Spectroscopy of the Dirac oscillator perturbed by a surface delta potential

Abstract

We study theoretically the level shift of the Dirac oscillator perturbed by any sharply peaked potential approaching a surface delta potential. A Green function method is used to obtain closed expressions for all partial waves and parities.

On the κ-Dirac oscillator revisited

“…In the representation (12), ψ may be written as a bispinor ψ = (ψ 1 , ψ 2 ) T in terms of two-component spinors ψ 1 and ψ 2 . Thus, Eq.…”

“…Since the time of its proposal it has been the object of considerable attention in various branches of theoretical physics. For instance, it appears in mathematical physics [2][3][4][5][6][7][8][9][10][11], nuclear physics [12][13][14], quantum optics [15][16][17][18], supersymmetry [19][20][21], and noncommutativity [22][23][24][25]. Recently, the first experimental realization of the Dirac oscillator was realized by J.…”

Quantum phase transitions in the noncommutative Dirac oscillator

“…The Dirac oscillator on the other hand is one of the very few relativistic systems which is exactly solvable [15][16][17][18][19][20][21][22]. In mathematical physics the Dirac oscillator has become a paradigm for the realization of covariant quantum models and it has found applications both in nuclear [23][24][25] and subnuclear [26,27] physics as well as in quantum optics [28][29][30]. Very recently a one dimensional version of the Dirac oscillator has been realized experimentally [31] for the first time.…”

Generalized Dirac Oscillator in Cosmic String Space-Time

“…oscillator has many applications and has been studied extensively in different field ssuch as high energy physics [12][13][14][15],condensed matter physics [16][17][18], quantum Optics [19][20][21][22][23][24][25] and mathematical physics [26][27][28][29][30][31][32][33] etc. On the other hand, the analysis of gravitational interactions with a quantum mechanical system has recently attracted a great deal attention and has been an active field of research [5][6][34][35][36][37][38][39][40][41][42][43].The study of quantum mechanical problems in curved space-time can be considered as a new kind of interaction between quantum matter and gravitation in the microparticle world.…”