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Author Baranger, Michel ♦ Koster, F. ♦ Haggerty, Michael Richard ♦ Haggerry, Michael Richard
Source CiteSeerX
Content type Text
File Format PDF
Subject Domain (in DDC) Computer science, information & general works ♦ Data processing & computer science
Abstract This paper is organized as follows: Section 2.1 outlines the idea of Bogomolny that is the subject of this paper. Section 2.2 develops various expressions for T which offer a somewhat different perspective on its operation, and which translate directly into an algorithm for computing T. Section 2.3 shows how to take advantage of a mirror symmetry when computing T. Section 2.4 estimates the effort needed to apply Bogomolny's method, as compared with traditional methods. Section 2.5 explains a trick which enables Bogomolny's theory to be verified with less numerical effort than a naive approach would require. Chapter 3 discusses the nature of eigenclassicity problems in general, and provides details of how the exact eigenclassicity spectrum was calculated for the Nelson2 system. Section 4.1 introduces the model system to which we applied Bogomolny's method. Section 4.2 gives some of the behind-the- scenes details about our implementation of the semiclassical computation. Section 4.3 qualitatively describes the behavior of the eigenvalues of the T operator. Section 4.4 presents the eigenclassicity spectra produced by Bogomolny's method, and compares them to exact spectra in both the regular and the chaotic regime. Section 4.5 tells how the surface of section wavefunctions can be obtained from the theory, and makes some comments about how well they are predicted. Finally, Chapter 5 discusses a way to extract information about which classical trajectories have the strongest influence on particular quantum eigenstates
Educational Role Student ♦ Teacher
Age Range above 22 year
Educational Use Research
Education Level UG and PG ♦ Career/Technical Study
Learning Resource Type Article
Publisher Date 1994-01-01