Published 2013 | Version v1
Journal article

Reduction of Lie-Jordan algebras: Quantum

  • 1. Departamento de F´ısica Te´orica, Universidad de Zaragoza, (Spain)
  • 2. Dipartimento di Scienze Fisiche, INFN- Sezione di Napoli Universita' di Napoli Federico II', Napoli (Italy)
  • 3. Departamento de Matem´aticas, Universidad Carlos III de Madrid, Madrid, (Spain)

Description

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.

Additional details

Publishing Information

Journal Title
Nuovo Cimento. C (Print)
Journal Volume
36
Journal Issue
3
Journal Page Range
p. 117-125
ISSN
2037-4909

Conference

Title
Mathematical Structures in Quantum Systems and applications
Acronym
MSQS 2012
Dates
8-14 Jul 2012
Place
Benasque (Spain)

INIS

Country of Publication
Italy
Country of Input or Organization
Italy
INIS RN
44096016
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Resource subtype / Literary indicator
Conference
Descriptors DEI
ALGEBRA; LIE GROUPS; QUANTUM GROUPS; QUANTUM MECHANICS; RINGS; SYMMETRY GROUPS
Descriptors DEC
MATHEMATICS; MECHANICS; SYMMETRY GROUPS