| Issue |
EPL
Volume 127, Number 1, July 2019
|
|
|---|---|---|
| Article Number | 10005 | |
| Number of page(s) | 7 | |
| Section | General | |
| DOI | https://doi.org/10.1209/0295-5075/127/10005 | |
| Published online | 12 August 2019 | |
Relativistic Coulomb problem in curved spaces
1 Atomic Molecular and Optical Physics Research Group, Advanced Institute of Materials Science, Ton Duc Thang University - Ho Chi Minh City, Vietnam
2 Faculty of Applied Sciences, Ton Duc Thang University - Ho Chi Minh City, Vietnam
3 Faculty of Physics and Engineering Physics, University of Science, VNU- HCM - 227 Nguyen Van Cu St., Dist. 5, Ho Chi Minh City, Vietnam
4 Institute of Research and Development, Duy Tan University - Da Nang 550000, Vietnam
5 Department of Physics, Ho Chi Minh City University of Education - 280 An Duong Vuong St., Dist. 5, Ho Chi Minh City, Vietnam
(a) ledainam@tdtu.edu.vn
(b) hoanglv@hcmue.edu.vn
(c) pinaki.roy@tdtu.edu.vn (corresponding author)
Received: 20 May 2019
Accepted: 5 July 2019
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.
PACS: 03.65.Pm – Relativistic wave equations / 03.65.Ge – Solutions of wave equations: bound states / 12.90.+b – Miscellaneous theoretical ideas and models (restricted to new topics in section 12)
© EPLA, 2019
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