GROUND STATE PROPERTIES OF THE NELSON HAMILTONIAN: A GIBBS MEASURE-BASED APPROACH-Reference-Cited by-同舟云学术

GROUND STATE PROPERTIES OF THE NELSON HAMILTONIAN: A GIBBS MEASURE-BASED APPROACH

Published:2002-02 Issue:02 Volume:14 Page:173-198
ISSN:0129-055X
Container-title:Reviews in Mathematical Physics
language:en
Short-container-title:Rev. Math. Phys.

Author:

BETZ VOLKER¹,HIROSHIMA FUMIO²,LŐRINCZI JÓZSEF¹,MINLOS ROBERT A.³,SPOHN HERBERT¹

Affiliation:

1. Zentrum Mathematik, Technische Universität München, Gabelsbergerstr. 49, 80290 München, Germany

2. Department of Mathematics and Physics, Setsunan University, Osaka 572-8508, Japan

3. Dobrushin Mathematical Laboratory of the Institute for Information Transmission Problems of the Russian Academy of Sciences, Bol'shoy Karetny per. 19, Moscow, 101447, Russia

Abstract

The Nelson model describes a quantum particle coupled to a scalar Bose field. We study properties of its ground state through functional integration techniques in case the particle is confined by an external potential. We obtain bounds on the average and the variance of the Bose field both in position and momentum space, on the distribution of the number of bosons, and on the position space distribution of the particle.

Publisher

World Scientific Pub Co Pte Lt

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129055X02001119

Reference13 articles.

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2. Quantum Electrodynamics of Confined Nonrelativistic Particles

3. Pointwise bounds for Schr�dinger eigenstates

4. Existence of Dressed One Electron States in a Class of Persistent Models

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