Supporting random wave models: a quantum mechanical approach

Urbina, Juan Diego and Richter, Klaus (2003) Supporting random wave models: a quantum mechanical approach. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 36 (38). L495-L502. ISSN 0305-4470

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Abstract

We show how two-point correlation functions recently derived within non-isotropic random wave models can be obtained in the appropriate limit in terms of the exact Green function of the quantum system. Since no statistical model is required for this derivation, this shows that taking the wavefunctions as Gaussian processes is the only assumption of those models. We also show how for clean systems the two-point correlation function based on an energy average defines a Gaussian theory which substantially reduces the spurious contributions coming from the normalization problem.

Item Type: Article
Uncontrolled Keywords: CHAOTIC EIGENFUNCTIONS; NODAL LINES;
Subjects: 500 Science > 530 Physics
Divisions: Physics > Institute of Theroretical Physics > Chair Professor Richter > Group Klaus Richter
Depositing User: Dr. Gernot Deinzer
Date Deposited: 29 Jul 2021 09:47
Last Modified: 29 Jul 2021 09:47
URI: https://pred.uni-regensburg.de/id/eprint/38595

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