Derivation of the Lippmann-Schwinger N-body equations from the time-independent Schroedinger equation

Journal Article · Sat Jan 01 00:00:00 EST 1983 · Phys. Rev. C; (United States)

DOI:https://doi.org/10.1103/PhysRevC.27.88· OSTI ID:6206889

Tobocman, W

The Lippmann-Schwinger N-body equations are ordinarily derived from time dependent scattering theory. Derivations from time independent scattering theory by means of Green's theorem have also been given. Both derivations are based on unproven assumptions. We present a new derivation based on different assumptions which we believe to be more plausible. Our derivation is particularly simple and provides a new insight into the nature of the Lippmann identity.

• Research Organization: Physics Department, Case Western Reserve University, Cleveland, Ohio 44106
• OSTI ID: 6206889
• Journal Information: Phys. Rev. C; (United States), Vol. 27:1
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
MANY-BODY PROBLEM
LIPPMANN-SCHWINGER EQUATION
GREEN FUNCTION
INTEGRAL EQUATIONS
PARTITION FUNCTIONS
SCATTERING
SCHROEDINGER EQUATION
TIME DEPENDENCE
DIFFERENTIAL EQUATIONS
EQUATIONS
FUNCTIONS
PARTIAL DIFFERENTIAL EQUATIONS
WAVE EQUATIONS
653003* - Nuclear Theory- Nuclear Reactions & Scattering