Elements of irreducible tensorial matrices generated by finite group with applications to ligand field Hamiltonians
type: Item
instance of: scholarly article
title: Elements of irreducible tensorial matrices generated by finite group with applications to ligand field Hamiltonians
zbMATH Open document ID: 0899.15020
DOI: 10.1007/BF01165126
author: O. Diekmann
publication date: 1998-11-15T00:00:00Z
review text: Finite symmetry groups are used to generate \(d\)-type ligand-field Hamiltonians. The irreducible representations of the involved group are employed to construct tensor operators of definite symmetry. Starting from a reference matrix, by elegant group theoretical methods the Hamiltonian is derived. This relation is substantial more efficient than previous techniques for evaluating matrix elements of octahedral and tetragonal \(d\)-type ligand-field Hamiltonians.
Mathematics Subject Classification ID: 15A72
Mathematics Subject Classification ID: 15A90
Mathematics Subject Classification ID: 81V55
Mathematics Subject Classification ID: 81R05
zbMATH DE Number: 1036822
zbMATH Keywords: finite groups
zbMATH Keywords: ligand-field Hamiltonians
zbMATH Keywords: normalized irreducible tensorial matrices
zbMATH Keywords: irreducible representations
zbMATH Keywords: tensor operators
zbMATH Keywords: crystallographic groups
zbMATH Keywords: point symmetries
reviewed by: Bertfried Fauser
MaRDI profile type: Publication
cites work: Q3929699
cites work: On the SU2 unit tensor
cites work: Q5332157
cites work: Semiregular induction of group representations
cites work: Q3282423
cites work: Q5797085
published in: Journal of Mathematical Chemistry
Recommended article: Matrix elements of unitary group generators in many-fermion correlation problem. I: Tensorial approaches
Recommended article: Q5734537
Recommended article: Q3731901
Recommended article: Exact \(S\)-matrices with affine quantum group symmetry
Recommended article: Q4352609
Recommended article: Q5460012
Recommended article: On the tensor algebra of a non-Abelian group and applications
Recommended article: Tensor operators for quantum groups and applications
Recommended article: Q4288094
Recommended article: Quantum groups from stationary matrix models
description: scientific article; zbMATH DE number 1036822