On analogs of spectral decomposition of a quantum state

DOI10.1134/S0001434613030012zbMath1269.81008MaRDI QIDQ351618

V. Zh. Sakbaev, Grigori G. Amosov

Publication date: 8 July 2013

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

spectral decompositionfinitely additive measurequantum state

Mathematics Subject Classification ID

Vector-valued measures and integration (46G10) Quantum state spaces, operational and probabilistic concepts (81P16)

Related Items

Transformation semigroups of the space of functions that are square integrable with respect to a translation-invariant measure on a Banach space, Geometric properties of systems of vector states and expansion of states in Pettis integrals

Cites Work

• The set of quantum states and its averaged dynamic transformations
• Collapse postulate for observables with continuous spectra
• Representations of uniformly hyperfinite algebras and their associated von Neumann rings
• Dixmier traces and some applications in non-commutative geometry
• STOCHASTIC PROPERTIES OF DEGENERATED QUANTUM SYSTEMS
• Finitely Additive Measures
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