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Excitations in Organic Solids$
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Vladimir Agranovich

Print publication date: 2008

Print ISBN-13: 9780199234417

Published to Oxford Scholarship Online: January 2009

DOI: 10.1093/acprof:oso/9780199234417.001.0001

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Statistics and Collective Properties of Frenkel Excitons

Statistics and Collective Properties of Frenkel Excitons

Chapter:
(p.423) 15 STATISTICS AND COLLECTIVE PROPERTIES OF FRENKEL EXCITONS
Source:
Excitations in Organic Solids
Author(s):

Vladimir M. Agranovich

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780199234417.003.0015

This chapter describes the approximate second quantization and approximate transition to boson picture. Using exact transformation from paulions to bosons, the collective properties of an ideal three-dimensional gas of paulions are considered. The statistics and the collective properties of Frenkel excitons are discussed, taking into account the dynamic exciton-exciton interaction. The fermionic character of Frenkel excitons in one-dimensional molecular crystals is demonstrated.

Keywords:   approximate second quantization, paulions, bosons, collective properties, exciton-exciton interaction, one-dimensional molecular crystals

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