Abstract
In this paper, we study the effects of rotational symmetry on the relativistic quantum dynamics of generalized vector bosons oscillator (GVBO) in the background of \((1+2)\)-dimensional Gürses space-time. We derived the radial wave equation and obtained its solution of the wave function and the energy levels through the Whittaker equation. We investigate how the non-trivial topology due to the rotational symmetry of the curved space-time modifies the energy spectrum and the wave function of vector bosons without or via Duffin-Kemmer-Petiau (DKP) oscillator description in comparison to the flat space result.
Similar content being viewed by others
Data Availability Statement
No new data are generated in this article.
References
R.J. Duffin, Phys. Rev. 54, 1114 (1938)
N. Kemmer, Proc. R. Soc. London Ser. A 173, 91 (1939)
G. Petiau, Acad. R. Belg. Cl. Sci. Mém. Collect. 8, 16 (1939)
R.F. Guertin, Phys. Rev. D 15, 1518 (1977)
B. Vijayalakshmi, M. Seetaraman, P.M. Mathews, J. Phys. A: Math. Gen. 12, 665 (1979)
J.T. Lunardi, J. Math. Phys. 58, 123501 (2017)
A.O. Barut, Phys. Lett. B 237, 436 (1990)
N. Ünal, Found. Phys. 27, 731 (1997)
M. de Montigny, E.S. Santos, J. Math. Phys. 60, 082302 (2019)
V.M. Redkow, arXiv:9812007 [quant-ph]
L.B. Castro, Eur. J. Phys. 75, 287 (2015)
L.B. Castro, Eur. J. Phys. 76, 61 (2016)
H. Hassanabadi, W.S. Chung, S. Zare, H. Sobhani, Eur. Phys. C 78, 83 (2018)
H. Hassanabadi, S. Zare, M. de Montigny, Gen. Rel. Grav. 50, 10 (2018)
M.A. Hun, N. Candemir, Int. J. Mod. Phys. A 34, 1950056 (2019)
M. Falek, M. Mared, Int. J. Mod. Phys. A 25, 2747 (2010)
F. Ahmed, H. Hassanabadi, Mod. Phys. Lett. A 35, 2050031 (2020)
F. Ahmed, Commun. Theor. Phys. 72, 025103 (2020)
K. Söğüt, A. Havare and I. Açıkgöz J. Math. Phys. 43, 3952 (2002)
Y. Sucu, N. Ünal, Int. J. Mod. Phys. A 17, 1137 (2002)
Y. Sucu, N. Ünal, Eur. Phys. J. C 44, 287 (2005)
A. Havare, T. Yetkin, Class. Quantum Grav. 19, 2783 (2002)
E.E. Kangal, H. Yanar, A. Havare, Ann. Phys. (N. Y.) 343, 40 (2014)
K. Söğüt, A. Havare, Class. Quantum Grav. 23, 7129 (2006)
Y. Sucu, C. Tekincay, Astrophys. Space Sci. 364, 56 (2019)
M. Dernek, S. Gürtas, Y. Sucu, N. Ünal, Turk. J. Phys. 42, 509 (2018)
M. Saltı, N. Ünal, Mod. Phys. Lett. A 20, 451 (2005)
M. Gürses, Class. Quantum Grav. 11, 2585 (1994)
M. Gürses, Gen. Relativ. Gravit. 42, 1413 (2010)
F. Ahmed, Ann. Phys. (N. Y.) 401, 193 (2019)
F. Ahmed, Mod. Phys. Lett. A 34, 1950314 (2019)
F. Ahmed, Ann. Phys. (N. Y.) 404, 1 (2019)
F. Ahmed, Gen. Relativ. Gravit. 51, 69 (2019)
F. Ahmed, Eur. Phys. J. Plus 134, 518 (2019)
F. Ahmed, Ann. Phys. (N. Y.) 411, 167941 (2019)
F. Ahmed, Gen. Relativ. Gravit. 51, 129 (2019)
F. Ahmed, Ann. Phys. (N. Y.) 415, 168113 (2020)
M.J. Rebouças, J. Tiomno, Phys. Rev. D 2, 1251 (1983)
