2006/06/22 by Yatendra S. Jain, Jain, Yatendra S. · 3 citations
Physics and Astronomy · #FOS: Physical sciences #Quantum, superfluid, helium dynamics #Soft Condensed Matter (cond-mat.soft) #cond-mat.soft
paper · pdf · doi:10.48550/arxiv.cond-mat/0606571
36 pages with 1 figure, related to superfluidity, BEC states, etc
arxiv created 2006/06/22 · openalex publication_date 2006/06/22 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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, Tλ), particles assume a state of (q, -q) bound pairs, (ii) the λ-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 ϕ-space followed simultaneously by their BEC as (q, -q) bound pairs in a state of q = qo = π/d and K = 0, (iii) particles at T ≤ Tλ acquire collective binding which locks them at <k> = 0, <r> = λ/2 and Δϕ= 2nπ (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 λ-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, Ψ-theory, idea of macroscopic wave function, etc. The framework of the theory can unify the physics of interacting bosons and fermions.