Angular momentum non-conserving symmetries in bosonic models

被引：1

作者：

Fortunato, L. ^{[1
]}

de Graaf, W. A. ^{[2
]}

机构：

[1] ECT, I-38123 Villazzano, Trento, Italy

[2] Univ Trent, Dip Matemat, I-38123 Povo, Trento, Italy

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2011年 / 44卷 / 14期

关键词：

LIE-ALGEBRAS; SEMISIMPLE SUBALGEBRAS;

D O I：

10.1088/1751-8113/44/14/145206

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The Levi-Malcev decomposition is applied to bosonic models of quantum mechanics based on unitary Lie algebras u(2), u(2) circle plus 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 us 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.

引用

页数：12

共 18 条

[1]

[Anonymous], 1952, MAT SB

[2] Non-semisimple Lie algebras with Levi factor so(3), sl(2, R) and their invariants [J].