期刊
PHYSICS LETTERS A
卷 373, 期 47, 页码 4307-4310出版社
ELSEVIER SCIENCE BV
DOI: 10.1016/j.physleta.2009.09.054
关键词
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Deformations of the canonical commutation relations lead to non-Hermitian momentum and position operators and therefore almost inevitably to non-Hermitian Hamiltonians. We demonstrate that such type of deformed quantum mechanical systems may be treated in a similar framework as quasi/pseudo and/or PT-symmetric systems, which have recently attracted much attention. For a newly proposed deformation of exponential type we compute the minimal uncertainty and minimal length, which are essential in almost all approaches to quantum gravity. (C) 2009 Elsevier B.V. All rights reserved.
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