A detailed proof of the von Neumann's quantum ergodic theorem

DOI10.1007/S40509-017-0100-7zbMath1387.81007arXiv1507.02736OpenAlexW2963125603MaRDI QIDQ1701537

Marcos Sebastiani, Artur Oscar Lopes

Publication date: 27 February 2018

Published in: Quantum Studies: Mathematics and Foundations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1507.02736

zbMATH Keywords

Hamiltoniangeneric orthogonal decompositionvon Neumann's quantum ergodic theorem

Mathematics Subject Classification ID

General and philosophical questions in quantum theory (81P05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Algebraic ergodic theory, cocycles, orbit equivalence, ergodic equivalence relations (37A20)

Related Items (1)

Lyapunov Exponents for Quantum Channels: An Entropy Formula and Generic Properties

Cites Work

• Quantum ergodicity for a class of non-generic systems
• Normal typicality and von Neumann’s quantum ergodic theorem
• Unitarity, ergodicity and quantum thermodynamics
• Unnamed Item

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