Symmetries of the massless Dirac equation in Minkowski space

Journal Article · Wed Dec 14 23:00:00 EST 1988 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.38.3837· OSTI ID:6860165

Durand, S; Lina, J; Vinet, L

All symmetries of the massless Dirac equation in Minkowski space are obtained by explicitly solving the conformal versions of the Killing, Penrose-Floyd, and Yano equations. In an arbitrary curved four-space, it is also shown that the dual of a conformal Yano tensor is a conformal Killing vector and that the set of conformal Penrose-Floyd tensors is stable under the dual map.

• Research Organization: Laboratoire de Physique Nucleaire, Universite de Montreal, C.P. 6128, Succ. A, Montreal, Quebec, Canada H3C 3J7
• OSTI ID: 6860165
• Journal Information: Phys. Rev. D; (United States), Journal Name: Phys. Rev. D; (United States) Vol. 38:12; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
DIFFERENTIAL EQUATIONS
DIRAC EQUATION
ELEMENTARY PARTICLES
EQUATIONS
FOUR-DIMENSIONAL CALCULATIONS
HAMILTONIANS
MASSLESS PARTICLES
MATHEMATICAL OPERATORS
MATHEMATICAL SPACE
METRICS
MINKOWSKI SPACE
PARTIAL DIFFERENTIAL EQUATIONS
QUANTUM OPERATORS
SPACE
SYMMETRY
WAVE EQUATIONS