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Inverse Spectral Theory and Incommensurate Peierls Phases
Author(s) -
Mertsching J.
Publication year - 1985
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.2221290123
Subject(s) - inverse , simple (philosophy) , operator (biology) , spectral gap , spectral theory , band gap , polaron , physics , condensed matter physics , mathematics , mathematical analysis , quantum mechanics , chemistry , geometry , electron , biochemistry , repressor , transcription factor , gene , philosophy , epistemology , hilbert space
A simple version of the inverse spectral theory for finite‐gap potentials of the Hermitean Zhakarov‐Shabat operator is presented, and the kink and polaron structures in quasi‐one‐dimensional systems with a nearly half‐filled band are discussed in terms of this theory. The gap equation for one kink band in systems with a nearly 1/3‐filled band is solved for special parameters, but no general finite‐gap solution is found in this case.