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Title: From sequences to polynomials and back, via operator orderings

Bender and Dunne [“Polynomials and operator orderings,” J. Math. Phys. 29, 1727–1731 (1988)] showed that linear combinations of words q{sup k}p{sup n}q{sup n−k}, where p and q are subject to the relation qp − pq = ı, may be expressed as a polynomial in the symbol z=1/2 (qp+pq). Relations between such polynomials and linear combinations of the transformed coefficients are explored. In particular, examples yielding orthogonal polynomials are provided.
Authors:
; ;  [1] ;  [2] ;  [3]
  1. Department of Mathematics, Tulane University, New Orleans, Louisiana 70118 (United States)
  2. Department of Mathematics, Xavier University of Louisiana, New Orleans, Louisiana 70125 (United States)
  3. Department of Mathematics, Tulane University, New Orleans, Louisiana 70118, USA and L.S.S. Supelec, Universite d'Orsay (France)
Publication Date:
OSTI Identifier:
22251756
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Mathematical Physics; Journal Volume: 54; Journal Issue: 12; Other Information: (c) 2013 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; MATHEMATICAL OPERATORS; POLYNOMIALS; YIELDS