scientific article; zbMATH DE number 809156
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Publication:4852906
zbMath0843.35024MaRDI QIDQ4852906
Publication date: 30 November 1995
Full work available at URL: http://www.numdam.org/item?id=AIHPA_1995__62_4_325_0
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Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with quantum mechanics (35Q40) Schrödinger operator, Schrödinger equation (35J10)
Related Items (8)
Derivation of the magnetic Euler-Heisenberg energy ⋮ Optimal semiclassical spectral asymptotics for differential operators with non-smooth coefficients ⋮ Scott correction for large atoms and molecules in a self-generated magnetic field ⋮ Eigenvalue bounds for two-dimensional magnetic Schrödinger operators ⋮ An optimal semiclassical bound on commutators of spectral projections with position and momentum operators ⋮ Sharp trace asymptotics for a class of \(2D\)-magnetic operators ⋮ A proof of Scott's correction for matter ⋮ Semiclassics of the quantum current in very strong magnetic fields
Cites Work
- Calcul fonctionnel par la transformation de Mellin et opérateurs admissibles
- Autour de l'approximation semi-classique. (Around semiclassical approximation)
- Schrödinger operators with magnetic fields. I: General interactions
- The Thomas-Fermi theory of atoms, molecules and solids
- Asymptotics of the ground state energies of large Coulomb systems
- Asymptotics of heavy atoms in high magnetic fields. II: Semiclassical regions
- The quasi-classical asymptotics of local Riesz means for the Schrödinger operator in a strong homogeneous magnetic field
- Asymptotics of heavy atoms in high magnetic fields: I. Lowest landau band regions
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