Accession Number : AD0427691


Title :   REMARKS ON THE RELATIVISTIC KEPLER PROBLEM II. AN APPROXIMATE DIRAC-COULOMB HAMILTONIAN POSSESSING TWO VECTOR INVARIANTS,


Corporate Author : DUKE UNIV DURHAM N C


Personal Author(s) : Biedenharn,L C ; Swamy,N V V J


Report Date : 12 Aug 1963


Pagination or Media Count : 23


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)


Descriptors :   *CHARGED PARTICLES , NUCLEAR SPINS , RELATIVITY THEORY , OPERATORS(MATHEMATICS) , BREMSSTRAHLUNG , FUNCTIONS(MATHEMATICS) , DIFFERENTIAL EQUATIONS


Distribution Statement : APPROVED FOR PUBLIC RELEASE