Deformation parameter's effects on quantum information measures

Inyang, Etido

doi:10.47176/ijpr.25.1.12031

Deformation parameter's effects on quantum information measures

Document Type : Original Article

Author

Etido Inyang

Department of Physics, National Open University of Nigeria, Jabi-Abuja, Nigeria

https://doi.org/10.47176/ijpr.25.1.12031

Abstract

This study explores the influence of deformation parameters on quantum information measures using the q-deformed Hulthén-quadratic exponential-type potential. By solving the Schrödinger equation with the parametric Nikiforov-Uvarov (pNU) method, the energy spectrum and wavefunctions were derived. Quantum information measures, including Shannon entropy and Fisher information, were analyzed for ground states in position and momentum spaces. The results validate the Berkner, Bialynicki-Birula, and Mycieslki, and Stam-Cramér-Rao inequalities, underscoring their consistency with quantum principles. These findings deepen our understanding of deformation effects on quantum systems and offer potential applications in astrophysics and quantum chemistry, advancing the exploration of molecular systems and quantum information theory.

Keywords

Schrödinger equation

parametric Nikiforov-Uvarov method

Energy equation

Information Metrics

Subjects

Theoretical

C E Shannon, Proceedings of the IRE 37, 1 (1949) 21.
C Onate, I B Okon, J A Akinpelu, O O Ajani, O Adedewe and B B Deji-Jinadu, Journal of the Nigerian Society of Physical Sciences 6, 4 (2024) 2134.
E P Inyang, I B Okon, F O Faithpraise, E S William, P O Okoi and E A Ibanga, Journal of Theoretical and Applied Physics 17, 4 (2023) 172340.
E P Inyang, E Omugbe, M Abu-Shady and E S William, European Physical Journal Plus 138, 11 (2023) 969.
E Omugbe, O E Osafile, I B Okon, E S Eyube, E P Inyang and U S Okorie, European Physical Journal D 76, 4 (2022) 72.
I Białynicki-Birula and J Mycielski, Communications in Mathematical Physics 44 (1975) 132.
R A Fisher, Mathematical Proceedings of the Cambridge Philosophical Society 22, 5 (1925) 725.
C A Onate, I B Okon, E S Eyube, E Omugbe, K O Emeje, M C Onyeaju and J A Akinpelu, Quantum Reports 6, 2 (2024) 199.
T Yamano, European Physical Journal Plus 139 (2024) 595; A Boumali, A Hamla and Y Chargui, International Journal of Theoretical Physics 63 (2024) 200.
E Omugbe, E P Inyang, R Horchani, E S Eyube, C A Onate, T V Targema and S O Ogundeji, Modern Physics Letters A 39, 31–32 (2024) 2450151.
R Santana-Carrillo, J V Peto, G H Sun and S H Dong, Entropy 25, 7 (2023) 988.
I J Njoku, C P Onyenegecha, C J Okereke, P Nwaokafor and C C Abara, Physics Open 15 (2023) 100152.
I J Njoku, E Onyeocha, C P Onyenegecha, M Onuoha, E K Egeonu and P Nwaokafor, International Journal of Quantum Chemistry 123, 6 (2023) e27050.
A R P Moreira and F Ahmed, Indian Journal of Physics 98 (2024) 4834.
U P Obogo, O E Ubi, C O Edet and A N Ikot, Eclética Química 46, 4 (2021) 73.
E P Inyang, N Ali, R Endut, N Rusli, S A Aljunid, N R Ali and M M Asjad, East European Journal of Physics 1 (2024) 166.
E P Inyang, E O Obisung, J Amajama, D E Bassey, E S William and I B Okon, Eurasian Physical Technical Journal 19, 4 (2022) 87.
E E Ibekwe, J B Emah, E P Inyang et al., Iranian Journal of Science and Technology, Transactions of Science 46 (2022) 1748.
M Abu-Shady and E P Inyang, East European Journal of Physics 1 (2023) 68.
E S William, E P Inyang and E A Thompson, Revista Mexicana de Física 66, 6 (2020) 741.
E P Inyang, F O Faithpraise, J Amajama, E S William, E O Obisung and J E Ntibi, East European Journal of Physics 1 (2023) 62.
R L Greene and C Aldrich, Physical Review A 14, 6 (1976) 2363.
P O Amadi, A N Ikot, G J Rampho, U S Okorie, H Y Abdullah and B C Lütfüoğlu, Revista Mexicana de Física 66, 6 (2020) 748.
C Tezcan and R Sever, International Journal of Theoretical Physics 48 (2009) 337.