ANALYTIC CHARACTERIZATION OF ONE-MODE INTERACTING FOCK SPACE-Reference-Cited by-同舟云学术

ANALYTIC CHARACTERIZATION OF ONE-MODE INTERACTING FOCK SPACE

Published:2001-09 Issue:03 Volume:04 Page:409-415
ISSN:0219-0257
Container-title:Infinite Dimensional Analysis, Quantum Probability and Related Topics
language:en
Short-container-title:Infin. Dimens. Anal. Quantum. Probab. Relat. Top.

Author:

ASAI NOBUHIRO¹

Affiliation:

1. International Institute for Advanced Studies, Kizu, Kyoto 619-0225, Japan

Abstract

In this paper, we shall give the Segal–Bargmann representation space of the one-mode interacting Fock space. For this purpose, we shall define the generalized coherent vector associated with the Szegö–Jacobi parameters and introduce the associated integral transformation.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Mathematical Physics,Statistics and Probability,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S021902570100053X

Reference19 articles.

1. Interacting Fock Spaces and Gaussianization of Probability Measures

2. Notions of Independence Related to the Free Group

3. The Wigner semi-circle law in quantum electro dynamics

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