Rigged Hilbert space of the free coherent states and p-adic numbers
Mathematical Physics
2014-11-18 v1 math.MP
Abstract
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.
Keywords
Cite
@article{arxiv.math-ph/0205009,
title = {Rigged Hilbert space of the free coherent states and p-adic numbers},
author = {S. V. Kozyrev},
journal= {arXiv preprint arXiv:math-ph/0205009},
year = {2014}
}
Comments
12 pages, LaTeX