Relativistic Coulomb problem in curved spaces

In this paper, we study generalizations of the two-dimensional relativistic Coulomb problem in curved geometries with constant positive and negative curvature. It is shown that in both cases the effective Schrödinger-like equations exhibit features of broken supersymmetry and the spectrum is obtaine...

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Bibliographic Details
Published inEurophysics letters Vol. 127; no. 1; pp. 10005 - 10011
Main Authors Le, Dai-Nam, Phan, Anh-Luan, Le, Van-Hoang, Roy, Pinaki
Format Journal Article
LanguageEnglish
Published Les Ulis EDP Sciences, IOP Publishing and Società Italiana di Fisica 01.07.2019
IOP Publishing
Subjects
03.65.Ge
03.65.Pm
12.90.+b
Curvature
Relativistic effects
Supersymmetry
Two dimensional analysis
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Summary:In this paper, we study generalizations of the two-dimensional relativistic Coulomb problem in curved geometries with constant positive and negative curvature. It is shown that in both cases the effective Schrödinger-like equations exhibit features of broken supersymmetry and the spectrum is obtained using the SWKB method. Some features of the spectra and restoration of supersymmetry in the zero curvature limit have also been analyzed.
Bibliography:ark:/67375/80W-XZ5G20H8-N
href:https://epljournal.edpsciences.org/0295-5075/127/i=1/a=10005/article
istex:F0F26E8C35C45A8F413AA0B1566101A364D2604E
publisher-ID:epl19743
ISSN:0295-5075
1286-4854
1286-4854
DOI:10.1209/0295-5075/127/10005