EXACT SOLUTION TO THE SCALAR DKP EQUATION IN (1+3)-DIMENSIONAL ROBERTSON–WALKER SPACE–TIME

2010 ◽  
Vol 25 (13) ◽  
pp. 2747-2760
Author(s):  
M. FALEK ◽  
M. MERAD
Keyword(s):  
Exact Solution ◽  
Spherical Harmonics ◽  
Space Time ◽  
Vector Spherical Harmonics ◽  
Curved Space ◽  
Dkp Equation ◽  
3 Dimensional ◽  
Bogoliubov Transformations

In the context of curved space–time, the scalar DKP equation in (1+3)-dimensional Robertson–Walker space–time is solved. The exact solution is then determined by the technique of vector spherical harmonics. As an application, the rate of the created particles in the presence of gravity is calculated via the method of Bogoliubov transformations.

Noncommutative DKP field and pair creation in curved space–time

2019 ◽  
Vol 34 (16) ◽  
pp. 1950082
Author(s):  
Mohamed Achour ◽  
Lamine Khodja ◽  
Slimane Zaim
Keyword(s):  
Quantum Mechanics ◽  
Particle Creation ◽  
Space Time ◽  
Pair Creation ◽  
Curved Space ◽  
Dkp Equation ◽  
First Order ◽  
Bogoliubov Transformations

This study is about the application of the noncommutativity on the DKP equation up to first-order in [Formula: see text] for the process of pair creation of spin-1 particles from vacuum in [Formula: see text] curved space–time. The density of particles created in the vacuum can be calculated with the help of the Bogoliubov transformations. The noncommutative density of created particles is found to decrease as [Formula: see text], so that the rate of particle creation increases whenever a noncommutativity parameter is small and this corresponds to the spirit of quantum mechanics.

Duffin-Kemmer-Petiau equation in Robertson-Walker space-time

Open Physics ◽  
2010 ◽  
Vol 8 (3) ◽  
Author(s):  
Mokhtar Falek ◽  
Mahmoud Merad
Keyword(s):  
Exact Solution ◽  
Space Time ◽  
Dkp Equation ◽  
Bogoliubov Transformations

AbstractThe (1+1)-dimensional Duffin-Kemmer-Petiau (DKP) equation (for spin 0 and 1) in the Robertson-Walker Space-time is solved. The exact solution is then determined for both cases. As an application, the rate of the created particles in the presence of gravity is calculated via the Bogoliubov transformations technique.

scholarly journals Quantum entanglement of fermions–antifermions pair creation modes in noncommutative Bianchi I space–time

2015 ◽  
Vol 30 (24) ◽  
pp. 1550141 ◽  
Author(s):  
M. F. Ghiti ◽  
N. Mebarki ◽  
H. Aissaoui
Keyword(s):  
Quantum Entanglement ◽  
Entanglement Entropy ◽  
Space Time ◽  
Pair Creation ◽  
Theory Approach ◽  
Quantum Field ◽  
Von Neumann ◽  
Curved Space ◽  
Bianchi I ◽  
Bogoliubov Transformations

The noncommutative Bianchi I curved space–time vierbeins and spin connections are derived. Moreover, the corresponding noncommutative Dirac equation as well as its solutions are presented. As an application within the quantum field theory approach using Bogoliubov transformations, the von Neumann fermion–antifermion pair creation quantum entanglement entropy is studied. It is shown that its behavior is strongly dependent on the value of the noncommutativity [Formula: see text] parameter, [Formula: see text]-modes frequencies and the structure of the curved space–time. Various discussions of the obtained features are presented.

Relativistic quantum motion of the scalar bosons in the background space–time around a chiral cosmic string

2019 ◽  
Vol 34 (10) ◽  
pp. 1950056 ◽  
Author(s):  
M. A. Hun ◽  
N. Candemir
Keyword(s):  
Current Density ◽  
Cosmic String ◽  
Relativistic Quantum ◽  
Energy Levels ◽  
Space Time ◽  
Curved Space ◽  
Dkp Equation ◽  
Background Space ◽  
Uvarov Method ◽  
Quantum Motion

In this paper, a relativistic behavior of spin-zero bosons is studied in a chiral cosmic string space–time. The Duffin–Kemmer–Petiau (DKP) equation and DKP oscillator are written in this curved space–time and are solved by using an appropriate ansatz and the Nikiforov–Uvarov method, respectively. The influences of the topology of this space–time on the DKP spinor and energy levels and current density are also discussed in detail.

Path integrals and the solution of the Schwinger model in curved space-time

1986 ◽  
Vol 33 (8) ◽  
pp. 2262-2266 ◽  
Author(s):  
J. Barcelos-Neto ◽  
Ashok Das
Keyword(s):  
Path Integrals ◽  
Space Time ◽  
Curved Space ◽  
Schwinger Model

scholarly journals Janis–Newman–Winicour and Wyman Solutions are the Same

1997 ◽  
Vol 12 (27) ◽  
pp. 4831-4835 ◽  
Author(s):  
K. S. Virbhadra
Keyword(s):  
Exact Solution ◽  
Scalar Field ◽  
Total Energy ◽  
Space Time ◽  
Massless Scalar ◽  
Spherically Symmetric ◽  
Scalar Equations

We show that the well-known most general static and spherically symmetric exact solution to the Einstein-massless scalar equations given by Wyman is the same as one found by Janis, Newman and Winicour several years ago. We obtain the energy associated with this space–time and find that the total energy for the case of the purely scalar field is zero.

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