Three-dimensional wormhole with cosmic string effects on eigenvalue solution of non-relativistic quantum particles.

In this paper, we explore the quantum system of non-relativistic particles in a unique scenario: a circularly symmetric and static three-dimensional wormhole space-time accompanied by cosmic strings. We focus on a specific case where the redshift function [Formula: see text] to be zero and defining the shape function as [Formula: see text]. After establishing this background space-time, we investigate the behavior of a harmonic oscillator within the same wormhole context.

Relativistic motions of spin-zero quantum oscillator field in a global monopole space-time with external potential and AB-effect.

In this paper, we analyze a spin-zero relativistic quantum oscillator in the presence of the Aharonov-Bohm magnetic flux in a space-time background produced by a point-like global monopole (PGM). Afterwards, we introduce a static Coulomb-type scalar potential and subsequently with the same type of vector potential in the quantum system. We solve the generalized Klein-Gordon oscillator analytically for different functions (e.

Linear confinement of generalized KG-oscillator with a uniform magnetic field in Kaluza-Klein theory and Aharonov-Bohm effect.

In this paper, we solve generalized KG-oscillator interacts with a uniform magnetic field in five-dimensional space-time background produced by topological defects under a linear confining potential using the Kaluza-Klein theory. We solve this equation and analyze an analogue of the Aharonov-Bohm effect for bound states. We observe that the energy level for each radial mode depend on the global parameters characterizing the space-time, the confining potential, and the magnetic field which shows a quantum effect.