Chinese Physics

Bound states of Klein–Gordon equation and Dirac equation for ring-shaped non-spherical oscillator scalar and vector potentials

Zhang Xue-Ao, Ke Chen, Duan Zheng-Lu

Published Dec 23, 2004• 51 citations

Abstract

Solving the Klein–Gordon equation and Dirac equation with ring-shaped non-spherical oscillator gives the exact bound state wavefunction and energy equation and the relations between non-relativistic Schrödinger equation, Klein–Gordon equation and Dirac equation with equal scalar and vector potentials.

DOI: 10.1088/1009-1963/14/1/009

Related papers

Bound states of Klein-Gordon equation for ring-shaped harmonic oscillator scalar and vector potentials

Qiang Wen-Chao

Solving Klein-Gordon equation with equal ring-shaped harmonic oscillator scalar and vector potentials, we obtain the exact normalized bound-state wavefunction and energy equation.

Chinese PhysicsJan 20, 200343 citations

Bound states of Klein-Gordon equation for ring-shaped non-spherical harmonic oscillator potentials

Fa‐Lin Lu, Chen Chang-Yuan, 盐城师范学院物理系，盐城 224002

By using the ordinary method of variable separation,the bound states of Klein-Gordon equation of the ring-shaped non-spherical harmonic oscillator with equal scalar and vector potentials are solved. The normalized angular wave function expressed in terms of the universal associatedLegendre polynomial and the normalized radial wave function expressed in terms of the confluent hyper-geometric function are presented. The exact energy spectrum equations are obtained.

Acta Physica SinicaJan 1, 20044 citations

Bound states of the Klein–Gordon equation for ring-shaped Kratzer-type potential

Qiang Wen Chao

The exact normalized bound state wavefunctions and energy equations of Klein–Gordon equation with equal scalar and vector ring-shaped Kratzer-type potential have been obtained.

Chinese PhysicsApr 29, 200443 citations

Bound states of the Klein-Gordon and Dirac equations for scalar and vector harmonic oscillator potentials

Qiang Wen-Chao

We give the exact bound states of the Klein-Gordon and Dirac equations with equal scalar and vector harmonic oscillator potentials.

Chinese PhysicsJul 31, 200250 citations

Relativistic solutions for double ring-shaped oscillator potential via asymptotic iteration method

F. Yasuk, Ayşen Durmuş

The three dimensional Klein–Gordon equation is solved with a double ring-shaped oscillator for the case of the equal vector and scalar potential, , by using the asymptotic iteration method which is very efficient, systematic and practical. The bound states energy eigenvalues and corresponding eigenfunctions are presented for a particle bound in a potential of a double ring-shaped oscillator.

Physica ScriptaDec 13, 200733 citations

The relativistic bound states for a new ring-shaped harmonic oscillator

Zhou Yan, Jian-You Guo

In this paper a new ring-shaped harmonic oscillator for spin 1/2 particles is studied, and the corresponding eigenfunctions and eigenenergies are obtained by solving the Dirac equation with equal mixture of vector and scalar potentials. Several particular cases such as the ring-shaped non-spherical harmonic oscillator, the ring-shaped harmonic oscillator, non-spherical harmonic oscillator, and spherical harmonic oscillator are also discussed.

Chinese Physics BFeb 1, 200826 citations