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Non‐conservation of frenkel excitons and bound states
Author(s) -
Maeinković M. M.,
Tošarić B. S.
Publication year - 1975
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.2220670203
Subject(s) - pauli exclusion principle , representation (politics) , exciton , statistical physics , order (exchange) , quasiparticle , spectrum (functional analysis) , physics , relation (database) , quantum mechanics , mathematics , theoretical physics , computer science , superconductivity , finance , database , politics , political science , law , economics
A new method which is characterized by a clean approach and high efficiency is proposed for the analysis of bound states in systems that do not conserve the number of quasiparticles. This approach observes fully the specific commutation relation belonging to Pauli operators. Its efficiency made it possible to calculate the energy spectrum of biexcitons in a higher order of approximation than in previous papers and avoids some of their errors. The calculations are performed using the Dyson‐Maleev Bose representation of Pauli operators as well, in order to settle a fair estimate of the fitness of this representation for the analysis of non‐conservative systems of Prenkel excitons. In the linear approximation a full agreement is found with the Dyson‐Maleev approach. In higher approximation, as could be expected, Dyson‐Maleev representation does not yield correct results. Finally the critic is directed to the uncritical application of some previous approaches and the possible cause of errors to which such applications led is discussed.