2024
DOI: 10.1088/1402-4896/ad2f91
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Exact Green’s function for 2D dirac oscillator in constant magnetic field within curved snyder space, and its thermal properties

Thouiba Benzair,
Thouraia Chohra,
Tahar Boudjedaa
et al.

Abstract: Following the path integral approach and in the context of curved Snyder space, we formulate the Green function for a (1+1)-dimensional Dirac oscillator system subject to a homogeneous magnetic field. Using the radial coordinates transformation the Green function and the electron propagator are calculated. Consequently, the exact bound states and their corresponding spectral energies are extracted. Our analysis has revealed that, under specific conditions when mω→mω_{c}/2 and c→V_{F}, the behavior of the Dirac… Show more

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