Klein–Gordon oscillator under a uniform magnetic field in cosmic string space–time

In this article, we study the influence of the gravitational fields produced by a topology such as cosmic string space–time on a Klein–Gordon oscillator in the presence of a uniform magnetic field. We present the eigensolutions of our problem in question and analyze the influence of cosmic string space–time on the eigenvalues.

[1]  H. Hassanabadi,et al.  Non-central potentials in the cosmic string space-time , 2016 .

[2]  K. Bakke Noninertial effects on the Dirac oscillator in a topological defect spacetime , 2012, 1209.0369.

[3]  E. R. B. Mello,et al.  Relativistic quantum dynamics of a charged particle in cosmic string spacetime in the presence of magnetic field and scalar potential , 2011, 1108.3786.

[4]  C. Furtado,et al.  Dirac oscillator interacting with a topological defect , 2011 .

[5]  E. Sadurní The Dirac‐Moshinsky oscillator: theory and applications , 2011 .

[6]  B. Mirza,et al.  Relativistic Oscillators in a Noncommutative Space and in a Magnetic Field , 2011 .

[7]  C. Quesne,et al.  Dirac oscillator with nonzero minimal uncertainty in position , 2004, math-ph/0412052.

[8]  M. Mohadesi,et al.  The Klein-Gordon and the Dirac Oscillators in a Noncommutative Space , 2004, hep-th/0412122.

[9]  K. Krori,et al.  Exact scalar and spinor solutions in the field of a stationary cosmic string , 1994 .

[10]  A. L. Salas-Brito,et al.  Conformal invariance in a Dirac oscillator , 1992 .

[11]  Frank,et al.  Soluble extensions of the Dirac oscillator with exact and broken supersymmetry. , 1991, Physical review. D, Particles and fields.

[12]  Bentez,et al.  Solution and hidden supersymmetry of a Dirac oscillator. , 1990, Physical review letters.

[13]  M. Moreno,et al.  Covariance, CPT and the Foldy-Wouthuysen transformation for the Dirac oscillator , 1989 .

[14]  M. Moshinsky,et al.  The Dirac oscillator , 1989 .

[15]  K. Krori,et al.  Exact scalar and spinor solutions in some rotating universes , 1988 .

[16]  R. Wagoner,et al.  Gravitation and Cosmology: Principles and Applications of the General Theory of Relativity , 1973 .

[17]  D. Itô,et al.  An example of dynamical systems with linear trajectory , 1967 .