scientific article
zbMath0557.20001MaRDI QIDQ3222352
Publication date: 1984
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
perturbation theoryprojection operatorsgroupscrystalline solidsLie groupsSchrödinger equationsymmetry groupssemidirect productsLie algebrasYoung tableauirreducible representationsdouble groupHamiltonian operatorgauge theoriescharacter tableselementary particlestransition probabilitiesenergy eigenvaluesSU(3)induced representationsPoincaré groupSchur's lemmaadjoint representationLorentz groupCasimir operatorsWigner-Eckart theoremlattice vibrationsBravais latticessemi-simple Lie algebrasuniversal covering groupsweight vectorsBrillouin zonesdouble point groupscrystallographic space groupscharmClebsch-Gordan decompositionsfinite dimensional representation theory of groupsgroup of coordinate transformationsspinor transformation operators
Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Applications of Lie groups to the sciences; explicit representations (22E70) Other geometric groups, including crystallographic groups (20H15) Lie algebras of linear algebraic groups (17B45) Applications of group representations to physics and other areas of science (20C35) Applications of linear algebraic groups to the sciences (20G45) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to quantum theory (81-01) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to group theory (20-01) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to nonassociative rings and algebras (17-01) Groups and algebras in quantum theory (81Rxx) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to topological groups (22-01)
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