Applications of deformed oscillators

Applications of deformed oscillators
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变形振子的应用

DOI:
10.1007/bf01097496
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发表时间:
1992
期刊:
Journal of Soviet Mathematics
影响因子:
--
通讯作者:
P. Kulish
P. Kulish
中科院分区:
--
文献类型:
--
作者:
E. V. Damaskinskii;P. Kulish

文献摘要

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综述了变形振子的定义和性质的一些变体。讨论了相干态的q类似物。我们还考虑了变形振子的一些应用,包括最简单量子代数和超代数的q-振子表示,Jaynes-Cummings模型的suq(2)和suq(1,1)量子代数的q-相干态.推广的情况下,几个自由度。
Some variants of the definitions and properties of deformed oscillators are reviewed. The q-analogs of coherent states are discussed. We also consider some applications of deformed oscillators, including q-oscillator representations of the simplest quantum algebras and superalgebras, q-coherent states of the suq(2) and suq(1,1) quantum algebras of the Jaynes-Cummings model. Generalizations are given for the case of several degrees of freedom.