A.K. Raychaudhuri, S.N.G. Thakurta, Phys. Rev. D 22, 802 (1980)
J.B.F. Neto, M.J. Rebouças, Gen. Rel. Grav. 30, 1301 (1998)
A. Boumali, L. Chetouani, Phys. Lett. A 346, 261 (2005)
A. Güvendi, S. Zare, H. Hassanabadi, Eur. Phys. J. A 57, 192 (2021)
F. Ahmed, Eur. Phys. J. C 80, 211 (2020)
H. Chen, Z.W. Long, Y. Yang, Z.L. Zhao, C.Y. Long, Int. J. Mod. Phys. A 35, 2050107 (2020)
F. Ahmed, Sci. Rep. 11, 1742 (2021)
F. Ahmed, Adv. High Energy Phys. 2020, 8107025 (2020)
F. Ahmed, EPL 130, 40003 (2020)
L.F. Deng, C.Y. Long, Z.W. Long, T. Xu, Adv. High Energy Phys. 2018, 2741694 (2018)
E. Eichten, K. Gottfried, T. Kinoshita, K. Lane, T.M. Yan, Phys. Rev. Lett. 34, 369 (1978)
N.R. Soni, B.R. Joshi, R.P. Shah, H.R. Chauhan, J.N. Pandya, Eur. Phys. J. C 78, 592 (2018)
O. Andreev, V.I. Zakharov, Phys. Rev. D 74, 025023 (2006)
M. Abramowitz, I. Stegun, Handbook of Mathematical Functions wih Formulas, Graphs and Mathematical Tables (U. S. Government Printing Office, Washington, D.C., 1972)
W.C.F. da Silva, K. Bakke, Eur. Phys. J. C 79, 559 (2019)
A.V.D.M. Maia, K. Bakke, Commun. Theor. Phys. 73, 025103 (2021)
V.B. Bezerra, J. Math. Phys. 38, 2553 (1997)
G.A. Marques, C. Furtado, V.B. Bezerra, J. Phys.: A Math. Gen. 34, 5945 (2001)
M.K. Bahar, F. Yasuk, Adv. High Energy Phys. 2013, 814985 (2013)
M.M. Som, A.K. Raychaudhuri, Proc. R. Soc. A 304, 81 (1968)
M. de Montigny, S. Zare, H. Hassanabadi, Gen. Relativ. Gravit. 50, 47 (2018)
Acknowledgements
We sincerely acknowledged the anonymous kind referee for his/her valuable comments and helpful suggestions. This work is supported by Eskisehir Technical University Commission of Research Projects under Grant no: 22ADP130.
Author information
Authors and Affiliations
Corresponding author
Ethics declarations
Conflict of interest
There is no conflict of interest regarding publication of this paper.
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Appendix A. (1+2) Dimensions Gürses Metric
Appendix A. (1+2) Dimensions Gürses Metric
The spacetime metric considered by Gürses in three dimensions [28] (see Eq.(7), notations are same) is given in the form
where
and \(a_{0}, b_{0}, b_{1}, c_{0}, e_{0}\) are arbitrary constants.
After the constants in (A.2) [30] are chosen as
substituting the found forms of \(\phi ,\psi ,h, q,\) in (A.1), the spacetime metric takes on the following new form
Finally choosing the constants in (A4) as
(1+2) dimensions Gürses metric (7) presented in this work is became
Rights and permissions
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
About this article
Cite this article
Candemir, N., Ahmed, F. Generalized Vector Boson Oscillator in (1+2)-Dimensional Gürses Space-Time. Few-Body Syst 64, 13 (2023). https://doi.org/10.1007/s00601-023-01795-z
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/s00601-023-01795-z