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Canonical variables for the Dirac theory. (English) Zbl 0571.53059
A new canonical structure for Dirac’s theory is proposed. The new configuration space A is a real, four-dimensional subbundle of the spinor bundle. A Lagrangian defined on Q describes a theory equivalent to the Dirac one. In this way we obtain a theory without second-type constraints.

MSC:
53C80 Applications of global differential geometry to the sciences
70G10 Generalized coordinates; event, impulse-energy, configuration, state, or phase space for problems in mechanics
81Q05 Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics
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