Abstract
In this work, we investigate the quantum dynamics of non-relativistic particles interacting with a potential in the background of the topological defect produced by cosmic strings. We choose a pseudoharmonic-type potential in the quantum system and determine the exact eigenvalue solution using the parametric Nikiforov-Uvarov method. It is shown that the energy eigenvalue and wave function is influenced by the topological defect and get them shifted compared to the flat space result with this potential. This eigenvalue solution is then utilized in some diatomic molecular potential models and presented as the eigenvalue solution. Finally, we study the thermodynamic properties of the quantum system at finite temperature \(T \ne 0\) and calculate the partition function with other thermodynamic quantities, such as the vibrational free energy, mean free energy, specific heat capacity, and entropy and analyze the effects on them.
Similar content being viewed by others
Data Availibility Statement
All data generated or analysed during this study are included in this published article.
References
Eshghi, M., Mehraban, H.: Math. Meth. Aappl. Sci. 39, 1599 (2016)
Aydogdu, O., Sever, R.: Ann. Phys. (N. Y.) 325, 373 (2010)
Arda, A., Sever, R.: Commun. Theor. Phys. 58, 27 (2012)
Zhang, M.C., Sun, G.H., Dong, S.H.: Phys. Lett. A 374, 704 (2010)
Ortakaya, S.: Chin. Phys. B 21, 070303 (2012)
Ishkhanyan, A.: EPL 115, 20002 (2016)
Eshghi, M., Mehraban, H.: Chin. J. Phys. 50, 533 (2012)
Eshghi, M., Mehraban, H.: J. Math. Phys. 57, 082105 (2016)
Eshghi, M., Mehraban, H.: C. R. Physique. 18, 47 (2017)
Schiff, L.I.: Quantum Mechanics. McGraw-Hill, New York (1955)
Landau, L.D., Lifshitz, E.M.: Quantum Mechanics. Pergamon, Non-Relativistic Theory (1977)
Greiner, W.: Quantum Mechanics: An Introduction. Springer-Verlag, Berlin, Germany (2001)
Ikhdair, S.M., Sever, R.: Jour. Mol. Struc. (Theochem) 806, 155 (2007)
Dong, S.H., Morales, D., Ravelo, J.G.: Int. J. Mod. Phys. E 16, 189 (2007)
Oyewumi, K.J., Bangudu, E.A.: Arab. J. Sci. Eng. 28, 173 (2003)
Ikhdair, S.M., Sever, R.: Cent. Eur. J. Phys. 5, 516 (2007)
Kumar, V., Singh, R.M., Bhardwaj, S.B., Rani, R., Chand, F.: Mod. Phys. Lett. A 37, 2250010 (2022)
Sever, R., Tezcan, C., Aktas, M., Yesiltas, O.: J. Math. Chem. 43, 845 (2008)
Rani, R., Bhardwaj, S.B., Chand, F.: Pramana-J. Phys. 91, 46 (2018)
Cetin, A.: Phys. Lett. A 372, 3852 (2008)
Ikhdair, S.M., Hamzavi, M.: Physica B 407, 4198 (2012)
Ikhdair, S.M., Sever, R.: Cent. Eur. J. Phys. 6, 697 (2008)
Ikhdair, S., Sever, R.: J. Mol. Struct. (THEOCHEM) 855, 13 (2008)
de Montigny, M., Zare, S., Hassanabadi, H.: Gen. Relativ. Gravit. 50, 47 (2018)
de Montigny, M., Hassanabadi, H., Pinfold, J., Zare, S.: Eur. Phys. J. Plus 136, 788 (2021)
de Montigny, M., Pinfold, J., Zare, S., Hassanabadi, H.: Eur. Phys. J. Plus 137, 54 (2022)
Ahmed, F.: Proc. R. Soc. A 478, 20220091 (2022)
Ikot, A.N., Okorie, U.S., Amadi, P.O., Edet, C.O., Rampho, G.J., Sever, R.: Few-Body Syst. 62, 9 (2021)
Inyang, E.P., et al.: Can. J. Phys. 100, 463 (2022)
Hassanabadi, H., Maghsoodi, E., Zarrinkamar, S.: Eur. Phys. J. Plus 127, 31 (2012)
Oyewumi, K.J., Akoshile, C.O.: Eur. Phys. J. A 45, 311 (2010)
Oyewunmi, K.J., Falaye, B.J., Onate, C.A., Oluwadare, O.J., Yahya, W.A.: Mol. Phys. 112, 127 (2014)
