Macroscopically Inhomogeneous Bose-Einstein Condensation
Supra-fluid 4He is commonly regarded as an example for Bose Einstein condensation, since the particles are almost free of interaction. The first approach towards the theoretical description in operator-algebraic terms was done by Araki and Woods 1963, . To recover the classical observables of condensate it is necessary to calculate the limiting Gibbs state. This was first done by Lewis and Pulé 1973, . Other investigations including external potentials followed (, ), the limiting Gibbs state however was only calculated for special potentials. The purpose of this paper is to handle general potentials and to introduce an explicit macroscopically inhomogeneous formalism. This work is an improvement and continuation of .
KeywordsDensity Operator Bose Einstein Condensation Critical Density Classical Observable Effective Chemical Potential
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