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Unified Microscopic Theory of a System of Interacting Bosons

Statistical Mechanics 2007-05-23 v1

Abstract

This paper reports the unified microscopic theory of a system of interacting bosons such as liquid 4He^4He.Each particle in the system represents a (q;q)(q;-q) pair moving with a centre of mass momentum K.Particles form bound pairs below λ\lambda-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\lambda-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/dq={\pi}/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 HeIIHe-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.

Keywords

Cite

@article{arxiv.cond-mat/9712150,
  title  = {Unified Microscopic Theory of a System of Interacting Bosons},
  author = {Y. S. Jain},
  journal= {arXiv preprint arXiv:cond-mat/9712150},
  year   = {2007}
}

Comments

20 pages,LATEX