and the spin-orbit matrix operator [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] commute with the Dirac Hamiltonian, where L is orbital angular momentum operator
For ultraspherical expansions, an UP has been proved by Rosler and Voit in  making use of the Dunkl operator as the angular momentum operator.
2] as position operator and the angular momentum operator [OMEGA] -iL* = -I[eta] x [nabla]* as momentum operator where [nabla]* denotes the surface gradient and L* the surface curl gradient.
The spectrum n corresponds to the quantization of the angular momentum operator in the [x.
This result is just the hyperbolic-space generalization of the standard decomposition of the Laplace operator in spherical coordinates in terms of the radial derivatives plus a term containing the square of the orbital angular momentum operator [L.
This allows to express H in terms of the standard angular momentum operators in 6-dim.
mu]] in d - 1-dimensions can be written in terms of the standard angular momentum operators in (d - 1) + 2 = d + 1-dim as H = [C.
Also appropriate for independent study, this undergraduate textbook introduces the supersymmetric quantum mechanics (SUSYQM) approach to solving the Schr|dinger equation, the concept of shape invariant potentials, and the algebra of angular momentum operators
In the case of spin, the symbols J and j denote total and single particle angular momentum operators