Path-integral solutions of the Dirac equation

Journal Article · Thu Apr 15 04:00:00 EST 1976 · Phys. Rev., D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.13.2227· OSTI ID:7285495

Papadopoulos, G J; Devreese, J T

The feasibility of applying the path-integral formalism for solving the Dirac equation is shown in the case of a free particle for which the Dirac propagator is obtained by evaluating an appropriate path integral, directly constructed from the Dirac equation. Furthermore, the propagator for a Dirac electron in a constant magnetic field is indirectly obtained from the propagator of an auxiliary wave equation by evaluating a world-line (space-time path) integral. The spectrum of the Dirac equation is also, in this case, extracted from an auxiliary propagator. (AIP)

• Research Organization: Departement Natuurkunde, Universitaire Instelling Antwerpen, Universiteitsplein 1, 2610 Wilrijk, Belgium
• OSTI ID: 7285495
• Journal Information: Phys. Rev., D; (United States), Journal Name: Phys. Rev., D; (United States) Vol. 13:8; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANALYTICAL SOLUTION
DIFFERENTIAL EQUATIONS
DIRAC EQUATION
ELECTRODYNAMICS
ELECTRONS
ELEMENTARY PARTICLES
EQUATIONS
FERMIONS
FEYNMAN PATH INTEGRAL
FIELD THEORIES
INTEGRALS
LEPTONS
MAGNETIC FIELDS
PROPAGATOR
QUANTUM ELECTRODYNAMICS
QUANTUM FIELD THEORY
WAVE EQUATIONS