Spectroscopy of the Dirac oscillator perturbed by a surface delta potential
J. Mun\'arriz, F. Dom\'inguez-Adame, R.P.A. Lima
TL;DR
This paper presents a theoretical analysis of how a surface delta potential affects the energy levels of the Dirac oscillator, using Green function techniques to derive explicit formulas for various quantum states.
Contribution
It introduces a Green function approach to analyze the Dirac oscillator with a surface delta potential, providing explicit expressions for all partial waves and parities.
Findings
Derived closed-form expressions for level shifts in the Dirac oscillator
Analyzed the impact of sharply peaked potentials on quantum energy levels
Provided a comprehensive theoretical framework for surface delta potential perturbations
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.
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