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Introduction to the Modern Theory of Bose-Einstein Condensation, Superfluidity, and Superconductivity

2025/11/12 by Phil Attard, Attard, Phil
Chemistry · Engineering · Physics and Astronomy · #Advanced Physical and Chemical Molecular Interactions #Chemical Physics (physics.chem-ph) #FOS: Physical sciences #Fluid dynamics and aerodynamics studies #Quantum Gases (cond-mat.quant-gas) #Quantum Physics (quant-ph) #Quantum, superfluid, helium dynamics #Statistical Mechanics (cond-mat.stat-mech) #Superconductivity (cond-mat.supr-con)

paper · pdf · doi:10.48550/arxiv.2511.08953

openalex publication_date 2025/11/12 · openalex created_date 2025/11/14 · openalex updated_date 2026/07/28

Abstract

The modern theory of Bose-Einstein condensation, superfluidity, and superconductivity is reviewed. The thermodynamic principle for superfluid flow and the equation of motion for condensed bosons are given. Computer simulations of Lennard-Jones 4He give the λ-transition and the superfluid viscosity. The statistical mechanical theory of high-temperature superconductivity is presented. Critical comparison is made with older approaches, such as ground energy state condensation, irrotational superfluid flow, and the macroscopic wavefunction.

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