
doi: 10.1007/bf00402826
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.
canonical variables, spinor bundle, Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics, Dirac's theory, Generalized coordinates; event, impulse-energy, configuration, state, or phase space for problems in mechanics, Applications of global differential geometry to the sciences, configuration space
canonical variables, spinor bundle, Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics, Dirac's theory, Generalized coordinates; event, impulse-energy, configuration, state, or phase space for problems in mechanics, Applications of global differential geometry to the sciences, configuration space
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