scientific article; zbMATH DE number 563026
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Publication:4290892
zbMath0842.35088MaRDI QIDQ4290892
Bernard Parisse, Bernard Helffer
Publication date: 29 July 1996
Full work available at URL: http://www.numdam.org/item?id=AIHPA_1994__60_2_147_0
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
semi-classical limitnonrelativistic limittunneling effectdecays of the eigenfunctionsKlein-Gordon and Dirac operators
Spectral theory and eigenvalue problems for partial differential equations (35P99) Path integrals in quantum mechanics (81S40) PDEs in connection with quantum mechanics (35Q40) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)
Related Items (8)
A formal computation of the splitting for the Klein-Gordon operator ⋮ The tunneling effect for a class of difference operators ⋮ Hardy type inequalities with exponential weights for a class of convolution operators ⋮ Tunneling for a class of difference operators: complete asymptotics ⋮ Super-exponential decay and holomorphic extensions for semilinear equations with polynomial coefficients ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Exponential decay of eigenfunctions of Hamiltonians with short range potential
Cites Work
- Calcul fonctionnel par la transformation de Mellin et opérateurs admissibles
- Relativistic Schrödinger operators: Asymptotic behavior of the eigenfunctions
- Autour de l'approximation semi-classique. (Around semiclassical approximation)
- Semi-classical analysis for the Schrödinger operator and applications
- Analyse semi-classique pour l'équation de Harper (avec application à l'équation de Schrödinger avec champ magnétique)
- Multiple wells in the semi-classical limit I
- Sur le spectre de l'équation de Dirac (dans $\mathbb{R}^3$ ou $\mathbb{R}^2$) avec champ magnétique
- The weyl calculus of pseudo-differential operators
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