Propagator of Dirac oscillator in 2D with the presence of the minimal length uncertainty

. In order to emphasize the role of quantum correction in two dimensions with the presence of the minimal length uncertainty relation, let us consider the case of relativistic Dirac oscillator in ( 2 + 1 ) -dimensional momentum space. At modified midpoint discretization interval ( p ¯ n = ( p n + p...

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Bibliographic Details
Published in:European physical journal plus 2017-02, Vol.132 (2), p.94, Article 94
Main Authors: Benzair, H., Boudjedaa, T., Merad, M.
Format: Article
Language:English
Subjects:
Applied and Technical Physics
Atomic
Complex Systems
Condensed Matter Physics
Eigenvalues
Euclidean space
Mathematical and Computational Physics
Molecular
Momentum
Optical and Plasma Physics
Oscillators
Physics
Physics and Astronomy
Quantum physics
Regular Article
Relativistic effects
Theoretical
Uncertainty
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Summary:. In order to emphasize the role of quantum correction in two dimensions with the presence of the minimal length uncertainty relation, let us consider the case of relativistic Dirac oscillator in ( 2 + 1 ) -dimensional momentum space. At modified midpoint discretization interval ( p ¯ n = ( p n + p n - 1 ) / 2 ) we can obtain the exact relativistic propagators, also the energy eigenvalues and their corresponding normalized radial momentum space eignefunctions are deduced.
ISSN:2190-5444
2190-5444
DOI:10.1140/epjp/i2017-11353-8