THEORY OF ANGULAR MOMENTUM IN N-DIMENSIONAL SPACE
Technical Report
·
OSTI ID:4121939
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)
- Research Organization:
- Los Alamos Scientific Lab., N. Mex.
- DOE Contract Number:
- W-7405-ENG-36
- NSA Number:
- NSA-15-001743
- OSTI ID:
- 4121939
- Report Number(s):
- LA-2451
- Country of Publication:
- United States
- Language:
- English
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