eFTC140801
Statistical Distributions and ParticleHole Canonical Transformations in Small (Finite) Systems 

Author: Y. Leblanc (eFieldTheory.COM) Email: AbstractIn a previous paper we successfully identified the fermionic tilde degrees of freedom in Thermo Field Dynamics (TFD) as ordinary manybody physical fermion holes. In this paper we analyze the more general problem of statistical distributions and particlehole canonical transformations in small (finite) systems, both for bosons and fermions. Unlike the fermion distribution case which is wellbehaved, singularities and lack of singlevaluedness plague the traditional BoseEinstein distribution. Such a distribution cannot describe the BoseEinstein condensed state. A microcanonical approach on the other hand reveals a wellbehaved distribution over the entire energy spectrum (positive and negative) and so allows for the existence of physical bosonic holes which are necessary in TFD. The traditional BoseEinstein distribution is recovered in the thermodynamic limit for positive energies. Bosonic holes are found in many physical problems of condensed matter as well as nuclear physics. Copyright Â© 2014 Yvan Leblanc. All rights reserved
PACS: 05.30.Ch, 03.70.+k, 11.10.Gh Cite as: Leblanc, Y., "Statistical Distributions and ParticleHole Canonical Transformations in Small (Finite) Systems", manuscript no. eFTC140801 (2014). http://www.efieldtheory.com/abs/?eFTC140801; doi:10.13140/RG.2.1.1261.2960. 





