2019
DOI: 10.1088/1402-4896/ab293d
|View full text |Cite
|
Sign up to set email alerts
|

Analytical solution of the Schrödinger equation for isotropic velocity-dependent potentials

Abstract: The energy spectrum of the velocity-dependent potentials with respect to the harmonic oscillator potential and Coulomb potential are obtained for any n and l quantum states using the Nikiforov-Uvarov method for different cases of velocity-dependent terms. The effects of isotropic velocity-dependent potentials on the bound state energy eigenvalues are examined in analytic form when the form factor is considered as ( )2 As an application to a physical system, we evaluated the vibrational partition function and o… Show more

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
2
1

Citation Types

0
3
0

Year Published

2020
2020
2024
2024

Publication Types

Select...
5

Relationship

0
5

Authors

Journals

citations
Cited by 5 publications
(3 citation statements)
references
References 29 publications
0
3
0
Order By: Relevance
“…The vibrational and rotational energy levels of different potential energy models [11][12][13][14] have been established to play a key role in determining partition function of any system [15].…”
Section: Introductionmentioning
confidence: 99%
“…The vibrational and rotational energy levels of different potential energy models [11][12][13][14] have been established to play a key role in determining partition function of any system [15].…”
Section: Introductionmentioning
confidence: 99%
“…The NUFA method is regarded as a combination of Nikiforov Uvarov (NU) [54], the parametric NU [55] and the functional analysis methods. This method is basically used to solve a second-order differential equation of the form [56,57]…”
Section: The Nufa Methodsmentioning
confidence: 99%
“…However, no study has taken into account the effect of velocity-dependent potentials. This paper focuses on resolving the solution for the velocity-dependent versions of the Kratzer, Mie, and Hulthen potentials, considering a constant value for the form factor r 0 ( ) e gr = [40]. The present work is organized as follows: section 2 provides a concise introduction to the NU method.…”
Section: Introductionmentioning
confidence: 99%