Reduction of Lie-Jordan algebras: Quantum

被引：1
|
作者：
Falceto, F. [1 ]
Ferro, L. [2 ,3 ]
Ibort, A. [2 ]
Marmo, G. [2 ,3 ]
机构：
[1] Univ Zaragoza, Dept Fis Teor, Plaza San Francisco S-N, E-50009 Zaragoza, Spain
[2] Univ Carlos III Madrid, Dept Matemat, Madrid 28911, Spain
[3] Univ Napoli Federico II, INFN, Dipartimento Sci Fis, Sez Napoli, I-80126 Naples, Italy
来源：
NUOVO CIMENTO C-COLLOQUIA AND COMMUNICATIONS IN PHYSICS | 2013年 / 36卷 / 03期
关键词：
D O I：
10.1393/ncc/i2013-11527-1
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this paper we present a theory of reduction of quantum systems in the presence of symmetries and constraints. The language used is that of Lie-Jordan Banach algebras, which are discussed in some detail together with spectrum properties and the space of states. The reduced Lie-Jordan Banach algebra is characterized together with the Dirac states on the physical algebra of observables.
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页数：9
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