Quantal two-center Coulomb problem treated by means of the phase-integral method. I. General theory

DOI10.1063/1.1399294zbMath1020.81050arXivnlin/0012055OpenAlexW1974840407MaRDI QIDQ2774709

Nanny Fröman, Per Olof Fröman, N. Athavan, Muthusamy Lakshmanan

Publication date: 26 February 2002

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

Full work available at URL: https://arxiv.org/abs/nlin/0012055

zbMATH Keywords

phase-integral quantizationa priori unspecified base function

Mathematics Subject Classification ID

Path integrals in quantum mechanics (81S40) Software, source code, etc. for problems pertaining to quantum theory (81-04) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Molecular physics (81V55) Elliptic functions and integrals (33E05)

Related Items (5)

The problem of two fixed centers: bifurcations, actions, monodromy ⋮ WKB and exact wave functions for inverse power-law potentials ⋮ Quantal two-center Coulomb problem treated by means of the phase-integral method. II. Quantization conditions in the symmetric case expressed in terms of complete elliptic integrals. Numerical illustration ⋮ Quantal two-center Coulomb problem treated by means of the phase-integral method. III. Quantization conditions in the general case expressed in terms of complete elliptic integrals. Numerical illustration ⋮ Global phase portraits of the planar perpendicular problem of two fixed centers

Cites Work

• Quantal two-center Coulomb problem treated by means of the phase-integral method. II. Quantization conditions in the symmetric case expressed in terms of complete elliptic integrals. Numerical illustration
• Quantal two-center Coulomb problem treated by means of the phase-integral method. III. Quantization conditions in the general case expressed in terms of complete elliptic integrals. Numerical illustration
• Exact wave functions of HeH ²⁺
• Exact Quantization Conditions. II
• The Stokes constants for a cluster of transition points
• Wave functions of the hydrogen molecular ion

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