Spin-0 system of DKP equation in the background of a flat class of Gödel-type spacetime

Abstract

In this paper, we investigate the Duffin-Kemmer-Petiau (DKP) equation for spin-zero system of charge-free particles in the background of a flat class of Gödel-type space-times, and evaluate the individual energy levels and corresponding wave-functions, in details.keywords: Gödel-type space-times, relativistic wave equations, energy spectrum, wave functions.

Relativistic quantum dynamics of spin-0 system of the DKP oscillator in a Gödel-type space-time

“…That fact implies that there is no channel for spontaneous boson-antiboson creation. We have shown that for ω → 0, zero oscillator frequency, the energy eigenvalues reduces to the result obtained in [32]. A special case corresponds…”

“…We have defined the tetrad basis e µ (a) , e (a) µ for the space-time in [32] which must satisfy the following relation…”

“…where m is mass of the particle, and β j (j = 0, 1, 2, 3) are the DKP matrices satisfying the DKP algebra [32].…”

Investigation of a Spin-0 Massive Charged Particle Subject to a Homogeneous Magnetic Field with Potentials in a Topologically Trivial Flat Class of Gödel-Type Space-Time

“…. Consider the following stationary space-time [50] (see [5,12,13,44,51]) in the Cartesian coordinates ðx 0 = t, x 1 = x, x 2 = y, x 3 = zÞ which is given by…”

“…The relativistic quantum motion of spin-0 particles in a flat class of Gödel-type space-time was studied in [12]. The study of the spin-0 system of the DKP equation in a flat class of Gödel-type space-time was studied in [13]. In all the above systems, the influence of topological defects and vorticity parameter characterizing the space-time on the relativistic energy eigenvalues was analyzed.…”