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quant-ph2004
Analytic Representation of The Dirac Equation
T. L. Gill, W. W. Zachary
In this paper we construct an analytical separation (diagonalization) of the full (minimal coupling) Dirac equation into particle and antiparticle components. The diagonalization i…
quant-ph2004
Analytic Representation of The Square-Root Operator
T. L. Gill, W. W. Zachary
In this paper, we use the theory of fractional powers of linear operators to construct a general (analytic) representation theory for the square-root energy operator of relativisti…