Abstract
Explicit Hermitian operator functions of q and p are constructed for the generators of the de Sitter group on the bound-state wave functions for the hydrogen atom. This is done for each of the one-parameter family of irreducible unitary representations of in which the irreducible representations of the four-dimensional rotation group correspond to the degeneracy subspaces of the bound-state energy levels. The commutation relations and the values of the invariants which label the representation of are verified by direct operator calculations.
- Received 3 February 1966
DOI:https://doi.org/10.1103/PhysRev.148.1276
©1966 American Physical Society