The Bender-Dunne basis operators as Hilbert space operators
Journal Article
·
· Journal of Mathematical Physics
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)
- OSTI ID:
- 22251560
- Journal Information:
- Journal of Mathematical Physics, Vol. 55, Issue 2; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
- Country of Publication:
- United States
- Language:
- English
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