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Scalar symmetry of the massless Dirac equation

G J Clerk and B H J McKellar

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The existence of a symmetry of the Dirac equation for a massless particle in a scalar field is demonstrated, and its effect on the bandstructure of certain arrays of scalar delta -function potentials is investigated. The implications of the symmetry for more general scalar potentials are also discussed.


PACS

03.65.Pm Relativistic wave equations

02.30.-f Function theory, analysis

MSC

81Q05 Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other quantum-mechanical equations

Subjects

Mathematical physics

Quantum information and quantum mechanics

Dates

Issue 13 (7 July 1992)



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