Theory of involutional transformations applied to the Dirac theory of the electron. II. Remarks on the Dirac--Coulomb waves

Journal Article · Fri Aug 01 04:00:00 EDT 1980 · J. Math. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1063/1.524668· OSTI ID:5173407

Kim, S K

By means of a single involutional transformation, the Dirac equation for a charged particle in a central Coulomb field is reduced to a second-order differential equation for the radial part which has the same form as the radial equation for the nonrelativistic Coulomb problem. The general Dirac--Coulomb waves thus obtained are highly symmetric with respect to signs of the energies and other constants of motion. It gives the precise phase shift for the continuum spectrum without any additive multiple of ..pi.. in contrast to the existing solutions. The symmetry properties of the Dirac--Coulomb waves are discussed.

• Research Organization: Department of Chemistry, Temple University, Philadelphia, Pennsylvania 19122
• OSTI ID: 5173407
• Journal Information: J. Math. Phys. (N.Y.); (United States), Journal Name: J. Math. Phys. (N.Y.); (United States) Vol. 21:8; ISSN JMAPA
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANALYTICAL SOLUTION
COULOMB FIELD
DIFFERENTIAL EQUATIONS
DIRAC EQUATION
EIGENVALUES
ELECTRIC FIELDS
ELECTRONS
ELEMENTARY PARTICLES
EQUATIONS
FERMIONS
HAMILTONIANS
LEPTONS
MATHEMATICAL OPERATORS
PHASE SHIFT
QUANTUM OPERATORS
TRANSFORMATIONS
WAVE EQUATIONS