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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

Excitations in Organic Solids

Vladimir M. Agranovich

Oxford University Press

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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