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Dirac quantisation of a massive spin-3/2 particle coupled with a magnetic field

A Hasumi, R Endo and T Kimura

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The canonical quantisation of the massive spin-3/2 field coupled with the external electromagnetic field is carried out by the use of Dirac's Hamiltonian method. It is shown that the quantisation can be achieved even when the magnetic field has such a strength that the secondary constraint equation cannot be employed freely. In this case, the equal-time anticommutation relation between the field operator and its Hermite conjugate contains the fourth-order derivatives of the three-dimensional delta function.


PACS

03.65.-w Quantum mechanics

MSC

70H05 Hamilton's equations

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

81S10 Geometry and quantization, symplectic methods (See also 53D50)

78A25 Electromagnetic theory, general

Subjects

Quantum information and quantum mechanics

Dates

Issue 8 (August 1979)



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