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N维各向同性谐振子四类升降算子的归一化系数
引用本文:田秀劳,张淳民. N维各向同性谐振子四类升降算子的归一化系数[J]. 光子学报, 2002, 31(12): 1524-1527
作者姓名:田秀劳  张淳民
作者单位:1. 西安邮电学院基础课部,陕西,西安,710061
2. 西安交通大学光信息科学与技术系,陕西,西安,710049
摘    要:重新构造出N(N≥2)维各向同性谐振子的另外四类升降算子,计算了它们的矩阵元,给出了归一化系数的普适表示式.

关 键 词:N维谐振子  升降算子  矩阵元  归一化系数
收稿时间:2002-04-02
修稿时间:2002-04-02

NOMALIZATION COEFFICIENT OF FOUR KINDS OF RAISING AND LOWERING OPERATORS OF AN N-DIMEISIONAL ISOTROPIC HARMONIC OSCILLATOR
Tian Xiulao ,Zhang Chunmin. NOMALIZATION COEFFICIENT OF FOUR KINDS OF RAISING AND LOWERING OPERATORS OF AN N-DIMEISIONAL ISOTROPIC HARMONIC OSCILLATOR[J]. Acta Photonica Sinica, 2002, 31(12): 1524-1527
Authors:Tian Xiulao   Zhang Chunmin
Affiliation:Tian Xiulao 1,Zhang Chunmin 2 Department of Basic Coures,Xi'an,Institute of Post and Telecommunications Xi'an 710061 Department of Potical Information Science and Technology,Xi'an Jiaotong University,710049
Abstract:Using the factorization method, the other four kinds of rasing and lowering operators of an N_dimensional isotropic hamonic oscillator are constructed. Computing their matrix elements, the general forms of their normalization coefficient are given. The normalization coefficient of two_and three_dimensional isotropic hamonic oscillator is the same as conclusion of Ref. 4, when N=2 or N=3.
Keywords:N dimensional isotropic osillators  Raising and lowering operators  Matrix elements  Normalization cofficient
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