Sobolev Spaces, 1975. ,
Schr???dinger operators with magnetic fields. I. general interactions, Duke Mathematical Journal, vol.45, issue.4, pp.847-882, 1978. ,
DOI : 10.1215/S0012-7094-78-04540-4
Sharp Spectral Asymptotics for Operators with Irregular Coefficients. I. Pushing the Limits, Communications in Partial Differential Equations, vol.92, issue.1, pp.83-102, 2003. ,
DOI : 10.1081/PDE-120019375
A Lieb-Thirring Bound for a Magnetic Pauli Hamiltonian, Communications in Mathematical Physics, vol.187, issue.3, pp.593-619, 1999. ,
DOI : 10.1007/s002200050149
A Lieb-Thirring Bound for a Magnetic Pauli Hamiltonian, Communications in Mathematical Physics, vol.187, issue.3, pp.567-582, 1997. ,
DOI : 10.1007/s002200050149
Classical bounds and limits for energy distributions of Hamilton operators in electromagnetic fields, Annals of Physics, vol.111, issue.1, pp.1-18, 1978. ,
DOI : 10.1016/0003-4916(78)90221-X
Spectral asymptotics in the semiclassical limit : Spectral theory for perturbed periodic problems ,
Magnetic Lieb-Thirring inequalities, Communications in Mathematical Physics, vol.25, issue.3, pp.629-668, 1995. ,
DOI : 10.1007/BF02099152
Semiclassical eigenvalue estimates for the Pauli operator with strong nonhomogeneous magnetic fields, I: Nonasymptotic Lieb-Thirring?type estimate, Duke Mathematical Journal, vol.96, issue.1, pp.127-173, 1999. ,
DOI : 10.1215/S0012-7094-99-09604-7
Solovej : Semiclassical eigenvalue estimates for Pauli operator with strong non-homogeneous magnetic fields. II. Leading order asymptotic estimates, Commun. Math. Phys, vol.188, pp.599-656, 1997. ,
Solovej : Magnetic Lieb-Thirring inequalities with optimal dependence on the field strength, Journal of Statistical Physics, vol.116, pp.1-4, 2004. ,
Uniform Lieb-Thirring Inequality for the Three-Dimensional Pauli Operator with a Strong Non-Homogeneous Magnetic Field, Annales Henri Poincar??, vol.5, issue.4, pp.671-741, 2004. ,
DOI : 10.1007/s00023-004-0180-x
Harmonic analysis in phase space, Princeton univertsity press, 1989. ,
Limite semi-classique du courant quantique en pr??sence d'un champ magn??tique tr??s fort, Annales de l???institut Fourier, vol.52, issue.6, 1901. ,
DOI : 10.5802/aif.1938
On the Semiclassical Asymptotics of the Current and Magnetic Moment of a Non-Interacting Electron Gas at Zero Temperature in a Strong Constant Magnetic Field, Annales Henri Poincar??, vol.2, issue.6, pp.1189-1212, 2001. ,
DOI : 10.1007/s00023-001-8607-0
SEMICLASSICS OF THE QUANTUM CURRENT IN A STRONG CONSTANT MAGNETIC FIELD, Communications in Partial Differential Equations, vol.13, issue.7-8, pp.1427-1496, 2001. ,
DOI : 10.1007/BF02099414
Semiclassics of the quantum current, Communications in Partial Differential Equations, vol.53, issue.3-4, pp.601-628, 1998. ,
DOI : 10.1080/03605308508820382
Jensen's Inequality for Conditional Expectations Journal of inequalities in pure and applied mathematics, 2005. ,
Sur le spectre de l'équation de Dirac (dans R 2 ou R 3 ) avec redchamp magnétique, Ann. scient. Éc. Norm. Sup, vol.4, issue.22, pp.515-533, 1989. ,
Microlocal analysis and precise spectral asymptotics, 1998. ,
DOI : 10.1007/978-3-662-12496-3
Sharp spectral asymptotics for operators with irregular coefficients, Internat. Math. Res. Notices, vol.22, pp.1155-1166, 2000. ,
Sharp Spectral Asymptotics for Operators with Irregular Coefficients. II. Domains with Boundaries and Degenerations, Communications in Partial Differential Equations, vol.92, issue.1, pp.1-2, 2003. ,
