Please use this identifier to cite or link to this item:
Scopus Web of Science® Altmetric
Type: Journal article
Title: Weyl-ordered polynomials in fractional-dimensional quantum mechanics
Author: Lohe, M.
Thilagam, A.
Citation: Journal of Physics A: Mathematical and Theoretical, 2005; 38(2):461-483
Publisher: IOP Publishing Ltd
Issue Date: 2005
ISSN: 1751-8113
Statement of
M A Lohe and A Thilagam
Abstract: We develop algebraic properties of Weyl-ordered polynomials in the momentum and position operators P, Q which satisfy the R-deformed Heisenberg algebra, representations of which describe quantum mechanics in fractional dimensions. By viewing Weyl-ordered polynomials as tensor operators with respect to the Lie algebra sl₂(C) we derive a specific form for these polynomials, including an expression in terms of hypergeometric functions, and determine various algebraic properties such as recurrence relations, symmetries, and also a general product formula from which all commutators and anti-commutators may be calculated. We briefly discuss several applications to quantum mechanics in fractional dimensions.
Description: Copyright © 2005 IOP Publishing
DOI: 10.1088/0305-4470/38/2/012
Published version:
Appears in Collections:Aurora harvest 6
Physics publications

Files in This Item:
There are no files associated with this item.

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.