Non-commutative probability and non-commutative processes: Beyond the Heisenberg algebra
DOI10.1063/1.5089500zbMath1422.46005arXiv1710.05882OpenAlexW2765241675WikidataQ127322577 ScholiaQ127322577MaRDI QIDQ5235523
Publication date: 11 October 2019
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1710.05882
Applications of Lie (super)algebras to physics, etc. (17B81) Noncommutative probability and statistics (46L53) Noncommutative geometry in quantum theory (81R60) Methods of noncommutative geometry in general relativity (83C65) States of selfadjoint operator algebras (46L30) Probability theory on linear topological spaces (60B11)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Lie algebraic aspects of quantum statistics. Parafermi statistics
- An example of a generalized Brownian motion
- Quantum Ito's formula and stochastic evolutions
- Quasi-free quantum stochastic integrals for the CAR and CCR
- Unification of Fermion and Boson stochastic calculus
- The Ito-Clifford integral
- An example of a quantum exponential process
- Quantum probability for probabilists
- On martingale inequalities in non-commutative stochastic analysis
- Positive definite functions on Coxeter groups with applications to operator spaces and noncommutative probability
- Renormalized squares of white noise and other non-Gaussian noises as Lévy processes on real Lie algebras
- The geometry of noncommutative space-time
- Fock space associated to Coxeter groups of type B
- Geometry, stochastic calculus, and quantum fields in a noncommutative space–time
- Deformations, stable theories and fundamental constants
- SPLITTING OF POISSON NOISE AND LÉVY PROCESSES ON REAL LIE ALGEBRAS
- The quadratic Fock functor
- Quantum stochastic processes
This page was built for publication: Non-commutative probability and non-commutative processes: Beyond the Heisenberg algebra
