The Polar Decomposition of q-Deformed Boson Algebra
In this paper we used the finite Fourier transformation to obtain the polar decomposition of the q-deformed boson algebra with $q$ a root of unity.
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arXiv subjects
W-S. Chung
Publications and source records attributed to W-S. Chung.
Some Realization of $gl_q(n)$-covariant Oscillator Algebra and $gl_q(n)$-covariant q-Virasoro Algebra with $q$ a root of unity
In this paper some realization of $gl_q(n)$-covariant oscillators is obtained when $q$ is a root of unity. And the $gl_q(n)$-covariant q-Virasoro algebra is presented by using the $gl_q(n)$-covariant oscillators.
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Coherent States of $gl_q(2)$-covariant Oscillators
In this paper two types of coherent states of $gl_q(2)$-covariant oscillators are investigated.
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$gl_q(n)$-Covariant Multimode Oscillators and q-Symmetric States
In this paper the coherent states and q-symmetric states for $gl_q(n)$-covariant multimode oscillator system are investigated.
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On Witten-type deformation of osp(1/2) Algebra
In this paper Witten type deformation of osp(1/2) algbera is introduced and its realization and matrix representation are obtained. The matrix representation is shown to be possible only when the dimension is odd.
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$gl_q(n)$-covariant Oscillators and q-Deformed Quantum Mechanics in n Dimensions
In this paper the coherent state for $gl_q(n)$-covariant oscillators is constructed and is shown to satisfy the completeness relation. And the q-analogue of quantum mechanics in n dimensions is obtained by using $gl_q(n)$ oscillators.
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Two parameter Deformed Multimode Oscillators and q-Symmetric States
Two types of the coherent states for two parameter deformed multimode oscillator system are investigated. Moreover, two parameter deformed $gl(n)$ algebra and deformed symmetric states are constructed.
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