GENERAL ESTIMATES ON DISTORTED RESOLVENTS AND APPLICATION TO STARK HAMILTONIANS-Reference-Cited by-同舟云学术

GENERAL ESTIMATES ON DISTORTED RESOLVENTS AND APPLICATION TO STARK HAMILTONIANS

Published:1996-07 Issue:05 Volume:08 Page:639-653
ISSN:0129-055X
Container-title:Reviews in Mathematical Physics
language:en
Short-container-title:Rev. Math. Phys.

Author:

BRIET PHILIPPE¹

Affiliation:

1. Centre de Physique Théorique Unité Propre de Recherche 7061, CNRS, Luminy, Case 907 F-13288 Marseille Cedex 9, France

Abstract

We give a method to obtain estimates on distorted resolvents which we apply to the Stark effect with general potentials. This paper also contains a geometric perturbation theory which together with the estimates mentioned above, shows the existence of resonances and gives an upper bound on the width of resonances in various situations.

Publisher

World Scientific Pub Co Pte Lt

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129055X96000214

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