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2004•Chinese PhysicsOpen access

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

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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.

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What this paper is about

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.

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OpenAlex reports 51 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available 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.

Key concepts: Klein–Gordon equation, Dirac equation, Two-body Dirac equations, Physics, Wave function, Scalar (mathematics), Mathematical physics, Dirac algebra

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