@inbook{b159e1f0db6640b3be909172b7c1d606,
title = "Noisy bases in Hilbert space: A new class of thermal coherent states and their properties",
abstract = "Coherent mixed states (or thermal coherent states) associated with the displaced harmonic oscillator at finite temperature, are introduced as a 'random' (or 'thermal' or 'noisy') basis in Hilbert space. A resolution of the identity for these states is proved and used to generalize the usual coherent state formalism for the finite temperature case. The Bargmann representation of an operator is introduced and its relation to the P and Q representations is studied. Generalized P and Q representations for the finite temperature case are also considered and several interesting relations among them are derived.",
keywords = "Bargmann operator; harmonic oscillators; Hilbert space; squeezed states (quantum theory); coherent radiation; thermal noise",
author = "A Vourdas and RF Bishop",
year = "1995",
language = "English",
series = "NASA Confererence Publication 3286",
publisher = "National Aeronautics \& Space Administration",
pages = "195--206",
editor = "D Han and KB Wolf",
booktitle = "Proceedings of the Second International Workshop on Harmonic Oscillators",
address = "United States",
}