Non-commutativity and non-inertial effects on a scalar field in a cosmic string space-time: II. 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.

Approximate Analytical Solutions of the Schrödinger Equation with Hulthén Potential in the Global Monopole Spacetime

“…Moreover, by making the changes ξ = δ and M = µ in Equation ( 78), we find exactly the expression (24) of Reference [84], which also coincides with Equation (32) of Reference [88].…”

“…The spacetime of cosmic string exerts an impressive influence on the behavior of a physical system, in which effects such as gravitational leasing, self-force, and the gravitational Aharonov-Bohm effect take place. In the literature, different models have been solved in the cosmic string spacetime [17][18][19][20][21][22][23][24][25][26][27][28][29][30][31][32][33] and disclinations [34][35][36][37][38][39][40][41], which demonstrates the wide range of possibilities of investigation involving these issues.…”

The Effects of Noncommutativity on the Energy Spectra for Mass-Dependent Klein-Gordon and Shrödinger Equations with Vector Quark-Antiquark Interaction and Harmonic Oscillator Potential: Application to HLM Systems

“…In the physics literature, this is known as Bopp's shift, and this quantization procedure is called Bopp quantization. It is known to the specialists that Bopp's shift method [47][48][49][50] has been applied effectively and has succeeded in simplifying the three basic equations deformed Schrödinger equation DSE [51][52][53][54][55][56][57][58][59][60][61][62], the DKGE [63][64][65][66][67][68][69][70][71][72][73][74], the deformed Dirac equation DDE [75][76][77][78][79][80] and the deformed Duffin-Kemmer equation [81][82][83][84] with the notion of star product to the SE, the KGE, the DE and the Duffin-Kemmer equation with the notion of ordinary product, respectively. The results of the application of this method were very useful and yielded promising results in many physical and chemical fields.…”

Non-commutativity and non-inertial effects on a scalar field in a cosmic string space-time: I. Klein–Gordon oscillator

“…where we carefully apply the appropriate sign for the complex conjugate field. An alternative possibility for the coupling prescription would be to keep the same sign for both pφ and pφ * ; the motivation for doing that and its consequences is explored in part 2 of this work [48].…”

“…This fact will naturally lead to different physical consequences in each case. This paper explores the physical significance of KG oscillator in the presence of noncommutativity, rotating frame and a cosmic string ambient space-time; the companion paper [48] scrutinizes DKP oscillator for the spin-zero field in an analogous context.…”