scientific article; zbMATH DE number 1333075

zbMath0938.35148MaRDI QIDQ4260207

Régis de la Bretèche

Publication date: 12 June 2000

Full work available at URL: http://www.numdam.org/item?id=AIHPA_1999__70_4_369_0

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zbMATH Keywords

Schrödinger operatorconvex functionsharmonic oscillator

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Asymptotic distributions of eigenvalues in context of PDEs (35P20) PDEs in connection with quantum mechanics (35Q40)

Related Items (5)

Universal monotonicity of eigenvalue moments and sharp Lieb-Thirring inequalities ⋮ Eigenvalue bounds for Schrödinger operators with a homogeneous magnetic field ⋮ Lieb--Thirring type inequalities and Gagliardo--Nirenberg inequalities for systems ⋮ Pólya's conjecture in the presence of a constant magnetic field ⋮ Sharp Lieb-Thirring inequalities in high dimensions.

Cites Work

• Calcul fonctionnel par la transformation de Mellin et opérateurs admissibles
• Dirichlet and Neumann eigenvalue problems on domains in Euclidean spaces
• Spectral analysis of Schrödinger operators with magnetic fields
• BOUND STATES FOR SCHRÖDINGER HAMILTONIANS: PHASE SPACE METHODS AND APPLICATIONS
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