Modern Physics Letters A. Gravitation, Cosmology, Astrophysics, Nuclear Physics, Particles and Fields, Accelerator Physics, Quantum Information (Modern Phys. Lett. A) (19920101), 7, no.~28, 2593-2600. ISSN: 0217-7323 (print).eISSN: 1793-6632.
Subject
81 Quantum theory -- 81R Groups and algebras in quantum theory 81R30 Coherent states
81 Quantum theory -- 81S General quantum mechanics and problems of quantization 81S05 Canonical quantization, commutation relations and statistics
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.''