DÉVELOPPEMENTS ASYMPTOTIQUES DE L'OPÉRATEUR DE SCHRÖDINGER AVEC CHAMP MAGNÉTIQUE FORT
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Publication:2747888
DOI10.1081/PDE-100001765zbMath0984.35118MaRDI QIDQ2747888
Publication date: 5 May 2002
Published in: Communications in Partial Differential Equations (Search for Journal in Brave)
Asymptotic distributions of eigenvalues in context of PDEs (35P20) PDEs in connection with quantum mechanics (35Q40) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)
Related Items
Trace asymptotics formula for the Schrödinger operators with constant magnetic fields ⋮ A trace formula and application to Stark Hamiltonians with nonconstant magnetic fields ⋮ Semi-classical-Fourier-integral-operator-valued pseudodifferential operators and scattering in a strong magnetic field ⋮ Eigenvalues and eigenfunctions for the two dimensional Schrödinger operator with strong magnetic field ⋮ Perturbations of the Landau Hamiltonian: asymptotics of eigenvalue clusters
Cites Work
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- Calcul fonctionnel par la transformation de Mellin et opérateurs admissibles
- Characterization of pseudodifferential operator and application
- Strong-electric-field eigenvalue asymptotics for the perturbed magnetic Schrödinger operator
- The quasi-classical asymptotics of local Riesz means for the Schrödinger operator in a strong homogeneous magnetic field
- Quelques remarques sur le spectre de l'opérateur de schrödinger avec un champ magnétique
- Spectre D'Un hamiltonien quantique et mecanique classique
- Eigenvalue asymptotics for the schrodinger operator in strong constant magnetic fields