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Angular momentum non-conserving symmetries in bosonic models

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Publication:2994813

DOI10.1088/1751-8113/44/14/145206zbMATH Open1213.81231arXiv1102.4698OpenAlexW3102832134MaRDI QIDQ2994813

Author name not available (Why is that?)

Publication date: 29 April 2011

Published in: (Search for Journal in Brave)

Abstract: The Levi-Malcev decomposition is applied to bosonic models of quantum mechanics based on unitary Lie algebras u(2), u(2)+u(2), u(3) and u(4) to clearly disentangle semisimple subalgebras. The theory of weighted Dynkin diagrams is then applied to identify conjugacy classes of relevant A_1 subalgebras allowing to introduce a complete classification of new angular momentum non conserving (AMNC) dynamical symmetries. The tensor analysis of the whole algebra based on the new "angular momentum" operators reveals unexpected spinors to occur in purely bosonic models. The new chains of subalgebra can be invoked to set up ANMC bases for diagonalization.


Full work available at URL: https://arxiv.org/abs/1102.4698




Mathematics Subject Classification ID

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