scholarly journals Algebraic approach and coherent states for a relativistic quantum particle in cosmic string spacetime

2016 ◽  
Vol 372 ◽  
pp. 283-296 ◽  
Author(s):  
M. Salazar-Ramírez ◽  
D. Ojeda-Guillén ◽  
R.D. Mota
Keyword(s):  
Cosmic String ◽  
Coherent States ◽  
Quantum Particle ◽  
Relativistic Quantum ◽  
Algebraic Approach

ON A RESULT CONCERNING THE BEHAVIOR OF A RELATIVISTIC QUANTUM SYSTEM IN THE COSMIC STRING SPACETIME

2009 ◽  
Vol 24 (08n09) ◽  
pp. 1549-1556 ◽  
Author(s):  
V. B. BEZERRA ◽  
GEUSA DE A. MARQUES
Keyword(s):  
Magnetic Field ◽  
Energy Spectrum ◽  
Dirac Equation ◽  
Quantum System ◽  
Relativistic Electron ◽  
Coulomb Potential ◽  
Cosmic String ◽  
Relativistic Quantum

We consider the problem of a relativistic electron in the presence of a Coulomb potential and a magnetic field in the background spacetime corresponding to a cosmic string. We find the solution of the corresponding Dirac equation and determine the energy spectrum of the particle.

scholarly journals Self-Adjoint Extension Approach to Motion of Spin-1/2 Particle in the Presence of External Magnetic Fields in the Spinning Cosmic String Spacetime

Universe ◽  
2020 ◽  
Vol 6 (11) ◽  
pp. 203
Author(s):  
Márcio M. Cunha ◽  
Edilberto O. Silva
Keyword(s):  
Energy Spectrum ◽  
Dirac Equation ◽  
Magnetic Fields ◽  
Cosmic String ◽  
Relativistic Quantum ◽  
Wave Functions ◽  
The Self ◽  
Extension Method ◽  
Adjoint Extension ◽  
Quantum Motion

In this work, we study the relativistic quantum motion of an electron in the presence of external magnetic fields in the spinning cosmic string spacetime. The approach takes into account the terms that explicitly depend on the particle spin in the Dirac equation. The inclusion of the spin element in the solution of the problem reveals that the energy spectrum is modified. We determine the energies and wave functions using the self-adjoint extension method. The technique used is based on boundary conditions allowed by the system. We investigate the profiles of the energies found. We also investigate some particular cases for the energies and compare them with the results in the literature.

scholarly journals EIGENSTATES OF LINEAR COMBINATIONS OF TWO-BOSON CREATION AND ANNIHILATION OPERATORS: AN ALGEBRAIC APPROACH

1996 ◽  
Vol 11 (29) ◽  
pp. 2381-2396 ◽  
Author(s):  
P. SHANTA ◽  
S. CHATURVEDI ◽  
V. SRINIVASAN
Keyword(s):  
Closed Form ◽  
Coherent States ◽  
Algebraic Approach ◽  
Squeezed States ◽  
Linear Combinations ◽  
Creation And Annihilation Operators

Eigenstates of the linear combinations a2+βa†2 and ab+βa†b†of two-boson creation and annihilation operators are presented. The algebraic procedure given here is based on the work of Shanta et al. [Phys. Rev. Lett.72, 1447, (1994)] for constructing eigenstates of generalized annihilation operators. Expressions for the overlaps of these states with the number states, the coherent states and the squeezed states are given in a closed form.

scholarly journals SU(1, 1) andSU(2) Perelomov number coherent states: algebraic approach for general systems

2016 ◽  
Vol 23 (4) ◽  
pp. 607-619 ◽  
Author(s):  
D. Ojeda-Guillén ◽  
M. Salazar-Ramírez ◽  
R. D. Mota ◽  
V. D. Granados
Keyword(s):  
Coherent States ◽  
Algebraic Approach ◽  
General Systems
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