A short walk in quantum probability

DOI10.1098/rsta.2017.0226zbMath1470.81011OpenAlexW2793607586WikidataQ55222828 ScholiaQ55222828MaRDI QIDQ5154193

Robin L. Hudson

Publication date: 4 October 2021

Published in: Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rsta.2017.0226

zbMATH Keywords

mathematical physicsquantum physicsquantum probabilityquantum central limit theoremquantum planar Brownian motion

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) General and philosophical questions in quantum theory (81P05) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)

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Cites Work

• Quantum Ito's formula and stochastic evolutions
• A non-commutative martingale representation theorem for non-Fock quantum Brownian motion
• The strong Markov property for canonical Wiener processes
• When is the Wigner quasi-probability density non-negative?
• Quantum mechanical Wiener processes
• A quantum-mechanical functional central limit theorem
• Die Eindeutigkeit der Schrödingerschen Operatoren
• Moments of quantum Lévy areas using sticky shuffle Hopf algebras
• Probability laws related to the Jacobi theta and Riemann zeta functions, and Brownian excursions
• QUANTUM LÉVY AREA AS QUANTUM MARTINGALE LIMIT
• On the Quantum Correction For Thermodynamic Equilibrium
• Quantum fluctuations in mesoscopic systems
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