Internal Symmetries and Additional Quantum Numbers for Nanoparticles

DOI10.2478/nsmmt-2013-0006zbMath1273.81113OpenAlexW2089445629MaRDI QIDQ2852198

V. G. Yarzhemsky

Publication date: 8 October 2013

Published in: Nanoscale Systems: Mathematical Modeling, Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/nsmmt-2013-0006

zbMATH Keywords

group theoryquantum numbersnanoparticlesMackey theoremelectron structure

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Applications of group representations to physics and other areas of science (20C35) Statistical mechanics of nanostructures and nanoparticles (82D80)

Related Items (2)

Additional quantum numbers for vibration states of symmetric nanoparticles ⋮ Induced representation method in the theory of electron structure and superconductivity

Cites Work

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• Symmetry properties of direct sum systems
• Semiregular induction of group representations
• Kronecker Products and Symmetrized Squares of Irreducible Representations of Space Groups
• Orthogonal Orbitals and Generalized Wannier Functions
• Symmetric and Anti Symmetric Kronecker Squares and Intertwining Numbers of Induced Representations of Finite Groups

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