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Article Dans Une Revue Moroccan Journal of Statistical Physics Année : 2000

Bogolubov transformation for distinguishable particles

Franck Laloë
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Résumé

The Bogoliubov transformation is generally derived in the context of identical bosons with the use of "second quantized'' $a$ and $a^{\dagger}$ 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 role usually played by the $a$ and $a^{\dagger}$ operators; therefore, breaking the symmetry of particle conservation is not necessary.
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Dates et versions

hal-00001408 , version 1 (19-11-2017)

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Markus Holzmann, Franck Laloë. Bogolubov transformation for distinguishable particles. Moroccan Journal of Statistical Physics, 2000, 3, pp.1. ⟨hal-00001408⟩
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