Non-commutativity and non-inertial effects on a scalar field in a cosmic string space-time. Part 2: Spin-zero Duffin-Kemmer-Petiau-like oscillator

Abstract

We study the non-inertial effects of a rotating frame on a spin-zero, Duffin-Kemmer-Petiau (DKP)-like oscillator in a cosmic string space-time with non-commutative geometry in the momentum space. The spin-zero DKP-like oscillator is obtained from the Klein-Gordon Lagrangian with a non-standard prescription for the oscillator coupling. We find that the solutions of the time-independent radial equation with the non-zero non-commutativity parameter parallel to the string are related to the confluent hypergeometric function. We find the quantized energy eigenvalues of the non-commutative oscillator.

arXiv comment20 pages, 4 figures, 2 tables

References in corpus (22)

• String Theory and Noncommutative Geometry
• Noncommutative Geometry and Matrix Theory: Compactification on Tori
• Ground-State Properties of Magnetically Trapped Bose-Condensed Rubidium Gas
• D-branes and the Noncommutative Torus
• Symmetry Protected Topological phases of Quantum Matter
• Magnetic fields, branes and noncommutative geometry
• Integer quantum Hall effect for bosons: A physical realization
• Remarks on Duffin-Kemmer-Petiau theory and gauge invariance
• Hall Effect in Noncommutative Coordinates
• Rotating effects on the Dirac oscillator in the cosmic string spacetime
• The Dirac oscillator in a spinning cosmic string spacetime
• Thermodynamic properties of neutral particle in presence of Topological defects in Magnetic Cosmic String Background
• Noninertial effects on the quantum dynamics of scalar bosons
• Magnetic fields in noncommutative quantum mechanics
• Bosonic integer quantum Hall effect in optical flux lattices
• The DKP oscillator with a linear interaction in the cosmic string space-time
• Noncommutative Quantum Hall Effect and Aharonov-Bohm Effect
• Bose-Einstein Condensation and Free DKP field
• Quantum Hall Effect In Bilayer Systems And The Noncommutative Plane: A Toy Model Approach
• The generalized Klein-Gordon oscillator with position-dependent mass in a particular Gödel-type space-time
• DKP oscillator in the presence of a spinning cosmic string
• Non-commutativity and non-inertial effects on the Dirac oscillator in a cosmic string space-time

Cited by in corpus (5)

• Horizon-scale tests of gravity theories and fundamental physics from the Event Horizon Telescope image of Sagittarius A${}^{\ast }$
• Non-commutativity and non-inertial effects on a scalar field in a cosmic string space-time. Part 1: Klein-Gordon oscillator
• Charged scalar bosons in a Bonnor-Melvin-$\Lambda$ universe at conical approximation
• Comment on "Neutrino interaction with matter in a noninertial frame"
• Scalar and vector bosons in a Bonnor-Melvin-$\Lambda$ spacetime: an exact Duffin-Kemmer-Petiau analysis