The Laplace operator with potential on the 2-sphere

DOI10.1016/0001-8708(79)90020-3zbMath0407.58035OpenAlexW2058294074MaRDI QIDQ1258125

Harold Widom

Publication date: 1979

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0001-8708(79)90020-3

zbMATH Keywords

EigenvalueLaplace Operator with PotentialLaplace-Beltrami Operatorr

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Perturbation theory of linear operators (47A55) Pseudodifferential and Fourier integral operators on manifolds (58J40)

Related Items (8)

Asymptotics of the eigenvalues and the formula for the trace of perturbations of the Laplace operator on the sphere \(\mathbb{S}^2\) ⋮ The formula of the regularized trace for the Laplace-Beltrami operator with odd potential on the sphere \(S^ 2\) ⋮ Regularized trace of the perturbed Laplace-Beltrami operator on two-dimensional manifolds with closed geodesics ⋮ Semiclassical approximation for Schrödinger operators on a two-sphere at high energy ⋮ The regularized trace of the perturbed Laplace-Beltrami operator on a certain family of manifolds ⋮ Lower Order Terms in Szegö Type Limit Theorems on Zoll Manifolds^† ⋮ Maximally degenerate Laplacians ⋮ On the convergence of the trace of a power of the Laplace-Beltrami operator with a potential on the sphere \(S^n\)

Cites Work

• Some spectral results for the Laplace operator with potential on the n- sphere
• An Addendum to: Some spectral results on rank one symmetric spaces

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