학술논문
On $q$-deformed para oscillators and para-$q$ oscillators.
Document Type
Journal
Author
Kumari, M. Krishna (6-HYDR-P) AMS Author Profile; Shanta, P. (6-HYDR-P) AMS Author Profile; Chaturvedi, S. (6-HYDR-P) AMS Author Profile; Srinivasan, V. (6-HYDR-P) AMS Author Profile
Source
Subject
81 Quantum theory -- 81R Groups and algebras in quantum theory
81R30Coherent states
81Quantum theory -- 81S General quantum mechanics and problems of quantization
81S05Canonical quantization, commutation relations and statistics
81R30
81
81S05
Language
English
Abstract
Summary: ``Three generalized commutation relations for a single mode of the harmonic oscillator which contains para-Bose and $q$-oscillator commutation relations are constructed. These are shown to be inequivalent. The coherent states of the annihilation operator for these three cases are also constructed.''