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Reductions and exact solutions of a nonlinear Dirac equation

Journal Article · · Theor. Math. Phys.; (United States)
OSTI ID:6892035
;
Ansatzes are constructed by means of which Poincare-invariant equations for a spinor field Psi (x/sub 0/, x/sub 1/, x/sub 2/, x/sub 3/) are reduced to a system of differential equations for a four-component function phi(omega/sub 1/, omega/sub 2/, omega/sub 3/) of three invariant variables. Many-parameter families of exact solutions of the nonlinear Dirac equation are found, and P(1, 3)-inequivalent ansatzes for a vector field are constructed.
OSTI ID:
6892035
Journal Information:
Theor. Math. Phys.; (United States), Journal Name: Theor. Math. Phys.; (United States) Vol. 72:1; ISSN TMPHA
Country of Publication:
United States
Language:
English

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Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANGULAR MOMENTUM
DIFFERENTIAL EQUATIONS
DIRAC EQUATION
ELECTRODYNAMICS
EQUATIONS
FIELD THEORIES
INVARIANCE PRINCIPLES
LIE GROUPS
NONLINEAR PROBLEMS
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE PROPERTIES
POINCARE GROUPS
QUANTUM ELECTRODYNAMICS
QUANTUM FIELD THEORY
SCALE INVARIANCE
SPIN
SPINOR FIELDS
SPINORS
SYMMETRY GROUPS
VECTOR FIELDS
WAVE EQUATIONS
YANG-MILLS THEORY