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Title: The Bender-Dunne basis operators as Hilbert space operators

The Bender-Dunne basis operators, T{sub −m,n}=2{sup −n}∑{sub k=0}{sup n}(n/k )q{sup k}p{sup −m}q{sup n−k} where q and p are the position and momentum operators, respectively, are formal integral operators in position representation in the entire real line R for positive integers n and m. We show, by explicit construction of a dense domain, that the operators T{sub −m,n}'s are densely defined operators in the Hilbert space L{sup 2}(R)
Authors:
;  [1]
  1. Theoretical Physics Group, National Institute of Physics, University of the Philippines, Diliman, Quezon City, 1101 Philippines (Philippines)
Publication Date:
OSTI Identifier:
22251560
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Mathematical Physics; Journal Volume: 55; Journal Issue: 2; Other Information: (c) 2014 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; HILBERT SPACE; INTEGRALS; QUANTUM OPERATORS