The qs-Hermite Polynomial and the Representations of Heisenberg and Quantum Heisenberg Algebra |
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| Authors: | Xi-Wen GUAN Dian-Min TONG Huan-Qiang ZHOU |
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| Institution: | 1. Department of Physics, Shandong Normal University, Jinan 250014, China;
2. Department of Applied Physics, Chongqing University, Chongqing 620044, China |
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| Abstract: | By introducing a pair of canonical conjugate two-parameter deformed operators Dqs, Xqs,we can naturally obtain the form of qs-analogous Taylor series for an arbitrary analytic function, and explicitly construct the realizations of Heisenberg and two-parameter deformed quantum Heisenberg algebra by means of the operators Dqs and Xqs, and it is shown that the qs-analogous Hermite polynomials are the representations of Heisenberg and the quantum Heisen berg algebra. |
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