On a microscopic theory of liquid 3He

We present a microscopic calculation of the wave number dependent quasiparticle interaction and its variation with pressure in liquid ³He. Calculation of the variation of the Landau parameters F^s₀ and F^a₀ with pressure is also presented. The theory is capable of reproducing qualitatively some of the salient features seen in experiments in liquid ³He.     

A microscopic theory of vortices in superfluid helium

It is shown that the introduction of the depletion velocity field, the vortical part of the fluid velocity, is rooted on the nature of the field operators. This result is obtained by formulating the theory of vortices in terms of the vortex coordinates. The modified Hamilton-Jacobi equation leads to a generalization of the Schrödinger equation for a particle in the presence of a vortex line. It is shown that our theory is intimately related to the microscopic theory of Bose systems developed by Nishiyama. Mention is made of the close relation between the Higgs mechanism and a gauge-wheel in superfluid helium.     

Towards a microscopic theory of the metal-insulator transition

A perturbative analysis up to second order in the interaction strength is carried out for the single-particle density of states in a disordered Fermi system. The screening also is evaluated up to the first order. We discuss the implications of these calculations on the structure of the fixed-point equations for the metal-insulator transition.     

Microscopic theory of superfluid3He-superfluid4He solutions I. Derivation of hydrodynamic equations

The hydrodynamic equations for mixtures of superfluid³He and superfluid⁴He are derived on the basis of the microscopic theory proposed by Bogoliubov.