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Semiclassical matrix elements from periodic orbitsAn extension of Gutzwiller's (1967, 1969, 1970, 1971, 1990) semiclassical theory for chaotic systems that allows a determination of matrix elements in terms of classical periodic orbits. Associated zeta functions are derived. The semiclassical predictions are found to be in good agreement with Fourier transforms of quantum spectra of hydrogen in a magnetic field. Expressions for off-diagonal matrix elements are derived that are extensions of the Bohr correspondence relations for integrable systems.
Document ID
19920046936
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
Eckhardt, B.
(Marburg, Universitaet Federal Republic of Germany, United States)
Fishman, S.
(Technion - Israel Institute of Technology Haifa, United States)
Mueller, K.
(NASA Headquarters Washington, DC United States)
Wintgen, D.
(Max-Planck-Institut fuer Kernphysik Heidelberg, Federal Republic of Germany, United States)
Date Acquired
August 15, 2013
Publication Date
March 15, 1992
Publication Information
Publication: Physical Review A
Volume: 45
ISSN: 1050-2947
Subject Category
Physics (General)
Accession Number
92A29560
Funding Number(s)
CONTRACT_GRANT: DFG-SFB-237
CONTRACT_GRANT: NSF PHY-82-17853
CONTRACT_GRANT: DFG-SFB-185
Distribution Limits
Public
Copyright
Other

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