The Bender-Dunne basis operators as Hilbert space operators

Authors

Joseph Raphael R. Bunao
Eric A. Galapon, University of the Philippines Diliman

College

College of Science

Department/Unit

Physics

Document Type

Article

Source Title

Journal of Mathematical Physics

Volume

55

Issue

022102-1

Publication Date

2014

Abstract

The Bender-Dunne basis operators, 𝖳−m,n=2−n∑nk=0(nk)𝗊k𝗉−m𝗊n−kT−m,n=2−n∑k=0nnkqkp−mqn−k where 𝗊q and 𝗉p are the position and momentum operators, respectively, are formal integral operators in position representation in the entire real line ℝR for positive integers n and m. We show, by explicit construction of a dense domain, that the operators 𝖳−m,nT−m,n's are densely defined operators in the Hilbert space L2(ℝ)L2(R).

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Recommended Citation

Bunao, J. R., & Galapon, E. A. (2014). The Bender-Dunne basis operators as Hilbert space operators. Journal of Mathematical Physics, 55 (022102-1) Retrieved from https://animorepository.dlsu.edu.ph/faculty_research/3132

Disciplines

Other Mathematics | Physics

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