Calculation of Relativistic Single-Particle States
(2023) In Few-Body Systems 64(4).- Abstract
A computational method is proposed to calculate bound and resonant states by solving the Klein–Gordon and Dirac equations for real and complex energies, respectively. The method is an extension of a non-relativistic one, where the potential is represented in a Coulomb–Sturmian basis. This basis facilitates the exact analytic evaluation of the Coulomb Green’s operator in terms of a continued fraction. In the extension to relativistic problems, we cast the Klein–Gordon and Dirac equations into an effective Schrödinger form. Then the solution method is basically an analytic continuation of non-relativistic quantities like the angular momentum, charge, energy and potential into the effective relativistic counterparts.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/e0b425af-f9c6-4158-947d-2da1f9dd5b5c
- author
- Wingard, D. ; Kónya, B. LU and Papp, Z.
- organization
- publishing date
- 2023-12
- type
- Contribution to journal
- publication status
- published
- subject
- in
- Few-Body Systems
- volume
- 64
- issue
- 4
- article number
- 88
- publisher
- Springer
- external identifiers
-
- scopus:85176315315
- ISSN
- 0177-7963
- DOI
- 10.1007/s00601-023-01869-y
- language
- English
- LU publication?
- yes
- additional info
- Publisher Copyright: © 2023, The Author(s), under exclusive licence to Springer-Verlag GmbH Austria, part of Springer Nature.
- id
- e0b425af-f9c6-4158-947d-2da1f9dd5b5c
- date added to LUP
- 2024-01-03 13:18:35
- date last changed
- 2025-04-04 14:31:37
@article{e0b425af-f9c6-4158-947d-2da1f9dd5b5c,
abstract = {{<p>A computational method is proposed to calculate bound and resonant states by solving the Klein–Gordon and Dirac equations for real and complex energies, respectively. The method is an extension of a non-relativistic one, where the potential is represented in a Coulomb–Sturmian basis. This basis facilitates the exact analytic evaluation of the Coulomb Green’s operator in terms of a continued fraction. In the extension to relativistic problems, we cast the Klein–Gordon and Dirac equations into an effective Schrödinger form. Then the solution method is basically an analytic continuation of non-relativistic quantities like the angular momentum, charge, energy and potential into the effective relativistic counterparts.</p>}},
author = {{Wingard, D. and Kónya, B. and Papp, Z.}},
issn = {{0177-7963}},
language = {{eng}},
number = {{4}},
publisher = {{Springer}},
series = {{Few-Body Systems}},
title = {{Calculation of Relativistic Single-Particle States}},
url = {{http://dx.doi.org/10.1007/s00601-023-01869-y}},
doi = {{10.1007/s00601-023-01869-y}},
volume = {{64}},
year = {{2023}},
}