Feynman diagrams and Wick products associated withq-Fock space
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Publication:5460790
DOI10.1073/pnas.1531460100zbMath1064.81045arXivmath/0303045OpenAlexW2056687077WikidataQ35170291 ScholiaQ35170291MaRDI QIDQ5460790
Publication date: 19 July 2005
Published in: Proceedings of the National Academy of Sciences (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0303045
Quantum chaos (81Q50) Feynman integrals and graphs; applications of algebraic topology and algebraic geometry (81Q30) Commutation relations and statistics as related to quantum mechanics (general) (81S05)
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Cites Work
- An example of a generalized Brownian motion
- Completely positive maps on Coxeter groups, deformed commutation relations, and operator spaces
- \(q\)-Gaussian processes: Non-commutative and classical aspects
- Some properties of crossings and partitions
- Parastochastics
- Renormalization in quantum field theory and the Riemann-Hilbert problem. II: The \(\beta\)-function, diffeomorphisms and the renormalization group.