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arXiv math/0209181math.QAmath.CA
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经典正交多项式的广义相干态

Generalized Coherent States for Classical Orthogonal Polynomials

V. V. Borzov, E. V. Damaskinsky

摘要:

对于与Laguerre多项式、Legendre多项式和切比雪夫多项式相联系的类混沌系统,定义了Glauber-Barut-Girardello型相干态。所提出的构造方法可应用于任何正交多项式系统,包括经典的和变形的。

英文摘要:

For the oscillator-like systems, connected with the Laguerre, Legendre and Chebyshev polynomials coherent states of Glauber-Barut-Girardello type are defined. The suggested construction can be applied to each system of orthogonal polynomials including classical ones as well as deformed ones.

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