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Title: THEORY OF ANGULAR MOMENTUM IN N-DIMENSIONAL SPACE

Abstract

The commutation relations for angular-momentum components in an N- dimensional Euclidean space are defined, and a set of independent mutually commuting angularmomertum operators is constructed. The simultaneous eigenvectors of these commuting operators are chosen as basic eigenvectors to obtain the matrix representations of the angular-momentum components. The eigenvalues of the commuting operators are found. The position of orbital angular momentum with respect to the general theory is illustrated. The eigenvalues of the N-dimensional isotropic harmonic oscillator Hamiltonian and the matrix representations of the coordinates and conjugate linear momenta of the oscillator are derived in the representation which diagonalizes the orbital angular momentum operators. Matrix methods are employed. (auth)

Authors:
Publication Date:
Research Org.:
Los Alamos Scientific Lab., N. Mex.
OSTI Identifier:
4121939
Report Number(s):
LA-2451
NSA Number:
NSA-15-001743
DOE Contract Number:  
W-7405-ENG-36
Resource Type:
Technical Report
Resource Relation:
Other Information: Orig. Receipt Date: 31-DEC-61
Country of Publication:
United States
Language:
English
Subject:
MATHEMATICS AND COMPUTERS; ANGULAR MOMENTUM; DIFFERENTIAL EQUATIONS; HAMILTONIAN; MATHEMATICS; MATRICES; MOMENTUM; OSCILLATIONS; OSCILLATORS; QUANTUM MECHANICS

Citation Formats

Louck, J D. THEORY OF ANGULAR MOMENTUM IN N-DIMENSIONAL SPACE. United States: N. p., 1960. Web.
Louck, J D. THEORY OF ANGULAR MOMENTUM IN N-DIMENSIONAL SPACE. United States.
Louck, J D. 1960. "THEORY OF ANGULAR MOMENTUM IN N-DIMENSIONAL SPACE". United States.
@article{osti_4121939,
title = {THEORY OF ANGULAR MOMENTUM IN N-DIMENSIONAL SPACE},
author = {Louck, J D},
abstractNote = {The commutation relations for angular-momentum components in an N- dimensional Euclidean space are defined, and a set of independent mutually commuting angularmomertum operators is constructed. The simultaneous eigenvectors of these commuting operators are chosen as basic eigenvectors to obtain the matrix representations of the angular-momentum components. The eigenvalues of the commuting operators are found. The position of orbital angular momentum with respect to the general theory is illustrated. The eigenvalues of the N-dimensional isotropic harmonic oscillator Hamiltonian and the matrix representations of the coordinates and conjugate linear momenta of the oscillator are derived in the representation which diagonalizes the orbital angular momentum operators. Matrix methods are employed. (auth)},
doi = {},
url = {https://www.osti.gov/biblio/4121939}, journal = {},
number = ,
volume = ,
place = {United States},
year = {1960},
month = {5}
}

Technical Report:
Other availability
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