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Bogoliubov transformation for distinguishable particles


 
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1. Title Title of document Bogoliubov transformation for distinguishable particles
 
2. Creator Author's name, affiliation, country M. Holzmann; Laboratoire de Physique de l'ENS,. LKB and LPS, 24 rue Lhomond, F-75005 Paris; France
 
2. Creator Author's name, affiliation, country F. Laloë; Laboratoire de Physique de l'ENS,. LKB and LPS, 24 rue Lhomond, F-75005 Paris; France
 
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4. Description Abstract

The Bogoliubov transformation is generally derived in the context of identical bosons with the use of "second quantized" a and a† operators (or, equivalently, in field theory). Here, we show that the transformation, together with its characteristic energy spectrum, can also be derived within the Hilbert space of distinguishable particles, obeying Boltzmann statistics; in this derivation, ordinary dyadic operators play the rote usually played by the a and a† operators; therefore, breaking the symmetry of particles conservation is not necessary.

 
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7. Date (YYYY-MM-DD) 09-03-2011
 
8. Type Status & genre Peer-reviewed Article
 
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9. Format File format PDF
 
10. Identifier Uniform Resource Identifier https://revues.imist.ma/index.php/MJCM/article/view/54
 
11. Source Title; vol., no. (year) Moroccan Journal of Condensed Matter; Vol 3 (2000)
 
12. Language English=en en
 
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15. Rights Copyright and permissions Copyright (c)