Relativistic Bethe-Salpeter harmonic oscillator

Journal Article · Thu Nov 15 04:00:00 EST 1979 · Phys. Rev., D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.20.2532· OSTI ID:5727787

Henley, J R

A kernel is proposed for the Bethe-Salpeter equation for bosons that leads to an ordinary second-order linear differential equation in momentum space. The weak-coupling limit of this equation explicitly reduces to the Schroedinger equation for the simple harmonic oscillator. The relative energy dependence of the Bethe-Salpeter amplitude does not admit timelike excitations, nor are there anomalous solutions of any kind. We conclude that this model can be interpreted as a relativistic harmonic oscillator without spin.

• Research Organization: Department of Physics, B-019, University of California, San Diego, La Jolla, California 92093
• OSTI ID: 5727787
• Journal Information: Phys. Rev., D; (United States), Journal Name: Phys. Rev., D; (United States) Vol. 20:10; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645201* -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- General & Scattering Theory
645400 -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BETHE-SALPETER EQUATION
BOSONS
DELTA FUNCTION
DIFFERENTIAL EQUATIONS
ENERGY DEPENDENCE
ENERGY RANGE
EQUATIONS
FIELD THEORIES
FUNCTIONS
HARMONIC OSCILLATORS
KERNELS
MATHEMATICAL MODELS
NUCLEAR MODELS
NUCLEAR POTENTIAL
PERTURBATION THEORY
POTENTIALS
QUANTUM FIELD THEORY
RELATIVISTIC RANGE
SCHROEDINGER EQUATION
WAVE EQUATIONS
WEAK-COUPLING MODEL
YUKAWA POTENTIAL