Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2009-07-30
Physics Letters A 373 (2009) 4307-4310
Physics
High Energy Physics
High Energy Physics - Theory
4 pages
Scientific paper
10.1016/j.physleta.2009.09.054
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.
Bagchi Bijan
Fring Andreas
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