Partial isometries and quotient structures in Hilbert spaces

DOI10.1016/0034-4877(80)90009-9zbMath0485.47023OpenAlexW2086221482MaRDI QIDQ1164247

Thomas H. Seligman, Jerzy F. Plebański

Publication date: 1980

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0034-4877(80)90009-9

zbMATH Keywords

embeddingC*-algebrainfinitesimalsquantum mechanical systemsaction of semi-groupssemigroups of partial isometriesspectral theory of self-adjoint operators

Mathematics Subject Classification ID

Groups and semigroups of linear operators (47D03) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects) (81P10) Representation theory of linear operators (47A67) Inner product spaces and their generalizations, Hilbert spaces (46C99) Linear operators in (C^*)- or von Neumann algebras (47C15)

Related Items (1)

Sequences of point transformations and linear canonical transformations in classical and quantum mechanics

Cites Work

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• Canonical transformations to action and angle variables and their representation in quantum mechanics. II. The Coulomb problem
• Nonbijective canonical transformations and their representation in quantum mechanics
• Motion in a Constant Magnetic Field

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