Arbitrarily ordered basis operators as Hilbert space operators

Authors

Jam Benneth Gozun Wong ⋅ PH Department of Physical Sciences and Mathematics, University of the Philippines Manila
Herbert Boras Domingo ⋅ PH Department of Physical Sciences and Mathematics, University of the Philippines Manila

Abstract

We determine the action of arbitrarily ordered Hermitian operators A_m_,_n corresponding to classical monomials p^mqⁿfor nonnegative integers m, n. We further show that the domains of such operators are in the Schwartz space.

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Issue

2018: Proceedings of the 36th Samahang Pisika ng Pilipinas Physics Conference

Article ID

SPP-2018-PC-08

Section

Poster Session C (Mathematical Physics, Optics, and Interdisciplinary Topics)

Published

2018-05-21

How to Cite

[1]

JBG Wong and HB Domingo, Arbitrarily ordered basis operators as Hilbert space operators, Proceedings of the Samahang Pisika ng Pilipinas 36, SPP-2018-PC-08 (2018). URL: https://proceedings.spp-online.org/article/view/SPP-2018-PC-08.