Quantum effects on spin-0 massive charged particles with Coulomb-type potentials in (1+2)-dimensions Gürses space-time. (English) Zbl 1430.83062
Summary: In this article, we investigate the relativistic quantum motion of spin-0 massive charged particles in (1+2)-dimensions Gürses space-time [M. Gürses, Classical Quantum Gravity 11, No. 10, 2585–2587 (1994; Zbl 0808.53071)] with interactions. We solve the Klein-Gordon equation for massive charged particle with a scalar and the 0-component of four-vector potentials of Coulomb-type, and evaluate the energy eigenvalues and corresponding wave-functions, in details.
MSC:
| 83C80 | Analogues of general relativity in lower dimensions |
| 83C45 | Quantization of the gravitational field |
| 35L05 | Wave equation |
| 81Q05 | Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics |
| 83C10 | Equations of motion in general relativity and gravitational theory |
Keywords:
relativistic wave equations; solutions of wave equations; bound states; Coulomb-type potential; special function; biconfluent Heun’s equation; Nikiforv-Uvarov method; energy spectrum; wave-functions; Klein-Gordon equationCitations:
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