1103/PhysRevB.23.5048

A. Pohl, P. Reinhard, and E. Suraud, Towards Single-Particle Spectroscopy of Small Metal Clusters, Physical Review Letters, vol.84, issue.22, p.5090, 2000.
DOI : 10.1103/PhysRevLett.84.5090

A. Pohl, P. Reinhard, and E. Suraud, Angular distribution of electrons emitted from Na clusters, Physical Review A, vol.70, issue.2, p.23202, 2004.
DOI : 10.1103/PhysRevA.70.023202

U. De-giovannini, D. Varsano, M. A. Marques, H. Appel, E. K. Gross et al., angle- and energy-resolved photoelectron spectroscopy with time-dependent density-functional theory, Physical Review A, vol.85, issue.6, p.62515, 2012.
DOI : 10.1103/PhysRevA.85.062515

E. Fermi and E. Amaldi, Le orbite oos degli elementi, Accad. Ital. Rome, vol.6, p.117, 1934.

P. Klüpfel, P. M. Dinh, P. Reinhard, and E. Suraud, Koopmans??? condition in self-interaction-corrected density-functional theory, Physical Review A, vol.88, issue.5, 2013.
DOI : 10.1103/PhysRevA.88.052501

C. E. Melton, O, The Journal of Chemical Physics, vol.57, issue.10, pp.4218-4225, 1972.
DOI : 10.1063/1.1678051

P. Rawat, V. S. Prabhudesai, G. Aravind, M. A. Rahman, and E. Krishnakumar, O, Journal of Physics B: Atomic, Molecular and Optical Physics, vol.40, issue.24, p.4625, 2007.
DOI : 10.1088/0953-4075/40/24/007
URL : https://hal.archives-ouvertes.fr/hal-01506493

J. Fedor, P. Cicman, B. Coupier, S. Feil, M. Winkler et al., O, Journal of Physics B: Atomic, Molecular and Optical Physics, vol.39, issue.18, p.3935, 2006.
DOI : 10.1088/0953-4075/39/18/022
URL : https://hal.archives-ouvertes.fr/in2p3-00271564

R. N. Compton and L. G. Christophorou, O, Physical Review, vol.154, issue.1, pp.110-116, 1967.
DOI : 10.1103/PhysRev.154.110

N. G. Adams, V. Poterya, and L. M. Babcock, Electron molecular ion recombination: Product excitation and fragmentation, Mass Spectrometry Reviews, vol.205, issue.150, pp.798-828, 2006.
DOI : 10.1002/mas.20084

L. Vejby-christensen, L. H. Andersen, O. Heber, D. Kella, H. B. Pedersen et al., , and \documentclass{aastex} \usepackage{amsbsy} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{bm} \usepackage{mathrsfs} \usepackage{pifont} \usepackage{stmaryrd} \usepackage{textcomp} \usepackage{portland,xspace} \usepackage{amsmath,amsxtra} \usepackage[OT2,OT1]{fontenc} \newcommand\cyr{ \renewcommand\rmdefault{wncyr} \renewcommand\sfdefault{wncyss} \renewcommand\encodingdefault{OT2} \normalfont \selectfont} \DeclareTextFontCommand{\textcyr}{\cyr} \pagestyle{empty} \DeclareMathSizes{10}{9}{7}{6} \begin{document} \landscape $\mathrm{CH}\,^{+}_{3}$ \end{document}, The Astrophysical Journal, vol.483, issue.1, p.531, 1997.
DOI : 10.1086/304242

A. Neau, A. A. Khalili, S. Rosén, A. L. Padellec, A. M. Derkatch et al., Dissociative recombination of D3O+ and H3O+: Absolute cross sections and branching ratios, The Journal of Chemical Physics, vol.113, issue.5, pp.1762-1770, 2000.
DOI : 10.1063/1.481979

H. J. Lipkin, N. Meshkov, and A. J. Glick, Validity of many-body approximation methods for a solvable model, Nuclear Physics, vol.62, issue.2, pp.188-198, 1965.
DOI : 10.1016/0029-5582(65)90862-X

N. Meshkov, A. J. Glick, and H. J. Lipkin, Validity of many-body approximation methods for a solvable model, Nuclear Physics, vol.62, issue.2, pp.199-210, 1965.
DOI : 10.1016/0029-5582(65)90863-1

A. J. Glick, H. J. Lipkin, and N. Meshkov, Validity of many-body approximation methods for a solvable model, Nuclear Physics, vol.62, issue.2, pp.211-224, 1965.
DOI : 10.1016/0029-5582(65)90864-3

G. Holzwarth, Four approaches to the function of inertia in a solvable model, Nuclear Physics A, vol.207, issue.3, pp.545-564, 1973.
DOI : 10.1016/0375-9474(73)90861-0

P. Reinhard, A. S. Umar, K. T. Davies, M. R. Strayer, and S. Lee, Dissipation and forces in time-dependent Hartree-Fock calculations, Physical Review C, vol.37, issue.3, pp.1026-1035, 1988.
DOI : 10.1103/PhysRevC.37.1026

D. Agassi, H. J. Lipkin, and N. Meshkov, Validity of many-body approximation methods for a solvable model, Nuclear Physics, vol.86, issue.2, pp.321-331, 1966.
DOI : 10.1016/0029-5582(66)90540-2

P. Ring and P. Shuck, The Nuclear Many-Body Problem [103] J. Crank and P. Nicolson A practical method for numerical evaluation of solutions of partial differential equations of the heat-conduction type, Mathematical Proceedings of the Cambridge Philosophical Society, vol.43, pp.50-67, 1947.
DOI : 10.1007/978-3-642-61852-9

C. Greiner, K. Wagner, and P. Reinhard, Memory effects in relativistic heavy ion collisions, Physical Review C, vol.49, issue.3, pp.1693-1701, 1994.
DOI : 10.1103/PhysRevC.49.1693

L. P. Kadanoff and G. Baym, Quantum statistical mechanics: Green's function methods in equilibrium and nonequilibrium problems, 1962.