TL;DR
This paper explores the geometric structure of coherent states in CCR algebras, providing explicit formulas for transition amplitudes and advancing understanding of quasifree states' quasi-equivalence.
Contribution
It introduces a geometric perspective on coherent states of CCR algebras and derives explicit formulas for transition amplitudes, extending previous quasifree state results.
Findings
Explicit formula for transition amplitudes among coherent states
Geometric characterization of square roots of coherent states
Insights into quasi-equivalence of quasifree states
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 quasifree states and will provide a new insight into quasi-equivalence problems of quasifree states.
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