Bound states for two dimensional Schrödinger equation with anisotropic interactions localized on a circle

DOI10.1063/1.4907382zbMath1312.81070OpenAlexW1985090861MaRDI QIDQ5178210

E. de Prunelé

Publication date: 13 March 2015

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

Full work available at URL: https://doi.org/10.1063/1.4907382

zbMATH Keywords

Schrödinger equationbound statesLaurent matriceslocalized interactions

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)

Related Items (2)

Two-dimensional quantum scattering by non-isotropic interactions localized on a circle, applications to open billiards ⋮ Two-dimensional Helmholtz equation with zero Dirichlet boundary condition on a circle: Analytic results for boundary deformation, the transition disk-lens

Cites Work

• Asymptotic formulas for the zeros of the Meixner polynomials
• A mathematically rigorous formulation of the pseudopotential method
• Solvable quantum mechanical model in two-dimensional space
• On Lommel and Bessel Polynomials
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Bound states for two dimensional Schrödinger equation with anisotropic interactions localized on a circle