Oyewunmi, K.J., et al.: Int. J. Mod. Phys. E 23, 1450005 (2014)
Medeiros, E.R.F., Bezerra de Mello, E.R.: Eur. Phys. J. C 72, 2051 (2012)
Boumali, A., Aounallah, H.: Adv. High Energy Phys. 2018, 1031763 (2018)
Boumali, A., Aounallah, H.: Rev. Mex. de Fis. 66, 192 (2020)
de Oliveira, A.L.C., Bezerra de Mello, E.R.: Class. Quantum Grav. 23, 5249 (2006)
Ahmed, F.: EPL 133, 50002 (2021)
Ahmed, F.: Int. J. Geom. Meth. Mod. Phys. 18, 2150187 (2021)
Furtado, C., Moraes, F.: J. Phys. A : Math. Gen. 33, 5513 (2000)
de A Marques, G., Bezerra, V.B.: Class. Quantum Grav. 19, 985 (2002)
de A. Marques, G., de Assis, J.G., Bezerra, V.B.: J. Math. Phys. 48, 112501 (2007)
Coelho, J.L.A., Amaral, R.L.P.G.: J. Phys. A: Math. Gen. 35, 5255 (2002)
Jusufi, K., Jakimovski, D.: Physica Macedonica 61, 85 (2012)
Edet, C.O., Ikot, A.N.: J. Low Temp. Phys. 203, 84 (2021)
Edet, C.O., Ikot, A.N.: Rev. Mex. Fis 68, 051501 (2022)
Wang, Z., Long, Z.-W., Long, C.-Y., Teng, J.: Phys. Scr. 90, 055201 (2015)
Edet, C.O., et al.: Results Phys. 39, 105749 (2022)
Edet, C.O., Lima, F.C.E., Almeida, C.A.S., Ali, N., Asjad, M.: Entropy 24(8), 1059 (2022)
Cari, C., Anggraini, D., Suparmi, A., Ma’arif, M.: AIP Conf. Proc. 2202, 020008 (2019)
Ikot, A.N., Abbey, T.M., Chukwuocha, E.O., Onyeaju, M.C.: Can. J. Phys. 94, 571 (2016)
Afshardoost, A., Hassanabadi, H.: Can. J. Phys. 94, 71 (2016)
Suparmi, A., Ma’arif, M., Dian, A., Cari, C.: J. Phys.: Conf. Ser. 1153, 012110 (2019)
Suparmi, A., Anggraini, D., Cari, C., Ma’arif, M.: J. Phys.: Conf. Ser. 1572, 012061 (2020)
Suparmi, A., Anggraini, D., Cari, C., Faniandari, S.: J. Hunan Univ. (Natural Sciences) 48, 243 (2021)
Hassanabadi, H., Afshardoost, A., Zarrinkamar, S.: Ann. Phys. (N. Y.) 356, 346 (2015)
Bakke, K., Furtado, C.: Int. J. Mod. Phys. D 19, 85 (2010)
Bakke, K., Ribeiro, L.R., Furtado, C.: Cent. Eur. J. Phys. 8, 893 (2010)
Bueno, M.J., de Melo, J.L., Furtado, C., de M. Carvalho, A.M.: Eur. Phys. J. Plus 129, 201 (2014)
Neto, J.A., Bueno, M.J., Furtado, C.: Ann. Phys. (N. Y.) 373, 273 (2016)
Ahmed, F.: Mol. Phys. 120, e2124935 (2022)
Ahmed, F.: Mol. Phys. 121, e2155596 (2023)
Valentim, A., Bakke, K., Plascak, J.A.: Eur. J. Phys. 40, 045101 (2019)
Chargui, Y., Dhahbi, A.: Ann. Phys. (N. Y.) 423, 168328 (2016)
Liu, G., Guo, K., Hassanabadi, H., Lu, L., Yazarloo, B.H.: Physica B 415, 92 (2013)
Ikot, A.N., et al.: Heliyon 6, e03738 (2020)
Jia, C.S., et al.: Chem. Phys. Lett. 717, 16 (2019)
Sobhani, H., Hassanabadi, H., Chung, W.S.: Eur. Phys. J. C 78, 106 (2018)
Ahmed, F.: J. Low Temp. Phys. 211, 11 (2023)
Ramantswana, M., et al.: Phys. Open 14, 100135 (2023)
Funding
No funds, grants, or other support were received in this manuscript.
Author information
Authors and Affiliations
Corresponding author
Ethics declarations
Conflicts of Interest
Author declares no conflicts of interest.
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
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
Ahmed, F. Effects of Cosmic String on Non-Relativistic Quantum Particles with Potential and Thermodynamic Properties. Int J Theor Phys 62, 142 (2023). https://doi.org/10.1007/s10773-023-05397-7
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/s10773-023-05397-7