GENERALIZED ORBITAL ANGULAR MOMENTUM AND THE n-FOLD DEGENERATE QUANTUM- MECHANICALATOR
Journal Article
·
· J. Mol. Spectroscopy
A set of commuting generalized orbital angular momentum operators in n- dimensional polar coordinates is defined and their eigenvalues and simultaneous eigenfunctions determined by the use of results from the factorization method of solving eigenvalue problems. A set of generalized orbital angular momentum components is also defined and relations are given for determining their nonvanishing matrix elements. The n-fold degenerate oscillator radial equation is solved by a quadruple factorization of the hamiltonian and these radial equation results are combined with the generalized angular momentum results to obtain relations from which the nonvanishing matrix elements of the cartesian coordinates and conjugate linear momenta of the oscillator can be calculated. (auth)
- Research Organization:
- Los Alamos Scientific Lab., N. Mex.
- NSA Number:
- NSA-14-013096
- OSTI ID:
- 4174601
- Journal Information:
- J. Mol. Spectroscopy, Journal Name: J. Mol. Spectroscopy Vol. Vol: 4
- Country of Publication:
- Country unknown/Code not available
- Language:
- English
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