Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Journal of Liaoning University

Raising and Lowering Operators of a Three dimensional Isotropic Harmonic Oscillator

Ma Fang

Published Jan 1, 1999• 0 citations
OpenAlex

Abstract

By using of raising and lowering operators of a three dimensional isotropic harmonic oscillators in the particle number representation, raising and lowering operators of a three dimensional isotropic harmonic oscillator in the coordinate representation were derived, and that of three quantum numbers were obtained.

Related papers

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

Yufeng Liu, ZENG JIN-YAN, 北京大学物理系

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.

Acta Physica Sinica•Jan 1, 1997•1 citation

Raising and Lowering Operators of Two-and Three-dimensional Isotropic Harmonic Oscillators

Wei Huang

The raising and lowering operators of two and three dimensional isotropic harmonic oscillators were systemalically Constructed and their properties were discussed.

Journal of Xingjiang University•Jan 1, 2001•0 citations

Four kinds of raising and lowering operators of three-dimensional isotropic harmonic oscillators with spin-orbit coupling

Fu Mei-Huan, Zhongzhou Ren, (1)南京大学物理系,南京 210008; (2)南京大学物理系,南京 210008;南京工业职业技术学院,南京 210007

The method of raising and lowering operator is used to solve the problem of threedimensional isotropic harmonic oscillator with Spinorbit coupling. The energy level splitting of the harmonic oscillator is analyzed and discussed.

Acta Physica Sinica•Jan 1, 2004•0 citations

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

Yufeng Liu, ZENG JIN-YAN, 北京大学物理系

Using the factorization method,four kinds of raising and lowering operators of a two dimensional isotropic harmonic oscillator were derived, and the corresponding selection rules and conserved quantum numbers were discussed.

Acta Physica Sinica•Jan 1, 1997•1 citation

Matrix Elements of Raising And Lowering Operators of an N-Dimensional Isotropic Harmonic Oscillator

Peng Yang

Employing the factorization method,a new definition of four kinds of raising and lowering operators of an N dimensional isotropic oscillator is given. The general forms of their matrix elements and normalizing constants are calculated.

Journal of Xi'an University of Post and Telecommunications•Jan 1, 2000•0 citations

The Harmonic Oscillator

Rocco Schiavilla

The lowering, raising, and number operators are defined and their properties are studied; the eigenfunctions of the harmonic oscillator Hamiltonian are derived; coherent or quasi-classical states are obtained and their properties examined. Several applications are discussed, including, among others, the isotropic harmonic oscillator in N dimensions and a model for a one-dimensional crystal.

Cambridge University Press eBooks•Dec 5, 2024•0 citations