Position and length operators in a theory with minimal length

Relations between the notions of fundamental and minimal lengths, and duality, in a system with minimal length uncertainty relations are examined. Self-adjoint versions of operators relevant to the problem, and their spectra, are analyzed in detail.

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Bibliographic Details
Published in:Journal of mathematical physics 2007-05, Vol.48 (5), p.052108-052108-28
Main Author: Slawny, J.
Format: Article
Language:English
Subjects:
Exact sciences and technology
Mathematical methods in physics
Mathematics
Physics
Sciences and techniques of general use
Theory
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Description
Summary:Relations between the notions of fundamental and minimal lengths, and duality, in a system with minimal length uncertainty relations are examined. Self-adjoint versions of operators relevant to the problem, and their spectra, are analyzed in detail.
ISSN:0022-2488
1089-7658
DOI:10.1063/1.2423220