Approximate solutions of Schrodinger equation and expectation values of Inversely Quadratic Hellmann-Kratzer (IQHK) potential

The study presents approximate solutions of Schrodinger equation with the Inversely quadratic Hellmann-Kratzer (IQHK) potential. The energy eigenvalues and corresponding wavefunctions are obtained analytically using the Nikiforov-Uvarov (NU) method. The expectation values of inverse position r −1 ,...

Full description

Saved in:
Bibliographic Details
Published in:European physical journal plus 2022-01, Vol.137 (1), p.147, Article 147
Main Authors: Onyenegecha, C. P., Okereke, C. J., Njoku, I. J., Madu, C. A., Ndubuisi, R. U., Nwajeri, U. K.
Format: Article
Language:English
Subjects:
Applied and Technical Physics
Atomic
Complex Systems
Condensed Matter Physics
Eigenvalues
Energy
Equilibrium
Kinetic energy
Mathematical and Computational Physics
Molecular
Nonlinear equations
Optical and Plasma Physics
Physics
Physics and Astronomy
Potential energy
Quantum dots
Regular Article
Schrodinger equation
Theoretical
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 study presents approximate solutions of Schrodinger equation with the Inversely quadratic Hellmann-Kratzer (IQHK) potential. The energy eigenvalues and corresponding wavefunctions are obtained analytically using the Nikiforov-Uvarov (NU) method. The expectation values of inverse position r −1 , square of inverse position, r −2 , kinetic energy, T, potential energy, V, and square of momentum, p 2 , and their respective numerical values are evaluated via the Hellmann–Feynman theorem. Special cases of IQHK potential are also reported.
ISSN:2190-5444
2190-5444
DOI:10.1140/epjp/s13360-021-02315-w