Free coherent states and $p$-adic numbers

Details Free coherent states and $p$-adic numbers Free coherent states and $p$-adic numbers

1997-01-11

arxiv.org/abs/q-alg/9701015v1

Mathematics

Quantum Algebra

5 pages, LATEX

Scientific paper

Free coherent states for a system with two degrees of freedom is defined.
Existence of the homeomorphism of the ring of integer 2-adic numbers to the set
of coherent states corresponding to an eigenvalue of the operator of
annihilation is proved. It is shown that the metric of free Fock space induces
the 2-adic topology on the set of coherent states.

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