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GEOMETRY OF COHERENT STATES OF CCR ALGEBRAS

SHIGERU YAMAGAMI

Graduate School of Mathematics, Nagoya University, Nagoya 464-8602, Japan

https://doi.org/10.1142/S0219025712500099Cited by:1 (Source: Crossref)

Abstract

Geometric positions of square roots of coherent states of CCR algebras are investigated along with an explicit formula for transition amplitudes among them, which is a natural extension of our previous results on quasi-free states and will provide a new insight into the quasi-equivalence problem on coherent states.

Dedicated to Shigeshiro on the occasion of his 77th birthday

Keywords:

AMSC: 46L60, 46L51

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