Relativistic Bethe-Salpeter harmonic oscillator

Journal Article · Thu Nov 15 00:00:00 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), Vol. 20:10
• Country of Publication: United States
• Language: English

Related Subjects

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