Document Zbl 1456.81259

Spin-0 scalar particle interacts with scalar potential in the presence of magnetic field and quantum flux under the effects of KKT in 5D cosmic string spacetime. (English) Zbl 1456.81259

Mod. Phys. Lett. A 36, No. 2, Article ID 2150004, 18 p. (2021).

Summary: In this paper, we study a relativistic quantum dynamics of spin-0 scalar particle interacts with scalar potential in the presence of a uniform magnetic field and quantum flux in background of Kaluza-Klein theory (KKT). We solve Klein-Gordon equation in the considered framework and analyze the relativistic analogue of the Aharonov-Bohm effect for bound states. We show that the energy levels depend on the global parameters characterizing the spacetime, scalar potential and the magnetic field which break their degeneracy.

Cited in 2 Documents

MSC:

81R20	Covariant wave equations in quantum theory, relativistic quantum mechanics
83E15	Kaluza-Klein and other higher-dimensional theories
81Q05	Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics
81Q35	Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices

Keywords:

cosmic string spacetime; relativistic wave equation; electromagnetic interactions; energy spectrum; wave functions; Aharonov-Bohm effect; special functions; wave functions; Aharonov-Bohm effect; special functions

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