Exchange and exclusion in the non-abelian anyon gas

arXiv:2009.12709 · math-ph, cond-mat.quant-gas, math.MP, math.SP · Submitted 2020-09-26 · Read on arXiv

math-ph, cond-mat.quant-gas, math.MP, math.SP

Submitted: 2020-09-26

Updated: 2026-09-15

Comments: 81 pages, 10 figures. V3: minor corrections and clarifications; accepted for publication in Complex Analysis and Operator Theory

License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Terminology

• Anyons — 152× in this paper · explained in 2 episodes
• Hilbert Space — 17× in this paper · explained in 2 episodes
• Quantization — 8× in this paper · explained in 12 episodes
• Superadditivity — 7× in this paper · explained in 2 episodes
• Consistency — 3× in this paper · explained in 3 episodes
• Core — 3× in this paper · explained in 2 episodes
• Degeneracy — 3× in this paper · explained in 3 episodes
• Generalization — 3× in this paper · explained in 13 episodes
• Aharonov-Bohm Effect — 2× in this paper · explained in 2 episodes
• Anyon Superconductivity — 2× in this paper · explained in 1 episode
• Clustering — 2× in this paper · explained in 2 episodes
• Holonomy — 2× in this paper · explained in 2 episodes
• Quantum Physics — 2× in this paper · explained in 10 episodes
• Adam — 1× in this paper · explained in 2 episodes
• Adaptation — 1× in this paper · explained in 1 episode
• Alignment — 1× in this paper · explained in 1 episode
• Gauge Freedom — 1× in this paper · explained in 2 episodes
• alpha — 1× in this paper · explained in 1 episode

Sources

• Nonlinear Landau levels in the almost-bosonic anyon gas
• A generalized Liouville equation and magnetic stability
• Classical and Quantum Mechanics of Anyons
• Quantization of kinematics on configuration manifolds
• The six blinds and the elephant or an interdisciplinary selection of measurement features
• On the Quantization of the Monoatomic Ideal Gas
• The Lieb-Thirring inequalities: Recent results and open problems
• The Mathematics of the Bose Gas and its Condensation
• Methods of modern mathematical physics: Uncertainty and exclusion principles in quantum mechanics
• Properties of 2D anyon gas
• 2D magnetic stability
• Hilbert Spaces for Nonrelativistic and Relativistic "Free" Plektons (Particles with Braid Group Statistics)
• Some contributions to many-body quantum mathematics
• A simple approach to Lieb--Thirring type inequalities
• Lectures on the Quantum Hall Effect

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