Nonlocal separable potential in the one-dimensional Dirac equation

Journal Article · Mon Aug 01 00:00:00 EDT 1988 · Phys. Rev. C; (United States)

DOI:https://doi.org/10.1103/PhysRevC.38.1076· OSTI ID:7136240

Calkin, M G; Kiang, D; Nogami, Y

The one-dimensional Dirac equation is solved for a separable potential of the form of Lorentz scalar plus vector, (..beta..g+h)v(x)v(x'). Exact analytic solutions are obtained for bound and scattering states for arbitrary v(x). For a particular combination of the values of g and h, degeneracy of the bound state occurs, and total reflection also takes place for a certain incident energy. The limiting case, in which v(x) becomes a delta function, is discussed in detail.

• Research Organization: Department of Physics, Dalhousie University, Halifax, Nova Scotia, Canada B3H 3J5
• OSTI ID: 7136240
• Journal Information: Phys. Rev. C; (United States), Vol. 38:2
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
DIRAC EQUATION
ONE-DIMENSIONAL CALCULATIONS
NONLOCAL POTENTIAL
BOUND STATE
GREEN FUNCTION
SCATTERING
WAVE FUNCTIONS
DIFFERENTIAL EQUATIONS
EQUATIONS
FUNCTIONS
PARTIAL DIFFERENTIAL EQUATIONS
POTENTIALS
WAVE EQUATIONS
653001* - Nuclear Theory- Nuclear Structure
Moments
Spin
& Models
653003 - Nuclear Theory- Nuclear Reactions & Scattering