Exact solution of the ( 1 + 1 ) -dimensional Dirac equation with vector and scalar linear potentials in the presence of a minimal length

We present an exact solution of the ( 1 + 1 ) -dimensional Dirac equation with vector and scalar linear potentials in the context of modified quantum mechanics characterized by the presence of a non-zero minimum uncertainty in position. The bound-states energy spectrum and the corresponding momentum...

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Bibliographic Details
Published in:Physics letters. A 2010-01, Vol.374 (4), p.531-534
Main Authors: Chargui, Y., Trabelsi, A., Chetouani, L.
Format: Article
Language:English
Subjects:
Dirac equation
Linear potential
Minimal length
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Summary:We present an exact solution of the ( 1 + 1 ) -dimensional Dirac equation with vector and scalar linear potentials in the context of modified quantum mechanics characterized by the presence of a non-zero minimum uncertainty in position. The bound-states energy spectrum and the corresponding momentum space wavefunctions are exactly obtained. Our findings are compared with approximated results existing in the literature.
ISSN:0375-9601
1873-2429
DOI:10.1016/j.physleta.2009.11.028