Non-relativistic quantum effects on the harmonic oscillator in a spacetime with a distortion of a vertical line into a vertical spiral

Abstract

Non-relativistic quantum effects of the topology of the spacetime with the distortion of a vertical line into a vertical spiral on the harmonic oscillator are investigated. By searching for analytical solutions to the Schrödinger equation in this topological defect background, it is shown that the topology of the spacetime modifies the spectrum of energy of the harmonic oscillator. Besides, it is shown that there exists an Aharonov-Bohm-type effect for bound states.

arXiv comment5 pages

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• Comment on: "Interaction of the magnetic quadrupole moment of a non-relativistic particle with an electric field in a rotating frame. Ann. Phys. 412 (2020) 168040''
• Point-like defect on Schrödinger particles under flux field with harmonic oscillator plus Mie-type potential: application to molecular potentials
• Confined Klein-Gordon oscillators in Minkowski spacetime and a pseudo-Minkowski spacetime with a space-like dislocation: PDM KG-oscillators, isospectrality and invariance
• Non-inertial effects on a non-relativistic quantum harmonic oscillator in the presence of a screw dislocation
• On the Klein-Gordon bosonic fields in the Bonnor-Melvin spacetime with a cosmological constant in rainbow gravity: Bonnor-Melvin Domain Walls
• Rotational and inverse square potential effects on harmonic oscillator confined by flux field in a space-time with screw dislocation
• On the Klein-Gordon scalar field oscillators in a spacetime with spiral-like dislocations in external magnetic fields
• Klein-Gordon particles in a nonuniform external magnetic field in Bonnor-Melvin rainbow gravity background
• Non-relativistic quantum particles interacting with pseudoharmonic-type potential under flux field in a topological defect geometry