Scattering in constraint relativistic quantum dynamics

Journal Article · Wed Dec 15 00:00:00 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), Vol. 26:12
• Country of Publication: United States
• Language: English

Related Subjects

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