On some mathematical aspects of the Heisenberg relation

DOI10.1007/s11425-011-4266-xzbMath1248.46041OpenAlexW2262727861MaRDI QIDQ424880

Zhe Liu

Publication date: 7 June 2012

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-011-4266-x

zbMATH Keywords

unbounded operatorsquantum mechanicsHeisenberg relationfinite von Neumann algebrasaffiliated operatorsfactors of type II\(_{1}\)

Mathematics Subject Classification ID

Applications of selfadjoint operator algebras to physics (46L60) Operator algebra methods applied to problems in quantum theory (81R15) Classification of factors (46L36)

Related Items (4)

Heisenberg relation for locally measurable operators ⋮ A note on commutators in algebras of unbounded operators ⋮ A note on derivations of Murray–von Neumann algebras ⋮ Derivations of a class of Kadison-Singer algebras

Cites Work

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• Transformations of states in operator theory and dynamics
• On rings of operators
• On rings of operators. III
• On rings of operators. IV
• Quantum Mechanics and Hilbert Space
• On Rings of Operators. II

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