Semiclassical Szegö limit of resonance clusters for the hydrogen atom Stark Hamiltonian

DOI10.3233/ASY-2011-1087zbMath1256.81120arXiv1104.4466OpenAlexW1643705627MaRDI QIDQ3168199

Carlos Villegas-Blas, Peter D. Hislop

Publication date: 29 October 2012

Published in: Asymptotic Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1104.4466

zbMATH Keywords

hydrogen atom Stark effectresonance clusterssemiclassical Szegö limit

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Perturbation theories for operators and differential equations in quantum theory (81Q15) Atomic physics (81V45) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20)

Related Items (4)

Semiclassical Szegö limit of eigenvalue clusters for the hydrogen atom Zeeman Hamiltonian ⋮ On Limiting Eigenvalue Distribution Theorems in Semiclassical Analysis ⋮ Stark resonances in 2-dimensional curved quantum waveguides ⋮ Perturbations of the Landau Hamiltonian: asymptotics of eigenvalue clusters

This page was built for publication: Semiclassical Szegö limit of resonance clusters for the hydrogen atom Stark Hamiltonian