Multichannel nonpotential scattering theory

Journal Article · Thu May 01 00:00:00 EDT 1986 · Hadronic J.; (United States)

OSTI ID:6924892

Mignani, R

We give an extension of multichannel scattering theory to the Lie-isotopic case, in order to take account of contact, nonpotential, non-Hamiltonian forces among the colliding particles. It is shown that, both in the time-dependent and in the stationary framework, the basic tools and equations of the conventional treatment (including channel propagators and wave operators, interchannel scattering and transition operators, Lippmann-Schwinger equations, and so on) admit consistent generalizations to the nonpotential case. A two-isohilbert-space formulation of the subject: based on the introduction of a Lie: isotopic asymptotic Hilbert space-- is also presented.

• Research Organization: Dipartimento di Fisica, I Universita -acute-accent di Roma ''La Sapienza,'' I.N.F.N., Sezione di Roma, P.le A. Moro, 2-00185 Roma, Italy and Division of Physics, The Institute for Basic Research, 96 Prescott Street, Cambridge, Massachusetts 02138
• OSTI ID: 6924892
• Journal Information: Hadronic J.; (United States), Journal Name: Hadronic J.; (United States) Vol. 9:3; ISSN HAJOD
• 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
BANACH SPACE
ELEMENTARY PARTICLES
FUNCTIONS
GREEN FUNCTION
HADRONS
HILBERT SPACE
MATHEMATICAL SPACE
MATRICES
MECHANICS
QUANTUM MECHANICS
S MATRIX
SCATTERING
SPACE
TIME DEPENDENCE