DOI : 10.1081/PDE-120019376
The design of radar signals having both high range resolution and high velocity resolution, Bell System Tech, J, vol.39, pp.809-820, 1960. ,
Variational Principle for Many-Fermion Systems, Physical Review Letters, vol.46, issue.7, pp.457-459, 1981. ,
DOI : 10.1103/PhysRevLett.46.457
Inequalities for moments of the eignvalues of the Schrödinger Hamiltonian and their relation to Sobolev inequalities, Studies in Mathematical Physics, pp.269-330, 1975. ,
Lieb-Thirring inequalities, Kluwer Encyclopedia of Mathematics, vol.II, pp.311-313, 2000. ,
Asymptotics of heavy atoms in high magnetic fields: II. Semiclassical regions, Communications in Mathematical Physics, vol.52, issue.1, pp.77-124, 1994. ,
DOI : 10.1007/BF02099414
Ground states of large quantum dots in magnetic fields, Physical Review B, vol.51, issue.16, pp.10646-10665, 1995. ,
DOI : 10.1103/PhysRevB.51.10646
Linear Operator Semigroup Theory and Applications to Partial Differential Equations, 1983. ,
Simon : Methods of modern mathematical physics : Analysis of operators, Academic press, 1979. ,
Trace Ideals and their applications, Mathematical Surveys and monographs, vol.120 ,
DOI : 10.1090/surv/120
The quasi-classical asymptotics of local Riesz means for the Schrödinger operator in a strong homogeneous magnetic field. Duke Math, J, vol.74, issue.2, pp.319-429, 1994. ,
Quasi-classical asymptotics of local Riesz means for the Schrödinger operator in a moderate magnetic field, Ann. Inst. H. Poincaré Phys. Théor, vol.62, issue.4, pp.325-360, 1995. ,
DISCRETE SPECTRUM ASYMPTOTICS FOR THE SCHR??DINGER OPERATOR WITH A SINGULAR POTENTIAL AND A MAGNETIC FIELD, Reviews in Mathematical Physics, vol.08, issue.06, pp.861-903, 1996. ,
DOI : 10.1142/S0129055X96000305
Asymptotic behavior of the energy levels of a quantum particle in a homogeneous magnetic field, perturbed by a decreasing electric field. I, Journal of Soviet Mathematics, vol.13, issue.No. 5, pp.2201-2212, 1986. ,
DOI : 10.1007/BF01104868
On the Lieb-Thirring estimates for the Pauli operator, Duke Math, J, vol.82, pp.607-635, 1996. ,
Lieb-Thirring Inequalities for the Pauli Operator in Three Dimensions, Math. Appl, vol.95, pp.155-188, 1997. ,
DOI : 10.1007/978-1-4612-1940-8_9
QUANTUM COHERENT OPERATORS, Coherent States, pp.145-154, 1991. ,
DOI : 10.1142/9789814503839_0035
Quantum coherent operators, in proceedings of the internationnal symposium coherent states past, present, and future, World scientific, pp.507-513, 1994. ,
Counting eigenvalues using coherent states with an application to Dirac and Schrödinger operators in the semi-classical limit, Arkiv för Mat, vol.34, issue.2, pp.265-283, 1996. ,
A New Coherent States Approach to Semiclassics Which Gives Scott???s Correction, Communications in Mathematical Physics, vol.79, issue.2-3, pp.383-420, 2003. ,
DOI : 10.1007/s00220-003-0936-z
The asymptotic behavior of the energy of bound states of the Schrödinger operator in the presence of electric and magnetic fields, Probl. Mat. Fiz, vol.10, pp.266-278, 1982. ,
A New Coherent States Approach to Semiclassics Which Gives Scott???s Correction, Communications in Mathematical Physics, vol.79, issue.2-3, pp.383-420, 2003. ,
DOI : 10.1007/s00220-003-0936-z
Sharp spectral asymptotics and Weyl formula for elliptic operators with Non-smooth Coefficients???-Part 2, Colloquium Mathematicum, vol.92, issue.1, pp.291-321, 1999. ,
DOI : 10.4064/cm92-1-1