Group Algebra, Convolution Algebra, and Applications to Quantum Mechanics

DOI10.1103/RevModPhys.39.259zbMath0163.21801OpenAlexW2135735197WikidataQ27342773 ScholiaQ27342773MaRDI QIDQ5547457

Per-Olof Löwdin

Publication date: 1967

Published in: Reviews of Modern Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1103/revmodphys.39.259

zbMATH Keywords

quantum theory

Mathematics Subject Classification ID

Finite-dimensional groups and algebras motivated by physics and their representations (81R05)

Related Items (7)

Convolution algebra of superoperators and nonseparability witnesses for quantum operations ⋮ Hybrid preconditioning for iterative diagonalization of ill-conditioned generalized eigenvalue problems in electronic structure calculations ⋮ A Theory of Quantum Subspace Diagonalization ⋮ Application of group ring algebra to localized and delocalized quantum states in periodic potentials ⋮ The Symmetric Group and the Gel'fand Basis of U(3). Generalizations of the Dirac Identity ⋮ Classical Hamiltonians in the generator coordinate theory ⋮ Irreducible tensorial sets within the group algebra of a compact group

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