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Abstract
Using the factorization method,four kinds of raising and lowering operators of a three-dimensional isotropic harmonic oscillator were derived and the corresponding selection rules and conserved quantum numbers were discussed.
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LIU YU-FENG,

ZENG JIN-YAN

1.
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Cited By

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[2]	Li Xing-Hua, Yang Ya-Tian.Near classical states of three-dimensional isotropic harmonic oscillator in spherical coordinate system. Acta Physica Sinica, 2015, 64(8): 080301.doi:10.7498/aps.64.080301
[3]	Lou Zhi-Mei.The study of conserved quantities and symmetries for two-dimensional isotropic harmonic charged oscillator moving in homogeneous magnetic field. Acta Physica Sinica, 2013, 62(22): 220201.doi:10.7498/aps.62.220201
[4]	Lou Zhi-Mei, Mei Feng-Xiang.The third independent conserved quantity and its symmetry of the two-dimensional anisotropic harmonic oscillator. Acta Physica Sinica, 2012, 61(11): 110201.doi:10.7498/aps.61.110201
[5]	Gong Bo-Yi, Zhou Xin, Zhao Xiao-Peng.Numerical study of three-dimensional isotropic left-handed metamaterials at visible frequencies. Acta Physica Sinica, 2011, 60(4): 044101.doi:10.7498/aps.60.044101
[6]	Ling Rui-Liang, Feng Jin-Fu, Hu Yun.Exact wave function of dual-coupled two-dimensional harmonic oscillators with time-dependent and anisotropic mass and frequency. Acta Physica Sinica, 2010, 59(2): 759-764.doi:10.7498/aps.59.759
[7]	Ling Rui-Liang, Feng Jin, Feng Jin-Fu.Quantized energy spectrum and exact wave function of three-dimensional anisotropic coupled harmonic oscillator. Acta Physica Sinica, 2010, 59(12): 8348-8358.doi:10.7498/aps.59.8348
[8]	Fu Mei-Huan, Ren Zhong-Zhou.Four kinds of raising and lowering operators of three-dimensional isotropic harmonic oscillators with spin-orbit coupling. Acta Physica Sinica, 2004, 53(5): 1280-1283.doi:10.7498/aps.53.1280
[9]	Long Chao-Yun, Chen Ming-Lun, Cai Shao-Hong.Exact solution of a kind of n-dimensions non-spherical harmonic oscillator p otential. Acta Physica Sinica, 2003, 52(8): 1858-1861.doi:10.7498/aps.52.1858
[10]	Di Yao-Min.Discussion on the calculation of radial matrix elements of three-dimensional isotropic oscillator. Acta Physica Sinica, 2003, 52(4): 786-789.doi:10.7498/aps.52.786
[11]	Xuan Xin-Wei.. Acta Physica Sinica, 2002, 51(4): 723-726.doi:10.7498/aps.51.723
[12]	WU QI-XUE.DOUBLE-WAVE FUNCTION DESCRIPTION FOR THE MOTION OF CHARGED PARTICLE IN BOTH UNIF ORM MAGNETIC FIELD AND THREE-DIMENSIONAL HARMONIC OSCILLATOR POTENTIAL FIELD. Acta Physica Sinica, 2000, 49(7): 1211-1214.doi:10.7498/aps.49.1211
[13]	Chen Chang-Yuan.. Acta Physica Sinica, 2000, 49(4): 607-609.doi:10.7498/aps.49.607
[14]	HOU CHUN-FENG, SUN XIU-DONG, ZHOU ZHONG-XIANG, LI YAN.GENERAL FORMULAS FOR RADIAL MATRIX ELEMENTS OF ISOTROPIC HARMONIC OSCILLATORS. Acta Physica Sinica, 1999, 48(3): 385-388.doi:10.7498/aps.48.385
[15]	LI GUANG-HUI.MATRIX ELEMENTS OF RAISING AND LOWERING OPERATORS OF AN ISOTROPIC HARMONIC OSCILLATOR. Acta Physica Sinica, 1997, 46(12): 2289-2293.doi:10.7498/aps.46.2289
[16]	LIU YU-FENG, ZENG JIN-YAN.FOUR KINDS OF RAISING AND LOWERING OPERATORS-OF TWO-AND THREE-DIMENSIONAL HYDROGEN ATOMS. Acta Physica Sinica, 1997, 46(3): 428-434.doi:10.7498/aps.46.428
[17]	LIU YU-FENG, ZENG JIN-YAN.FOUR KINDS OF RAISING AND LOWERING-OPERATORS OF A TWO-DIMENSIONAL-ISOTROPIC HARMONIC OSCILLATOR. Acta Physica Sinica, 1997, 46(3): 423-427.doi:10.7498/aps.46.423
[18]	PAN FENG, XU PEI-JUN.q -DEFORMATIONS OF THREE-DEMENSIONAL ISOTROPIC OSCILLATOR AND THEIR WAVE FUNCTIONS. Acta Physica Sinica, 1993, 42(6): 867-873.doi:10.7498/aps.42.867
[19]	GU SHI-JIE.THE DEGENERATE FOUR-WAVE MIXING OF LIGHT WITH ARBITRARY POLARIZATIONS IN ISOTROPIC MEDIUM. Acta Physica Sinica, 1984, 33(5): 593-601.doi:10.7498/aps.33.593
[20]	Wu Yong-shi;He Zuo-xiu.B-S WAVE FUNCTION FOR A GENERALIZED FOUR-DIMENSIONAL HARMONIC OSCILLATOR. Acta Physica Sinica, 1977, 26(3): 274-276.doi:10.7498/aps.26.274

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Vol. 46, Issue 3 - 1997-02-05

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