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  • The most practical ensemble is the canonical ensemble with N, V, and T fixed.[1]
  • This chapter derives the canonical ensemble, which is arguably the most important concept in quantum statistical mechanics.[2]
  • A canonical ensemble does not evolve over time, despite the fact that the underlying system is in constant motion.[3]
  • Example of canonical ensemble for a quantum system consisting of one particle in a potential well.[3]
  • A canonical ensemble for this system, for the temperature shown.[3]
  • Example of canonical ensemble for a classical system consisting of one particle in a potential well.[3]
  • The advantage of the canonical ensemble should now be apparent.[4]
  • We have derived the properties of the canonical ensemble using a Taylor expansion of the entropy.[5]
  • The grand-canonical ensemble is for "open" systems, where the number of particles, , can change.[6]

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  • [{'LOWER': 'canonical'}, {'LEMMA': 'ensemble'}]