Laguerre polynomials by a harmonic oscillator

被引：3
|
作者：
Baykal, Melek [1 ]
Baykal, Ahmet [1 ]
机构：
[1] Nigde Univ, Fac Arts & Sci, Dept Phys, TR-51240 Bor Yolu, Nigde, Turkey
来源：
EUROPEAN JOURNAL OF PHYSICS | 2014年 / 35卷 / 05期
关键词：
quantum mechanics; solutions of wave equations: bound states; algebraic methods;
D O I：
10.1088/0143-0807/35/5/055005
中图分类号：
G40 [教育学];
学科分类号：
040101 ; 120403 ;
摘要：
The study of an isotropic harmonic oscillator, using the factorization method given in Ohanian's textbook on quantum mechanics, is refined and some collateral extensions of the method related to the ladder operators and the associated Laguerre polynomials are presented. In particular, some analytical properties of the associated Laguerre polynomials are derived using the ladder operators.
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页数：12
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