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First-order Dirac symmetry operators

I M Benn1 and J M Kress2

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We show how, for all dimensions and signatures, the most general first-order linear symmetry operator for the massive Dirac equation is given in terms of Killing–Yano tensors. In the massless case the Killing–Yano condition is relaxed to the conformal Killing–Yano generalization.


PACS

03.65.Pm Relativistic wave equations

02.30.Tb Operator theory

MSC

34L40 Particular operators (Dirac, one-dimensional Schrödinger, etc.)

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 2 (21 January 2004)

Received 3 July 2003

Published 5 December 2003



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