Spectra of finite systems a review of Weyl"s problem, the eigenvalue distribution of the wave equation for finite domains and its applications on the physics of small systems by Heinrich P. Baltes

Cover of: Spectra of finite systems | Heinrich P. Baltes

Published by Bibliographisches Institut in Mannheim, Wien, Zürich .

Written in English

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  • Weyl"s problem.

Edition Notes

Book details

StatementHeinrich P. Baltes, unter Mitarb. von Eberhard R. Hilf.
ContributionsHilf, E. R. joint author.
LC ClassificationsQC174.26.W28 B34
The Physical Object
Pagination116, 20 p. ;
Number of Pages116
ID Numbers
Open LibraryOL4634148M
ISBN 103411014911
LC Control Number77465744

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Spectra of Finite Systems: A Review of Weyl's Problem, the Eigenvalue Distributi [Heinrich P.; Hilf, E.R. Baltes] on *FREE* shipping on qualifying offers. Spectra of Finite Systems.

Authors: Heinrich P. Baltes Eberhard R. Hilf Phone: +(0) Fax: +(0) Files: Date: Book: published in. This option allows users to search by Publication, Volume and Page Selecting this option will search the current publication in context. Selecting this option will search all publications across the Scitation platform Selecting this option will search all publications for the Publisher/Society in contextCited by: Spectra of Finite Systems A Review of Weyl`s Problem: The Eigenvalue Distribution of the Wave Equation for Finite Domains and its Applications on the physics of small systems.

Authors: H. Baltes Eberhard R. Hilf Phone: +(0) Fax: +(0) Files: Date:   Carter R. W., Finite Groups of Lie acy Classes and Complex Characters, John Wiley and Sons, Chichester, New York, etc.

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We firstly obtain the adjacency matrix and the characteristic polynomial as well as the spectra for a k-regular graph or (finite) Bethe lattice with k = 3 (the largest eigenvalue being around 5).After verification of k = 3 results with those obtained.

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These materials constrained by sire, shape, and. Possible energy spectra of systems constructed from finite bethe lattices Highlights•Our approach could be applied to inclusion compounds formed between guest polymers and host systems.•We calculate spectra of adjacency matrices considering finite Bethe lattices.•Our k=9 results are beyond Balasubramanian’s tree pruning approach.•We illustrate numerical results for k=3 and k=9 finite.

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The results have been used to gain information about certain qualitative features of the spectra for infinite systems by extrapolation. We have found that the continua of either the singlet or triplet excitations are not separated by a finite gap from the ground state in the case of the triangular lattice, while there is a large singlet gap for.

the spectra are a series of lines, and hence are often called line spectra. (In MATLAB the program stem should be used instead of plot to produce these line spectra.) Sometimes the spectra are plotted against k rad/s and other times they are plotted against f k = k /2 Hz.

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