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Diagonal forms of the Dirac Hamiltonian

Diagonal forms of the Dirac Hamiltonian 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Physical Review D American Physical Society (APS)

Diagonal forms of the Dirac Hamiltonian

Physical Review D , Volume 14 (12) – Dec 15, 1976
4 pages

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Publisher
American Physical Society (APS)
Copyright
Copyright © 1976 The American Physical Society
ISSN
1089-4918
DOI
10.1103/PhysRevD.14.3358
Publisher site
See Article on Publisher Site

Abstract

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.

Journal

Physical Review DAmerican Physical Society (APS)

Published: Dec 15, 1976

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