## B. Tsirelson | ## A non-Fock fermion toy model | ## Recent works |

Boris Tsirelson,

"A non-Fock fermion toy model."

hep-th/9912031.

Available online (free of charge) from e-print archive (USA):

arXiv.org/abs/hep-th/9912031/

or its Israeli mirror:

xxx.tau.ac.il/abs/hep-th/9912031/

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).

- Introduction.
- The idea.
- The model.
- Toward more realistic models.

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