Quantum relativistic theory of an electron in terms of local observables |
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Authors: | J des Cloizeaux |
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Institution: | (1) Laboratoire de Physico-Chimie Théorique, ESPCI, 10 rue Vauquelin, 75231 Paris Cedex 05, France et La Cointrie, 61340 Saint Aubin des Grois, France, FR |
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Abstract: | Dirac equation is reformulated in terms of real local observables, which are mean values of the wave function . The quadrivector current is shown to be a function of the potential vector and of other local observables. The equations
describe the evolution of a four dimensional system T, X, Y, Z, and of two scalars, in the coordinate system ct, x, y, z. The current is proportional to the T vector. The Z vector is associated with the spin of the electron. Energy and gauge transformations correspond to rotations in the plane
(X, Y). In the presence of a static field, the (real) solutions of the equations appear as eigenfunctions associated with energy
eigenvalues.
Received 7 September 1998 |
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Keywords: | PACS 03 65 Bz Foundations theory of measurement miscellaneous theories (including Aharonov Bohm effect Bell inequalities Berry's phase) - 03 65 Pm Relativistic wave equations - 05 30 -d Quantum statistical mechanics |
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