Scattering in constraint relativistic quantum dynamics

Journal Article · Wed Dec 15 04:00:00 EST 1982 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.26.3452· OSTI ID:6366856

Horwitz, L P; Rohrlich, F

A relativistic scattering theory is developed for a covariant constraint dynamics with direct interparticle interactions. Both time-dependent and time-independent formulations are presented, the latter being a generalization of the Lippmann-Schwinger equation. For the two-body problem, we study the simple case of maximal symmetry which, equivalently, admits both single- and two-time formulations. The two-time formalism illustrates the main features of the general case of N> or =3 particles. Perturbation expansions are given for the wave function and for the S matrix. Their structure is similar to those in quantum field theory corresponding to skeleton diagrams.

• Research Organization: Eidgenoessische Technische Hochschule, Hoenggerberg, CH 8093 Zuerich, Switzerland
• OSTI ID: 6366856
• Journal Information: Phys. Rev. D; (United States), Journal Name: Phys. Rev. D; (United States) Vol. 26:12; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
645500 -- High Energy Physics-- Scattering Theory-- (-1987)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
EQUATIONS
FIELD THEORIES
GENERAL RELATIVITY THEORY
HAMILTONIANS
INTEGRAL EQUATIONS
LIPPMANN-SCHWINGER EQUATION
MANY-BODY PROBLEM
MATHEMATICAL OPERATORS
MATRICES
PERTURBATION THEORY
QUANTUM FIELD THEORY
QUANTUM OPERATORS
RELATIVITY THEORY
S MATRIX
SCATTERING
TIME DEPENDENCE
TWO-BODY PROBLEM