Quantum information of the modified Mobius squared plus Eckart potential

The quantum information measures and complexity of the modified Mobius squared plus Eckart (MMSE) potential are presented in this paper. First, the energy eigenvalues and wave function of the system are obtained from the approximate solutions of the Schrödinger equation via the parametric Nikiforov‐...

Full description

Saved in:
Bibliographic Details
Published in:International journal of quantum chemistry 2023-03, Vol.123 (6), p.n/a
Main Authors: Njoku, Ifeanyi J., Onyeocha, Emeka, Onyenegecha, Chibueze P., Onuoha, Modestus, Egeonu, Eugene K., Nwaokafor, Placid
Format: Article
Language:English
Subjects:
Chemistry
Complexity
Eigenvalues
Entropy (Information theory)
Fisher information
Inequality
Lower bounds
Momentum
Physical chemistry
quantum information
Quantum phenomena
Quantum physics
Schrodinger equation
Shannon entropy
squeezed state
Squeezed states (quantum theory)
Uncertainty principles
Wave functions
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:The quantum information measures and complexity of the modified Mobius squared plus Eckart (MMSE) potential are presented in this paper. First, the energy eigenvalues and wave function of the system are obtained from the approximate solutions of the Schrödinger equation via the parametric Nikiforov‐Uvarov (pNU) method. Using the wave function, the Shannon entropy, Onicescu information energy and Fisher information of the system are examined for two low‐lying states along with the modified Lopez‐Ruiz‐Mancini‐Calbet (LMC) complexity and Heisenberg uncertainty relation. The results of the work point to the fact that the radial (momentum) probability density peak shifts to lower (higher) values with increase in the screening parameter. Furthermore, the Bialynicki‐Birula and Mycielski (BBM) inequality, the lower bound of the modified LMC complexity, the Fisher information sum inequality and the Stam‐Cramer‐Rao inequality are verified for the system. Also, the Heisenberg uncertainty principle is verified for the MMSE potential and the existence of squeezed states is observed for both position and momentum states. The radial probability density peak of the system for the ground state shifts to lower values as the screening parameter increases, while the momentum space probability density function has a Gaussian shape and its peak shifts to higher values as the screening parameter increases.
ISSN:0020-7608
1097-461X
DOI:10.1002/qua.27050