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Macro-orbitals and microscopic theory of a system of interacting bosons | | Yatendra S. Jain
; | | Date: |
22 Jun 2006 | | Subject: | Soft Condensed Matter | | Abstract: | Macro-orbital representation of a particle (detailed account given in cond-mat/0603784) has been used to develop the microscopic theory of a system of interacting bosons. It concludes that: (i) below certain temperature (say, $T_{lambda}$), particles assume a state of (q, -q) bound pairs, (ii) the $lambda-$transition is a consequence of inter-particle quantum correlations clubbed with zero-point repulsion and inter-particle attraction and represents an onset of the order-disorder of particles in their $phi-$space followed simultaneously by their BEC as (q, -q) bound pairs in a state of q = $q_o = pi/d$ and K = 0, (iii) particles at $T le T_{lambda}$ acquire collective binding which locks them at <k> = 0, <r> = $lambda/2$ and $Deltaphi = 2npi$ (with n = 1, 2, 3, ...), (iv) the entire system assumes mechanical strain in inter-particle bonds and behaves like a single macroscopic molecule, (v) there exists an energy gap between the superfluid and normal fluid phases of the system, (vi) the $lambda-$transition represents the twin phenomena of broken gauge symmetry and phase coherence, (vii) the system does not have p = 0 condensate, (viii) a new kind of quantum quasi-particle "omon" (a phononlike wave of the oscillations of the momentum coordinates of particles) exists in superfluid phase, etc. It explains the properties of He-II, including the origin of quantized vortices, critical velocities, logarithmic singularity of specific heat, etc. at quantitative level and provides microscopic foundation to two fluid theory, $Psi-$theory, idea of macroscopic wave function, etc. The framework of the theory can unify the physics of interacting bosons and fermions. | | Source: | arXiv, cond-mat/0606571 | | Services: | Forum | Review | PDF | Favorites | |
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