Remarks on Bloch's Method of Sound Waves applied to Many-Fermion Problems

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ID: 294616
1950
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Abstract
The fact implied by Bloch several years ago that in some approximate sense the behavior of an assembly of Fermi particles can be described by a quantized field of sound waves in the Fermi gas, where the sound field obeys Bose statistics, is proved in the one-dimensional case. This fact provides us with a new possibility of treating an assembly of Fermi particles in terms of the equivalent assembly of Bose particles, namely, the assembly of sound quanta. The field equation for the sound wave is found to be linear irrespective of the absence or presence of mutual interaction between particles, so that this method is a very useful means of dealing with many-Fermion problems. It is also applicable to the case where the interparticle force is not weak. In the case of force of too short a range this method fails.
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openalex_W2048447200 Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors S.-i. Tomonaga
Journal progress of theoretical physics
Year 1950
DOI
10.1143/ptp/5.4.544
URL
https://doi.org/10.1143/ptp/5.4.544
Keywords Keywords not found

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