The probability representation of quantum states and integral relations for Hermite and Laguerre polynomials

被引：2
|
作者：
Kolesnikov, Anton A.
Man'ko, Vladimir I.
机构：
[1] State Univ, Moscow Inst Phys & Technol, Dolgoprudnyi 141700, Moscow Region, Russia
[2] Russian Acad Sci, PN Lebedev Phys Inst, Moscow 119991, Russia
来源：
JOURNAL OF RUSSIAN LASER RESEARCH | 2007年 / 28卷 / 06期
关键词：
star-product; symplectic tomography; operator symbol; Hermite polynomials; probability distribution;
D O I：
10.1007/s10946-007-0045-0
中图分类号：
O43 [光学];
学科分类号：
070207 ; 0803 ;
摘要：
Some integral relations for orthogonal polynomials are elucidated. We review the generic scheme of the star-product construction and study in detail the star-product scheme based on the tomographic map. The dual star-product operator symbols are also considered and studied. Some integral kernels related to the star-product are calculated and new integral formulas for special functions are derived.
引用
收藏
页码：594 / 609
页数：16
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