A non-Fock fermion toy model
"A non-Fock fermion toy model."
Available online (free of charge) from e-print archive (USA):
or its Israeli mirror:
A research preprint, 15 pages, 2 figures, bibl. 10 refs.
Recent progress in mathematical theory of random processes provides us with non-Fock product systems (continuous tensor products of Hilbert spaces) used here for constructing a toy model for fermions. Some state vectors describe infinitely many particles in a finite region; the particles accumulate to a point. Electric charge can be assigned to the particles, the total charge being zero. Time dynamics is not considered yet, only kinematics (a single time instant).
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