Asymptotics of spectral clusters for a perturbation of the hydrogen atom

DOI10.1007/S00220-008-0421-9zbMath1145.81052OpenAlexW2070219736MaRDI QIDQ934616

Carlos Villegas-Blas, Alejandro Uribe

Publication date: 30 July 2008

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00220-008-0421-9

Mathematics Subject Classification ID

Perturbation theory of linear operators (47A55) General theory of partial differential operators (47F05) Schrödinger operator, Schrödinger equation (35J10) Perturbation theories for operators and differential equations in quantum theory (81Q15) Atomic physics (81V45)

Related Items (6)

The spectral density of the scattering matrix of the magnetic Schrödinger operator for high energies ⋮ Semiclassical Szegö limit of eigenvalue clusters for the hydrogen atom Zeeman Hamiltonian ⋮ Asymptotic density of eigenvalue clusters for the perturbed Landau Hamiltonian ⋮ Band invariants for perturbations of the harmonic oscillator ⋮ On Limiting Eigenvalue Distribution Theorems in Semiclassical Analysis ⋮ Perturbations of the Landau Hamiltonian: asymptotics of eigenvalue clusters

Cites Work

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• Clustering for the spectrum of \(h\)-pseudodifferential operators with periodic flow on an energy surface
• Asymptotics of Rydberg states for the hydrogen atom
• Regularization of kepler's problem and the averaging method on a manifold
• An introduction to semiclassical and microlocal analysis

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