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BEC of free bosons on networks. (English) Zbl 1093.82003
In the paper free bosons jumping on an infinite graph (network) is considered. Using a random walk on a graph the condition for Bose-Einstein condensation is given. For bosons moving in an external periodic potential on a periodic lattice the criterion for Bose-Einstein condensation is obtained.

MSC:
82B10 Quantum equilibrium statistical mechanics (general)
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