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

DOI10.1063/1.1399295zbMath1021.81072OpenAlexW1996036602MaRDI QIDQ2774710

N. Athavan, Nanny Fröman, Muthusamy Lakshmanan

Publication date: 26 February 2002

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

Full work available at URL: https://doi.org/10.1063/1.1399295

zbMATH Keywords

contour integralsquantization conditionsquasiclassical dynamicsstates of the hydrogen molecule ion

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 (4)

The problem of two fixed centers: bifurcations, actions, monodromy ⋮ Quantal two-center Coulomb problem treated by means of the phase-integral method. I. General theory ⋮ 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. I. General theory
• 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

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