Diagonal forms of the Dirac Hamiltonian

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

DOI:https://doi.org/10.1103/PhysRevD.14.3358· OSTI ID:7340182

Moss, R E; Okninski, A

A method is described for obtaining a class of unitary transformations that bring the Dirac Hamiltonian for the free electron into diagonal form which may be decoupled with respect to the positive and negative states of an appropriate Hermitian operator; the class includes those described recently by Weaver. The Dirac equation for an electron with an anomalous magnetic moment in a constant magnetic field is also diagonalized. The use of the even/odd concept to indicate the suitability of a Hamiltonian form for nonrelativistic/ultrarelativistic problems is questioned. (AIP)

• Research Organization: Chemistry Department, The University, Southampton, S09 5NH, England
• OSTI ID: 7340182
• Journal Information: Phys. Rev., D; (United States), Journal Name: Phys. Rev., D; (United States) Vol. 14:12; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645202* -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- Electromagnetic Interactions & Properties
657002 -- Theoretical & Mathematical Physics-- Classical & Quantum Mechanics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
DIFFERENTIAL EQUATIONS
DIRAC EQUATION
ELECTRONS
ELEMENTARY PARTICLES
EQUATIONS
FERMIONS
HAMILTONIANS
HERMITIAN OPERATORS
LEPTONS
MAGNETIC MOMENTS
MATHEMATICAL OPERATORS
QUANTUM OPERATORS
SYMMETRY
UNITARY SYMMETRY
WAVE EQUATIONS