Rigged Hilbert space of the free coherent states and p-adic numbers

Details Rigged Hilbert space of the free coherent states and p-adic numbers Rigged Hilbert space of the free coherent states and p-adic numbers

2002-05-07

arxiv.org/abs/math-ph/0205009v1

Theor. Math. Physics, 135(2) 2003, 642-650

Physics

Mathematical Physics

12 pages, LaTeX

Scientific paper

Rigged Hilbert space of the free coherent states is investigated. We prove that this rigged Hilbert space is isomorphous to the space of generalized functions on p-adic disk. We discuss the relation of the described isomorphism of rigged Hilbert spaces and noncommutative geometry and show, that the considered example realises the isomorphism of the noncommutative line and p-adic disk.

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