Noninstantaneous O(v/c) relativistic effects in bound states and a covariant Schroedinger equation

Journal Article · Tue Apr 15 00:00:00 EST 1980 · Phys. Rev., D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.21.2406· OSTI ID:5447737

Fishbane, P M; Namyslowski, J M

The noninstantaneous and nonlocal interactions which follow from Weinberg-type dynamics are found to produce v/c relativistic corrections to potentials which are nonrelativistic limits of certain field-theoretic dynamics. Such corrections may be applicable in, for example, phenomenological models of charmonium. These interactions are driving terms in a covariant three-dimensional two-body integral equation derivable from field theory. For bound systems this equation is a fully covariant Schroedinger equation, with spacelike relative momentum and a proper angular resolution. We study this equation, including its systematic relativistic corrections, in various limits based on scalar-particle-exchange dynamics. We compare and contrast it to a related but different three-dimensional equation derivable from field theory which represents an equal-time projection. We also comment on other approaches to the relation between relativistic and nonrelativistic dynamics.

• Research Organization: Physics Department, University of Virginia, Charlottesville, Virginia 22901
• OSTI ID: 5447737
• Journal Information: Phys. Rev., D; (United States), Vol. 21:8
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
QUANTUM FIELD THEORY
BOUND STATE
CORRECTIONS
SCHROEDINGER EQUATION
ASYMPTOTIC SOLUTIONS
BETHE-SALPETER EQUATION
CHARMONIUM
COUPLING CONSTANTS
GREEN FUNCTION
NONLOCAL POTENTIAL
PERTURBATION THEORY
RELATIVISTIC RANGE
RELATIVITY THEORY
S MATRIX
TIME DEPENDENCE
DIFFERENTIAL EQUATIONS
ENERGY RANGE
EQUATIONS
FIELD THEORIES
FUNCTIONS
GENERAL RELATIVITY THEORY
MATRICES
POTENTIALS
QUARKONIUM
WAVE EQUATIONS
645400* - High Energy Physics- Field Theory
657002 - Theoretical & Mathematical Physics- Classical & Quantum Mechanics