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

Phil Attard

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arXiv · 2511.08953

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

Phil Attard

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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 $^4$He give the $\lambda$-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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Phil Attard. 2025-11-12. Introduction to the Modern Theory of Bose-Einstein Condensation, Superfluidity, and Superconductivity. https://arxiv.org/abs/2511.08953

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