Unified Microscopic Theory of a System of Interacting Bosons

Abstract

This paper reports the unified microscopic theory of a system of interacting bosons such as liquid $^4He$.Each particle in the system represents a $(q;-q)$ pair moving with a centre of mass momentum K.Particles form bound pairs below $λ$-point and have a kind of collection binding between them.The binding is idenified as an energy gap between the superfluid and the normal states of the system.The $λ$-transition is a consequence of interparticle quantum correlations.It follows an order-disoder of particles in their phase structure as well as the onset of Bose_ Einstein condensatin in the state of $q=π/d$ and K=0.In addition to the well known modes of collective motion such as photons,rotons, maxons etc.,the superfluid state also exhibits a new kind of quasi-particle,omon,characterised by a phononlike wave of the oscillations of the momentum coordinates of the particle.The theory explains the properties of $He-II$ at quantitative level and vindicates the two-fluid theory of Landau.The paper finally describes the way this theory could help in understanding the superfluidity of 1-D and 2-D systems.It also analyses the possibility of applying this approach to develop similar framework for a fermion system including an atomic nucleus.