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- W3100881098 abstract "The Bender-Dunne basis operators, $mathsf {T}_{-m,n}=2^{-n}sum _{k=0}^n { n choose k} mathsf {q}^k mathsf {p}^{-m} mathsf {q}^{n-k}$T−m,n=2−n∑k=0nnkqkp−mqn−k where $mathsf {q}$q and $mathsf {p}$p are the position and momentum operators, respectively, are formal integral operators in position representation in the entire real line $mathbb {R}$R for positive integers n and m. We show, by explicit construction of a dense domain, that the operators $mathsf {T}_{-m,n}$T−m,n's are densely defined operators in the Hilbert space $L^2(mathbb {R})$L2(R)." @default.
- W3100881098 created "2020-11-23" @default.
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- W3100881098 date "2014-02-01" @default.
- W3100881098 modified "2023-09-25" @default.
- W3100881098 title "The Bender-Dunne basis operators as Hilbert space operators" @default.
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- W3100881098 doi "https://doi.org/10.1063/1.4863901" @default.
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