Incomplete 2D Hermite polynomials: properties and applications

被引：36

作者：

Dattoli, G ^{[1
]}

机构：

[1] Ctr Ric Frascati, Div Fis Applicata, ENEA, I-00044 Frascati, Rome, Italy

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2003年 / 284卷 / 02期

关键词：

D O I：

10.1016/S0022-247X(03)00259-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Incomplete forms of two-variable two-index Hermite polynomials are introduced. Their link with Laguerre polynomials is discussed and it is shown that they are a useful tool to study quantum mechanical harmonic oscillator entangled states. The possibility of developing the theory of complete 2D Hermite polynomials from the point of view of the incomplete forms is analyzed too. The orthogonality properties of the associated harmonic-oscillator functions are finally discussed. (C) 2003 Elsevier Inc. All rights reserved.

引用

页码：447 / 454

页数：8

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