$1+1$-dimensional Dirac oscillator with deformed algebra with minimal uncertainty in position and maximal in momentum

Abstract

$1+1$-dimensional Dirac oscillator with minimal uncertainty in position and maximal in momentum is investigated. To obtain energy spectrum SUSY QM technique is applied. It is shown that the Dirac oscillator has two branches of spectrum, the first one gives the standard spectrum of the Dirac oscillator when the parameter of deformation goes to zero and the second branch does not have nondeformed limit. Maximal momentum brings an upper bound for the energy and it gives rise to the conclusion that the energy spectrum contains a finite number of eigenvalues. We also calculate partition function for the spectrum of the first type. The partition function allows us to derive thermodynamic functions of the oscillator which are obtained numerically.

9 pages

References in corpus (5)

• Constraining the generalized uncertainty principle with cold atoms
• Three-dimensional Dirac oscillator in a thermal bath
• Quantum phase transitions of the Dirac oscillator in a minimal length scenario
• Effect of a minimal length on the thermal properties of a Dirac oscillator
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Cited by in corpus (2)

• Relativistic Landau levels for a fermion-antifermion pair interacting through Dirac oscillator interaction
• Propagation of spinors on a noncommutative spacetime: equivalence of the formal and the effective approach