Formal scattering theory by an algebraic approach

Journal Article · Mon Feb 25 04:00:00 EST 1985 · Phys. Rev. Lett.; (United States)

DOI:https://doi.org/10.1103/PhysRevLett.54.739· OSTI ID:5817905

Alhassid, Y; Levine, R D

Formal scattering theory is recast in a Lie-algebraic form. The central result is an algebraic Lippmann-Schwinger equation for the wave operator from which an algebraic form of the Born series (containing only linked terms) is obtained. When a finite Lie algebra is sufficient, The Moller wave operator, on the energy shell, can be solved for explicitly as an element of the corresponding group. The method is illustrated for the separable potential whose relevant algebra is found to be U(1,1).

• Research Organization: A. W. Wright Nuclear Structure Laboratory, Yale University, New Haven, Connecticut 06511
• DOE Contract Number: AC02-76ER03074
• OSTI ID: 5817905
• Journal Information: Phys. Rev. Lett.; (United States), Journal Name: Phys. Rev. Lett.; (United States) Vol. 54:8; ISSN PRLTA
• Country of Publication: United States
• Language: English

Related Subjects

645500* -- High Energy Physics-- Scattering Theory-- (-1987)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ALGEBRA
BORN APPROXIMATION
EQUATIONS
INTEGRAL EQUATIONS
LIPPMANN-SCHWINGER EQUATION
MATHEMATICAL OPERATORS
MATHEMATICS
SCATTERING