Generalization of Levinson's theorem to particle--matter interactions

Journal Article · Fri May 01 04:00:00 EDT 1987 · J. Math. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1063/1.527555· OSTI ID:6685940

Chung, S G; George, T F

It is shown that Levinson's theorem in static potential scattering can be generalized to a particle dynamically interacting with one-dimensional matter systems (liquids or solids). A restriction on a particle--matter interaction is that it decays faster than an inverse quadratic of the particle--matter separation.

• Research Organization: Department of Physics, Western Michigan University, Kalamazoo, Michigan 49008
• OSTI ID: 6685940
• Journal Information: J. Math. Phys. (N.Y.); (United States), Journal Name: J. Math. Phys. (N.Y.); (United States) Vol. 28:5; ISSN JMAPA
• Country of Publication: United States
• Language: English

Related Subjects

645201* -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- General & Scattering Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
DIFFERENTIAL EQUATIONS
EIGENSTATES
ELASTIC SCATTERING
EQUATIONS
FUNCTIONS
INTERACTIONS
JOST FUNCTION
LEVINSON THEOREM
MATHEMATICAL OPERATORS
ONE-DIMENSIONAL CALCULATIONS
PARTIAL DIFFERENTIAL EQUATIONS
PHASE SHIFT
POTENTIAL SCATTERING
QUANTUM OPERATORS
SCATTERING
SCHROEDINGER EQUATION
WAVE EQUATIONS