Semiclassical approximation for Schrödinger operators on a two-sphere at high energy
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Publication:4873446
DOI10.1063/1.531273zbMath0844.58081OpenAlexW2059025497MaRDI QIDQ4873446
Lawrence E. Thomas, Stephen R. Wassell
Publication date: 29 August 1996
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.531273
Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20)
Related Items (8)
The Bargmann transform and regularization of the 2, 3, 5-dimensional Kepler problem ⋮ Entropy and the Segal-Bargmann transform ⋮ Coherent states on spheres ⋮ Asymptotic density of eigenvalue clusters for the perturbed Landau Hamiltonian ⋮ Semiclassical properties of coherent states for \(L^2(S^n)\), \(n=2,3,5\) ⋮ Coherent states on the unit ball of C n and asymptotic expansion of their associated covariant symbol ⋮ On a Bargmann transform and coherent states for the n-sphere ⋮ Time decay of scaling invariant electromagnetic Schrödinger equations on the plane
Cites Work
- Eigenvalue distribution theorems for certain homogeneous spaces
- The Schrödinger equation and canonical perturbation theory
- Some spectral results on rank one symmetric spaces
- Spectre conjoint d'opérateurs pseudo-différentiels qui commutent. II. Le cas intégrable
- Band asymptotics in two dimensions
- Asymptotics of eigenvalue clusters for the Laplacian plus a potential
- The Laplace operator with potential on the 2-sphere
- Zonal Schrödinger operators on the \(n\)-sphere: Inverse spectral problem and rigidity
- A symbol calculus for a class of pseudodifferential operators on \(S^ n\) and band asymptotics
- On a Hilbert space of analytic functions and an associated integral transform part I
- On the Representations of the Rotation Group
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