Levinson's theorem for potentials with Coulomb tails

Journal Article · Sat Mar 15 04:00:00 EST 1986 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.33.1745· OSTI ID:6006640

Ma, Z

In terms of the Sturm-Liouville theorem, Levinson's theorem is extended to cases of potentials with a Coulomb tail, for both the Schroedinger and Dirac equations. A concept of increasing to an infinitely large number of bound states is discussed and defined. The solutions of both equations with a Coulomb potential and their asymptotic behavior at small momentum k are calculated in detail.

• Research Organization: Department of Physics, Syracuse University, Syracuse, New York 13244
• DOE Contract Number: FG02-85ER40231
• OSTI ID: 6006640
• Journal Information: Phys. Rev. D; (United States), Journal Name: Phys. Rev. D; (United States) Vol. 33:6; 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
COULOMB FIELD
DIFFERENTIAL EQUATIONS
DIRAC EQUATION
ELECTRIC FIELDS
EQUATIONS
LEVINSON THEOREM
PARTIAL DIFFERENTIAL EQUATIONS
PHASE SHIFT
POTENTIALS
SCATTERING
SCHROEDINGER EQUATION
STURM-LIOUVILLE EQUATION
WAVE EQUATIONS