BOUND STATES FOR SCHRÖDINGER HAMILTONIANS: PHASE SPACE METHODS AND APPLICATIONS-Reference-Cited by-同舟云学术

BOUND STATES FOR SCHRÖDINGER HAMILTONIANS: PHASE SPACE METHODS AND APPLICATIONS

Published:1996-05 Issue:04 Volume:08 Page:503-547
ISSN:0129-055X
Container-title:Reviews in Mathematical Physics
language:en
Short-container-title:Rev. Math. Phys.

Author:

BLANCHARD PH.¹,STUBBE J.²³

Affiliation:

1. Theoretische Physik and BiBoS, Universität Bielefeld, D-33615 Bielefeld, Germany

2. Dept. de Physique Théorique, Université de Genéve, CH-1211 Geneve, Switzerland

3. Theory Division, CERN, CH-1211 Genéve 23, Switzerland

Abstract

Properties of bound states for Schrödinger operators are reviewed. These include: bounds on the number of bound states and on the moments of the energy levels, existence and nonexistence of bound states, phase space bounds and semi-classical results, the special case of central potentials, and applications of these bounds in quantum mechanics of many particle systems and dynamical systems. For the phase space bounds relevant to these applications we improve the explicit constants.

Publisher

World Scientific Pub Co Pte Lt

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129055X96000172

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