The Dirac oscillator and local automorphism invariance

1993 ◽  
Vol 34 (10) ◽  
pp. 4428-4435 ◽  
Author(s):  
James P. Crawford
Keyword(s):  
Dirac Oscillator ◽  
Local Automorphism

Quasi coherent state of the Dirac oscillator

2021 ◽  
Vol 68 (1) ◽  
pp. 56-62
Author(s):  
P. Ghosh ◽  
P. Roy
Keyword(s):  
Coherent State ◽  
Dirac Oscillator

scholarly journals Algebraic Approach to Exact Solution of the (2 + 1)-Dimensional Dirac Oscillator in the Noncommutative Phase Space

2017 ◽  
Vol 2017 ◽  
pp. 1-6
Author(s):  
H. Panahi ◽  
A. Savadi
Keyword(s):  
Exact Solution ◽  
Phase Space ◽  
Algebraic Approach ◽  
Wave Functions ◽  
Dirac Oscillator ◽  
Noncommutative Phase Space ◽  
Energy Eigenvalues ◽  
Good Agreement

We study the (2 + 1)-dimensional Dirac oscillator in the noncommutative phase space and the energy eigenvalues and the corresponding wave functions of the system are obtained through the sl(2) algebraization. It is shown that the results are in good agreement with those obtained previously via a different method.

Completeness of the Dirac oscillator eigenfunctions

2001 ◽  
Vol 34 (23) ◽  
pp. 4991-4997 ◽  
Author(s):  
Radoslaw Szmytkowski ◽  
Marek Gruchowski
Keyword(s):  
Dirac Oscillator

Dirac oscillator interacting with a topological defect

2011 ◽  
Vol 84 (3) ◽  
Author(s):  
J. Carvalho ◽  
C. Furtado ◽  
F. Moraes
Keyword(s):  
Topological Defect ◽  
Dirac Oscillator

scholarly journals Gate-tunable graphene quantum dot and Dirac oscillator

2016 ◽  
Vol 380 (5-6) ◽  
pp. 773-778 ◽  
Author(s):  
Abdelhadi Belouad ◽  
Ahmed Jellal ◽  
Youness Zahidi
Keyword(s):  
Quantum Dot ◽  
Dirac Oscillator ◽  
Graphene Quantum Dot

scholarly journals SUPERSYMMETRY AND THE DIRAC OSCILLATOR

1991 ◽  
Vol 06 (09) ◽  
pp. 1567-1589 ◽  
Author(s):  
C. QUESNE
Keyword(s):  
Ground State ◽  
Symmetry Algebra ◽  
Negative Energy ◽  
Dirac Oscillator ◽  
Relativistic Limit ◽  
First Order ◽  
Supersymmetric Partner ◽  
Negative Energy States ◽  
Pattern Characteristic ◽  
Supersymmetric Structure

We demonstrate the realization of supersymmetric quantum mechanics in the first-order Dirac oscillator equation by associating with it another Dirac equation, which may be considered as its supersymmetric partner. We show that both the particle and the antiparticle spectra, resulting from these two equations after filling the negative-energy states and redefining the physical ground state, indeed present the degeneracy pattern characteristic of unbroken supersymmetry. In addition, we analyze in detail two algebraic structures, each partially explaining the degeneracies present in the Dirac oscillator supersymmetric spectrum in the non-relativistic limit. One of them is the spectrum-generating superalgebra osp(2/2, ℝ), first proposed by Balantekin. We prove that it is closely connected with the supersymmetric structure of the first-order Dirac oscillator equation as its odd generators are the two sets of supercharges respectively associated with the equation and its supersymmetric partner. The other algebraic structure is an so(4)⊕so(3, 1) algebra, which is an extension of a similar algebra first considered by Moshinsky and Quesne. We prove that it is the symmetry algebra of the Dirac oscillator supersymmetric Hamiltonian. Some possible relations between the spectrum-generating superalgebra, the symmetry algebra, and their respective subalgebras are also suggested.

scholarly journals Mapping of the 2 + 1 q-deformed Dirac oscillator onto the q-deformed Jaynes-Cummings model

2017 ◽  
Vol 120 (4) ◽  
pp. 44002 ◽  
Author(s):  
Parisa Majari ◽  
Alfredo Luis ◽  
Mohammad Reza Setare
Keyword(s):  
Dirac Oscillator

scholarly journals Algebraic solution and coherent states for the Dirac oscillator interacting with a topological defect

2019 ◽  
Vol 134 (1) ◽  
Author(s):  
M. Salazar-Ramírez ◽  
D. Ojeda-Guillén ◽  
A. Morales-González ◽  
V. H. García-Ortega
Keyword(s):  
Coherent States ◽  
Topological Defect ◽  
Algebraic Solution ◽  
Dirac Oscillator
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