asymptotic exactness of c-number substitution in bogolyubov's theory of superfluidity

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ID: 181681
2010
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Ranked #53 of 71 articles by views in conference on human factors in computing systems - proceedings

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Abstract
The Bogolyubov model of liquid helium is considered. The validity of substituting a c-number for the k=0 mode operator â0 is established rigorously. The domain of stability of the Bogolyubov's Hamiltonian is found. We derive sufficient conditions which ensure the appearance of the Bose condensate in the model. For some temperatures and some positive values of the chemical potential, there is a gapless Bogolyubov spectrum of elementary excitations, leading to a proper microscopic interpretation of superfluidity.
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jr.2010condensedasymptotic Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors ;N.N. Bogolyubov, Jr.;D.P. Sankovich
Journal conference on human factors in computing systems - proceedings
Year 2010
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