Wigner-Type Theorems for Hilbert Grassmannians

DOI10.1017/9781108800327zbMath1466.81002OpenAlexW3000300545MaRDI QIDQ5205972

M. A. Pankov

Publication date: 17 December 2019

Full work available at URL: https://doi.org/10.1017/9781108800327

zbMATH Keywords

Hilbert spaceorthomodular latticetransformationGrassmannianisomorphismunitary operatoranti-unitary operatorWigner's theorem

Mathematics Subject Classification ID

General and philosophical questions in quantum theory (81P05) Applications of Lie groups to the sciences; explicit representations (22E70) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects) (81P10) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to quantum theory (81-01)

Related Items (14)

Automorphisms and some geodesic properties of ortho-Grassmann graphs ⋮ Commutativity preserving transformations on conjugacy classes of compact self-adjoint operators ⋮ The graphs of non-degenerate linear codes ⋮ A non-injective version of Wigner's theorem ⋮ Orthogonality preserving transformations of Hilbert Grassmannians ⋮ Automorphisms of graphs corresponding to conjugacy classes of finite-rank self-adjoint operators ⋮ A geometric approach to Wigner‐type theorems ⋮ Surjective \(L^p\)-isometries on Grassmann spaces ⋮ Point-line incidence on Grassmannians and majority logic decoding of Grassmann codes ⋮ Generalized Grassmann graphs associated to conjugacy classes of finite-rank self-adjoint operators ⋮ Surjective \(L^2\)-isometries on the projection lattice ⋮ Surjective \(L^p\)-isometries on rank 1 idempotents ⋮ Commutativity preserving transformations on conjugacy classes of finite rank self-adjoint operators ⋮ Wigner symmetries and Gleason’s theorem ^*

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