The noninertial effect of rotating frames on the quantum dynamics of scalar bosons embedded in the background of a cosmic string is considered. In this work, scalar bosons are described by the Duffin–Kemmer–Petiau (DKP) formalism. Considering the DKP oscillator in this background the combined effects of a rotating frames and cosmic string on the equation of motion, energy spectrum, and DKP spinor are analyzed and discussed in detail. Additionally, the effect of rotating frames on the scalar bosons’ localization is studied.

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Noninertial effects on the quantum dynamics of scalar bosons

The quantum dynamics of scalar bosons embedded in the background of a cosmic string is considered. In this work, scalar bosons are described by the Duffin–Kemmer–Petiau (DKP) formalism. In particular, the effects of this topological defect in the equation of motion, energy spectrum, and DKP spinor are analyzed and discussed in detail. The exact solutions for the DKP oscillator in this background are presented in closed form.

https://link.springer.com/content/pdf/10.1140%2Fepjc%2Fs10052-015-3507-5.pdf

Quantum dynamics of scalar bosons in a cosmic string background

We examine the relativistic generalized DKP oscillator for a spin-zero field in a cosmic-string background space-time characterized by a stationary cylindrical symmetric metric. We solve the radial part of the wave function for linear, Coulomb (and shifted Coulomb) and Cornell functions. Thus we obtain the energy eigenvalues and eigenfunctions of the generalized DKP oscillator.

Non-inertial effects on a generalized DKP oscillator in a cosmic string space-time

In this paper, we study the covariant Duffin-Kemmer-Petiau (DKP) equation in the cosmic-string space-time and consider the interaction of a DKP field with the gravitational field produced by topological defects in order to examine the influence of topology on this system. We solve the spin-zero DKP oscillator in the presence of the Cornell interaction with a rotating coordinate system in an exact analytical manner for nodeless and one-node states by proposing a proper ansatz solution.

The spin-zero Duffin-Kemmer-Petiau equation in a cosmic-string space-time with the Cornell interaction

The DKP oscillator in the presence of a magnetic field is solved for spin-zero and spin-one particles in noncommutative phase space in (1+2) dimensions. We obtain the energy eigenvalues and the corresponding wave functions in an exact analytical manner. In addition, we discuss our solutions in various conditions and comment on the critical values of the magnetic field as well as the coinciding points of commutative and noncommutative cases. We include some illustrating figures and numerical data.

DKP oscillator in the presence of magnetic field in (1+2)-dimensions for spin-zero and spin-one particles in noncommutative phase space

The exact solutions of the Duffin–Kemmer–Petiau (DKP) oscillator for spin-0 particles have been studied in noncommutative phase space. The results show that due to the noncommutative effect, the energy spectrum of the DKP oscillator for spin-0 particles is no longer degenerate. In addition, we obtain the nonrelativistic limit of the energy spectrum.

Shuijie QinS. Qin

Papers

DKP oscillator in noncommutative phase space