On a certain semiclassical problem on Wiener spaces
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Publication:1425475
DOI10.2977/prims/1145476107zbMath1058.81018OpenAlexW2015270780MaRDI QIDQ1425475
Publication date: 21 March 2004
Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2977/prims/1145476107
Scattering theory for PDEs (35P25) Schrödinger operator, Schrödinger equation (35J10) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20)
Related Items (4)
Semiclassical limit of the lowest eigenvalue of a Schrödinger operator on a Wiener space. ⋮ Tunneling for spatially cut-off \(P(\phi)_2\)-Hamiltonians ⋮ WITTEN LAPLACIAN ON PINNED PATH GROUP AND ITS EXPECTED SEMICLASSICAL BEHAVIOR ⋮ Spectral gaps of Schrödinger operators and diffusion operators on abstract Wiener spaces
Cites Work
- Logarithmic Sobolev inequalities on loop groups
- The log-Sobolev inequality on loop space over a compact Riemannian manifold
- Uniform positivity improving property, Sobolev inequalities, and spectral gaps
- The quasiclassical limit for the Schrödinger operator and phase transitions in quantum statistical physics
- Semiclassical limit of the lowest eigenvalue of a Schrödinger operator on a Wiener space.
- Trace formulas, a Golden-Thompson inequality and classical limit in boson Fock space
- Uniqueness of ground states for Schrödinger operators over loop groups
- Existence and uniqueness of physical ground states
- Logarithmic Sobolev Inequalities
- WITTEN LAPLACIAN ON PINNED PATH GROUP AND ITS EXPECTED SEMICLASSICAL BEHAVIOR
- Spectral gap of positive operators and applications
- An estimate of the gap of spectrum of Schrödinger operators which generate hyperbounded semigroups
- Poincaré inequality for weighted first order Sobolev spaces on loop spaces
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