REMARKS ON THE RELATIVISTIC KEPLER PROBLEM II. AN APPROXIMATE DIRAC-COULOMB HAMILTONIAN POSSESSING TWO VECTOR INVARIANTS,
Abstract
The Dirac-Coulomb Hamiltonian is shown to contain a ''fine structure interaction'' which, when removed, defines a new Hamiltonian differing from the Dirac-Coulomb Hamiltonian in order ( z) to the second power/ . The solutions of this new Hamiltonian, as well as its complete set of invariant operators, are explicitly given. This 'symmetric Hamiltonian' possesses a larger sym metry group than the R4 group structure of the nonrelativistic Coulomb Hamiltonian. The simplicity of the complete orthonormal set of solutions of the symmetric Hamiltonian lends itself to several useful applications which are briefly indicated. The relation is discussed between solutions of this new Hamiltonian and the Sommerfeld-Maue-Meixner-Furry (S-M-M-F) wave functions. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Aug 12, 1963
- Accession Number
- AD0427691
Entities
People
- L. C. Biedenharn
- N. V. V. J. Swamy
Organizations
- Duke University