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Three-dimensional analog of the Tomonaga model of a system of interacting Fermi particles

T. N. AntsyginaPhysicotechnical Institute of Low Temperatures, Academy of Sciences of the Ukrainian SSRV. A. SlyusarevPhysicotechnical Institute of Low Temperatures, Academy of Sciences of the Ukrainian SSR
ABI

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A model is proposed for a system of interacting Fermi particles which is a three-dimensional analog of the Tomonaga model. The thermodynamic functions and particle momentum distribution functions are computed. It is shown that, in contrast to the one-dimensional Tomonaga model, the jump in the distribution function on the Fermi surface is conserved in the three-dimensional case. The possibility of describing the properties of He3 in superfluid He4 within the framework of the proposed model is discussed.

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