Monte Carlo simulations of random non-commutative geometries

DOI10.1088/1751-8113/49/24/245001zbMath1344.81111arXiv1510.01377OpenAlexW3099947822MaRDI QIDQ3186257

John W. Barrett, Lisa Glaser

Publication date: 9 August 2016

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1510.01377

zbMATH Keywords

Dirac operatorsnon-commutative geometryspectral triplesrandom geometry

Mathematics Subject Classification ID

Monte Carlo methods (65C05) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Schrödinger operator, Schrödinger equation (35J10) Covariant wave equations in quantum theory, relativistic quantum mechanics (81R20) Noncommutative geometry in quantum theory (81R60) Random matrices (algebraic aspects) (15B52) PDEs with randomness, stochastic partial differential equations (35R60) Clifford algebras, spinors (15A66)

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