Redundant states and Jost functions for nonlocal potentials

Journal Article · Mon Oct 01 04:00:00 EDT 1979 · Phys. Rev., C; (United States)

DOI:https://doi.org/10.1103/PhysRevC.20.1251· OSTI ID:5814069

Bagchi, B; Mulligan, B; Qadri, S B

This paper considers the existence of Jost solutions f/sup + -/(k,r) and the Jost functions L/sup + -/(k) in the presence of redundant states. The definition of L/sup + -/(k) directly in terms of Fredholm determinants associated with kernels of integral equations is discussed. Examples are used to stress the importance of this relationship when the Jost solutions do not exist.

• Research Organization: Department of Physics, The Ohio State University, Columbus, Ohio 43210
• OSTI ID: 5814069
• Journal Information: Phys. Rev., C; (United States), Journal Name: Phys. Rev., C; (United States) Vol. 20:4; ISSN PRVCA
• Country of Publication: United States
• Language: English

Related Subjects

645500* -- High Energy Physics-- Scattering Theory-- (-1987)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOUNDARY CONDITIONS
DIFFERENTIAL EQUATIONS
ENERGY LEVELS
EQUATIONS
FREDHOLM EQUATION
FUNCTIONS
GREEN FUNCTION
INTEGRAL EQUATIONS
JOST FUNCTION
KERNELS
NONLOCAL POTENTIAL
PHASE SHIFT
POTENTIALS
SCATTERING
SCHROEDINGER EQUATION
VOLTERRA INTEGRAL EQUATIONS
WAVE EQUATIONS