scholarly journals The energy–momentum distributions and relativistic quantum effects on scalar and spin-half particles in a Gödel-type space–time

2018 ◽  
Vol 78 (7) ◽  
Author(s):  
Faizuddin Ahmed
Keyword(s):  
Relativistic Quantum ◽  
Quantum Effects ◽  
Space Time ◽  
Type Space ◽  
Momentum Distributions

scholarly journals 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

2020 ◽  
Vol 2020 ◽  
pp. 1-10
Author(s):  
Faizuddin Ahmed
Keyword(s):  
Magnetic Field ◽  
Charged Particle ◽  
Quantum Dynamics ◽  
Relativistic Quantum ◽  
Homogeneous Magnetic Field ◽  
Space Time ◽  
Type Space ◽  
Vector Potentials ◽  
Klein Gordon ◽  
Coulomb Type

In this paper, we investigate the relativistic quantum dynamics of spin-0 massive charged particle subject to a homogeneous magnetic field in the Gödel-type space-time with potentials. We solve the Klein-Gordon equation subject to a homogeneous magnetic field in a topologically trivial flat class of Gödel-type space-time in the presence of Cornell-type scalar and Coulomb-type vector potentials and analyze the effects on the energy eigenvalues and eigenfunctions.

scholarly journals The generalized Klein–Gordon oscillator with position-dependent mass in a particular Gödel-type space–time

2021 ◽  
Vol 36 (03) ◽  
pp. 2150023
Author(s):  
Yi Yang ◽  
Zheng-Wen Long ◽  
Qi-Kang Ran ◽  
Hao Chen ◽  
Zi-Long Zhao ◽  
...  
Keyword(s):  
Quantum Dynamics ◽  
Relativistic Quantum ◽  
Space Time ◽  
Linear Potential ◽  
Type Space ◽  
Cornell Potential ◽  
Klein Gordon ◽  
Dependent Mass ◽  
Position Dependent Mass

The relativistic quantum dynamics of the generalized Klein–Gordon (KG) oscillator having position-dependent mass in the Gödel-type space–time is investigated. We have presented the generalized KG oscillator in this space–time, and discussed the effect of Cornell potential and linear potential for our considered system. The modification from the parameters of position-dependent mass and characterizing the space–time for the energy spectrums are presented.

scholarly journals PROBABILITY IN RELATIVISTIC QUANTUM MECHANICS AND FOLIATION OF SPACE–TIME

2007 ◽  
Vol 22 (32) ◽  
pp. 6243-6251 ◽  
Author(s):  
HRVOJE NIKOLIĆ
Keyword(s):  
Quantum Mechanics ◽  
Wave Equations ◽  
Integral Curve ◽  
Relativistic Quantum ◽  
Space Time ◽  
Relativistic Quantum Mechanics ◽  
Relativistic Wave ◽  
Probability Densities ◽  
The Many ◽  
Conserved Currents

The conserved probability densities (attributed to the conserved currents derived from relativistic wave equations) should be nonnegative and the integral of them over an entire hypersurface should be equal to one. To satisfy these requirements in a covariant manner, the foliation of space–time must be such that each integral curve of the current crosses each hypersurface of the foliation once and only once. In some cases, it is necessary to use hypersurfaces that are not spacelike everywhere. The generalization to the many-particle case is also possible.

Relativistic Quantum Many-Body Theory in Riemannian Space-Time

1973 ◽  
Vol 7 (2) ◽  
pp. 296-325 ◽  
Author(s):  
Richard L. Bowers ◽  
Robert L. Zimmerman
Keyword(s):  
Riemannian Space ◽  
Relativistic Quantum ◽  
Space Time ◽  
Many Body ◽  
Many Body Theory ◽  
Body Theory
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