Justification of c-Number Substitutions in Bosonic Hamiltonians
arXiv:math-ph/0412023 · doi:10.1103/PhysRevLett.94.080401
Abstract
The validity of substituting a c-number for the mode operator is established rigorously in full generality, thereby verifying one aspect of Bogoliubov's 1947 theory. This substitution not only yields the correct value of thermodynamic quantities like the pressure or ground state energy, but also the value of that maximizes the partition function equals the true amount of condensation in the presence of a gauge-symmetry breaking term -- a point that had previously been elusive.
arXiv commentRevTeX4, 4pages; minor modifications in the text; final version, to appear in Phys. Rev. Lett
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