The bound eigenfunctions and spectrum of a Dirac hydrogen atom are found takmg advantage of the SU(1, 1) Lie algebra in which the radial part of the problem can be expressed. For defining the algebra we need to add to the ...

The motion of a particle in a Coulomb field is analyzed with the help of the conserved Hamilton vector. This affords a simple way of obtaining both the orbit in configuration space and the hodograph in velocity space. We ...

General recurrence relations for arbitrary non-diagonal, radial hydrogenic matrix elements are derived in Dirac relativistic quantum mechanics, Our approach is based on a generalization of the second hypervirial method ...

The momentum representation is little used in quantum mechanics courses. Some students are hence surprised by the change in viewpoint when, in doing advanced work, they have to use the momentum rather than the coordinate ...

Recently obtained recurrence formulae for relativistic hydrogenic radial matrix elements are cast in a simpler and perhaps more useful form. This is achieved with the help of a new relation between the r(a) and the betar(b) ...