U(n) generator matrix elements using orthogonal Gel’fand basis states

DOI10.1063/1.529317zbMath0745.22021OpenAlexW2081572824MaRDI QIDQ3981683

M. Schlesinger, P. S. Ponnapalli, R. D. Kent

Publication date: 26 June 1992

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.529317

zbMATH Keywords

matrix elementsgroup chainfactorization schemegenerator productsorthogonal Gel'fand-Zetlin bases

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Finite-dimensional groups and algebras motivated by physics and their representations (81R05)

Cites Work

• A pattern calculus for tensor operators in the unitary groups
• Multibody operator matrix elements and subduction coefficients in U(n)
• Operators that Lower or Raise the Irreducible Vector Spaces of U n−1 Contained in an Irreducible Vector Space of Un
• Group Theory of Harmonic Oscillators in n-Dimensional Space
• Gelfand States and the Irreducible Representations of the Symmetric Group

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