Levinson's theorem for Dirac particles with a long-range potential

Journal Article · Tue Oct 15 00:00:00 EDT 1985 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.32.2213· OSTI ID:5213631

Ma, Z

The property that the relative phase shift delta(E)-delta/sup(/sup 1/)(E) for the potential V/sup(/sup 2/) = V-V/sup(/sup 1/) and the difference of the numbers of the bound states n-n/sup(/sup 1/) satisfy Levinson's theorem for the Schroedinger problem is very useful for discussing the problem with a long-range potential and with a repulsive hard core. In terms of this property, Levinson's theorem is extended to the Dirac problem with a long-range potential in this paper.

• Research Organization: Institute for Theoretical Physics, State University of New York at Stony Brook, Stony Brook, New York 11794
• OSTI ID: 5213631
• Journal Information: Phys. Rev. D; (United States), Journal Name: Phys. Rev. D; (United States) Vol. 32:8; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645201* -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- General & Scattering Theory
657002 -- Theoretical & Mathematical Physics-- Classical & Quantum Mechanics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANGULAR MOMENTUM
BOUND STATE
DIFFERENTIAL EQUATIONS
ELEMENTARY PARTICLES
EQUATIONS
FUNCTIONS
LEVINSON THEOREM
MAGNETIC MONOPOLES
MONOPOLES
PARTIAL DIFFERENTIAL EQUATIONS
PHASE SHIFT
POSTULATED PARTICLES
POTENTIALS
SCHROEDINGER EQUATION
STURM-LIOUVILLE EQUATION
WAVE EQUATIONS
WAVE FUNCTIONS