Relativistic bound states of spinless particle by the Cornell potential model in external fields
type: Item
instance of: scholarly article
title: Relativistic bound states of spinless particle by the Cornell potential model in external fields
zbMATH Open document ID: 1328.81106
DOI: 10.1155/2013/491648
author: Sameer M. Ikhdair
published in: Advances in High Energy Physics
publication date: 2016-01-15T00:00:00Z
review text: Summary: The two-dimensional (2D) relativistic bound states of a spinless particle placed in scalar \(S(r)\) and vector \(V(r)\) Cornell potentials (with \(S(r)>V(r)\)) are obtained under the influence of external magnetic and Aharonov-Bohm (AB) flux fields using the wave function ansatz method. The relativistic energy eigenvalues and wave functions are found for any arbitrary state with principal \(n\) and magnetic \(m\) quantum numbers. Further, we obtain the eigensolutions in any dimensional space \(D\) without external fields. We also find the relativistic and nonrelativistic bound states for Coulomb, harmonic oscillator, and Kratzer potentials.
Mathematics Subject Classification ID: 81Q05
Mathematics Subject Classification ID: 35Q40
zbMATH DE Number: 6530678
Wikidata QID: Q58918273
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/491648
OpenAlex ID: W2153956699
cites work: Klein-Gordon particles in mixed vector-scalar inversely linear potentials
cites work: Any \(l\)-state solutions of the Klein-Gordon equation with the generalized Hulthén potential
cites work: Approximate solutions of the Dirac equation for the Rosen–Morse potential including the spin-orbit centrifugal term
cites work: An approximate κ state solutions of the Dirac equation for the generalized Morse potential under spin and pseudospin symmetry
cites work: Factorization solution of a family of quantum nonlinear oscillators
cites work: Asymptotic iteration method for eigenvalue problems
cites work: Energy spectrum for a modified Rosen-Morse potential solved by proper quantization rule and its thermodynamic properties
cites work: ROTATIONAL AND VIBRATIONAL DIATOMIC MOLECULE IN THE KLEIN–GORDON EQUATION WITH HYPERBOLIC SCALAR AND VECTOR POTENTIALS
cites work: A PERTURBATIVE TREATMENT FOR THE ENERGY LEVELS OF NEUTRAL ATOMS
cites work: Analytic solution of the Schrödinger equation for the Coulomb-plus-linear potential. I. The wave functions
cites work: Solution of Dirac Equation with Killingbeck Potential by Using Wave Function Ansatz Method under Spin Symmetry Limit
cites work: On the Solutions of the Schrödinger Equation with some Anharmonic Potentials: Wave Function Ansatz
cites work: The generalized continued fractions and potentials of the Lennard-Jones type
cites work: Effective-mass Klein–Gordon equation for non-PT/non-Hermitian generalized Morse potential
cites work: Exact solutions of the two-dimensional Schrödinger equation with certain central potentials
cites work: A new approach to the relativistic Schrödinger equation with central potential: ansatz method
cites work: Dirac and Klein-Gordon equations with equal scalar and vector potentials
cites work: A quantum pseudodot system with a two-dimensional pseudoharmonic potential
cites work: Approximate analytical solutions of the Klein–Gordon equation with the Pöschl–Teller potential including the centrifugal term
cites work: Quantization rule solution to the Hulthén potential in arbitrary dimension with a new approximate scheme for the centrifugal term
cites work: Exact quantization rule to the Kratzer-type potentials: An application to the diatomic molecules
cites work: Semiclassical methods to the Klein–Gordon equation with the unequal scalar and vector potentials
cites work: Anyl-state improved quasi-exact analytical solutions of the spatially dependent mass Klein–Gordon equation for the scalar and vector Hulthén potentials
description: scientific article; zbMATH DE number 6530678