Two-center Coulomb problem with Calogero interaction

Abstract

We show that the Calogero-type perturbation preserves the integrability and partial separation of variables for the Stark–Coulomb and two-center Coulomb problems, and present the explicit expressions of their constants of motion. We reveal that this perturbation preserves the spectra of initial systems, but leads to the change of degree of degeneracy.

Original language	English
Pages (from-to)	383-388
Number of pages	6
Journal	Physics of Atomic Nuclei
Volume	80
Issue number	2
DOIs	https://doi.org/10.1134/S106377881702020X
Publication status	Published - 1 Mar 2017
Externally published	Yes

ASJC Scopus subject areas

Atomic and Molecular Physics, and Optics
Nuclear and High Energy Physics

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10.1134/S106377881702020X

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title = "Two-center Coulomb problem with Calogero interaction",

abstract = "We show that the Calogero-type perturbation preserves the integrability and partial separation of variables for the Stark–Coulomb and two-center Coulomb problems, and present the explicit expressions of their constants of motion. We reveal that this perturbation preserves the spectra of initial systems, but leads to the change of degree of degeneracy.",

author = "T. Hakobyan and A. Nersessian",

year = "2017",

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doi = "10.1134/S106377881702020X",

language = "English",

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AB - We show that the Calogero-type perturbation preserves the integrability and partial separation of variables for the Stark–Coulomb and two-center Coulomb problems, and present the explicit expressions of their constants of motion. We reveal that this perturbation preserves the spectra of initial systems, but leads to the change of degree of degeneracy.

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