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Excitons and Cooper PairsTwo Composite Bosons in Many-Body Physics$
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Monique Combescot and Shiue-Yuan Shiau

Print publication date: 2015

Print ISBN-13: 9780198753735

Published to Oxford Scholarship Online: March 2016

DOI: 10.1093/acprof:oso/9780198753735.001.0001

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Elementary Bosons

Elementary Bosons

(p.390) 17 Elementary Bosons
Excitons and Cooper Pairs

Monique Combescot

Shiue-Yuan Shiau

Oxford University Press

Chapter 17 first considers noninteracting elementary bosons for zero and finite temperatures and then discusses the effects of temperature and space dimension on Bose-Einstein condensation. Condensation of massive bosons in a potential trap is also discussed. Next, the chapter discusses condensate fragmentation, showing that the condensate stability against momentum fragmentation requires the introduction of a boson-boson repulsive interaction: exchange processes between the two parts of the fragmented condensate provide a positive extensive contribution to the N-boson energy, which stabilizes the unfragmented condensate. By contrast, spin fragmentation can occur: the condensate is “spin fragmented,” that is, unpolarized, for same-spin bosons undergoing repulsive interactions. The effect of interaction on the elementary boson ground-state energy is also presented, with emphasis on the physical origin of the singularity of the boson correlation energy, and its similarity with the singularity of the electron correlation energy.

Keywords:   Bose-Einstein condensation, momentum fragmentation, spin fragmentation, condensate fragmentation, boson correlation energy, electron correlation energy

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