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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.

Authors:
;  [1]
  1. Armenia Tomsk Polytechnic University, Yerevan State University (Russian Federation)
Publication Date:
OSTI Identifier:
22613975
Resource Type:
Journal Article
Journal Name:
Physics of Atomic Nuclei
Additional Journal Information:
Journal Volume: 80; Journal Issue: 2; Other Information: Copyright (c) 2017 Pleiades Publishing, Ltd.; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1063-7788
Country of Publication:
United States
Language:
English
Subject:
74 ATOMIC AND MOLECULAR PHYSICS; COULOMB FIELD; DISTURBANCES; DYNAMICS; INTERACTIONS; PERTURBATION THEORY; SPECTRA; STARK EFFECT

Citation Formats

Hakobyan, T., E-mail: tigran.hakobyan@ysu.am, and Nersessian, A., E-mail: arnerses@ysu.am. Two-center Coulomb problem with Calogero interaction. United States: N. p., 2017. Web. doi:10.1134/S106377881702020X.
Hakobyan, T., E-mail: tigran.hakobyan@ysu.am, & Nersessian, A., E-mail: arnerses@ysu.am. Two-center Coulomb problem with Calogero interaction. United States. doi:10.1134/S106377881702020X.
Hakobyan, T., E-mail: tigran.hakobyan@ysu.am, and Nersessian, A., E-mail: arnerses@ysu.am. Wed . "Two-center Coulomb problem with Calogero interaction". United States. doi:10.1134/S106377881702020X.
@article{osti_22613975,
title = {Two-center Coulomb problem with Calogero interaction},
author = {Hakobyan, T., E-mail: tigran.hakobyan@ysu.am and Nersessian, A., E-mail: arnerses@ysu.am},
abstractNote = {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.},
doi = {10.1134/S106377881702020X},
journal = {Physics of Atomic Nuclei},
issn = {1063-7788},
number = 2,
volume = 80,
place = {United States},
year = {2017},
month = {3}
}