Difference Equations in the Theory of Biphonons | Zendy

Jäger E. | Zendy; Mossa M. | Zendy; Hehl K. | Zendy

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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.

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