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October 15, 1962Physical Review

Theory of the Fermion Liquid

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Authors

FWF. Y. WuGuizhou Electromechanical Research and Design InstituteEFEugene FeenbergAustin College

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Overview

Theoretical modeling demonstrates ground-state properties of interacting fermion liquids via boson correlation functions, highlighting a quantitative bridge between quantum fluid behaviors.

Key Points

  • Formulate a microscopic theory to calculate ground-state properties of interacting fermion liquids using the wave function of an interacting boson system as a correlation factor.
  • Employed the ground-state wave function of an interacting boson system as a correlation factor within a trial fermion wave function.
  • Calculated expectation values using a generalized normalization integral technique and evaluated cluster integrals via approximate n-particle distribution functions.
  • Applied the formulation to low-density hard-sphere systems and utilized liquid helium-4 experimental data to model a hypothetical mass-4 fermion liquid.
  • Established an analytical connection between known low-density properties of hard-sphere fermion and boson systems.
  • Derived energy, effective mass, and magnetic susceptibility metrics for a hypothetical mass-4 fermion liquid from helium-4 empirical parameters.
  • Determined that applying the theory to liquid helium-3 requires empirical or evaluated radial distribution functions and structure factors for a mass-3 boson system.

Cite This Study

Wu et al. (1962) studied this question.

synapsesocial.com/papers/6a9a274bcbeb9500cf45aeadhttps://doi.org/10.1103/physrev.128.943
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