FOUR KINDS OF RAISING AND LOWERING-OPERATORS OF A THREE-DIMENSIONAL-ISOTROPIC HARMONIC OSCILLATOR

LIU YU-FENG; ZENG JIN-YAN

doi:10.7498/aps.46.417

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.
Authors and contacts
LIU YU-FENG,

ZENG JIN-YAN

1.
北京大学物理系
References

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[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
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[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
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[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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FOUR KINDS OF RAISING AND LOWERING-OPERATORS OF A THREE-DIMENSIONAL-ISOTROPIC HARMONIC OSCILLATOR

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FOUR KINDS OF RAISING AND LOWERING-OPERATORS OF A THREE-DIMENSIONAL-ISOTROPIC HARMONIC OSCILLATOR

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