A generating function for hermite polynomials associated with euclidean Landau levels

被引：3

作者：

Mouayn, Z. ^{[1
]}

机构：

[1] Sultan Moulay Slimane Univ, Fac Sci & Tech MGhila, Dept Math, Beni Mellal, Morocco

来源：

THEORETICAL AND MATHEMATICAL PHYSICS | 2010年 / 165卷 / 02期

关键词：

Hermite polynomial; generating function; coherent state; magnetic field; Landau level; COHERENT STATES;

D O I：

10.1007/s11232-010-0119-y

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We construct a generating function for the Hermite polynomials by comparing two expressions for the same coherent states associated with Landau levels in the planar problem. The first expression is found using a group theory construction, and the second expression is obtained using generalized canonical coherent states expanded as series in the basis of number states.

引用

页码：1435 / 1442

页数：8

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