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

Access to Document

10.1134/S106377881702020X

Fingerprint Dive into the research topics of 'Two-center Coulomb problem with Calogero interaction'. Together they form a unique fingerprint.

Cite this

@article{945673e497f040e09e2eaeee890676b5,

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",

month = mar,

day = "1",

doi = "10.1134/S106377881702020X",

language = "English",

volume = "80",

pages = "383--388",

journal = "Physics of Atomic Nuclei",

issn = "1063-7788",

publisher = "Maik Nauka-Interperiodica Publishing",

number = "2",

}

TY - JOUR

T1 - Two-center Coulomb problem with Calogero interaction

AU - Hakobyan, T.

AU - Nersessian, A.

PY - 2017/3/1

Y1 - 2017/3/1

N2 - 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.

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.

UR - http://www.scopus.com/inward/record.url?scp=85018820072&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85018820072&partnerID=8YFLogxK

U2 - 10.1134/S106377881702020X

DO - 10.1134/S106377881702020X

M3 - Article

AN - SCOPUS:85018820072

VL - 80

SP - 383

EP - 388

JO - Physics of Atomic Nuclei

JF - Physics of Atomic Nuclei

SN - 1063-7788

IS - 2

ER -

Two-center Coulomb problem with Calogero interaction

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Cite this