B. Tsirelson

A non-Fock fermion toy model

Recent works

Boris Tsirelson,
"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).

  1. Introduction.
  2. The idea.
  3. The model.
  4. Toward more realistic models.
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