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Difference Equations in the Theory of Biphonons
Author(s) -
Jäger E.,
Mossa M.,
Hehl K.
Publication year - 1988
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.2221490111
Subject(s) - ansatz , chain (unit) , mathematics , series (stratigraphy) , energy (signal processing) , bound state , mathematical analysis , physics , mathematical physics , quantum mechanics , paleontology , biology
Using the method of difference equations the bound states of excitations in a linear chain are investigated. It is possible to obtain solutions of the partial difference equations and the energy of “biphonons” by a separation ansatz. The method of power series expansion is not so successful. The spectrum of the states with two phonons in two coupled linear chains (as a model of the system film‐substrate) is investigated additionally.