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New realizations of observables in dynamical systems with second class constraints
Institution:1. State Key Laboratory of Heavy Oil Processing, China University of Petroleum, Beijing 102249, China;2. School of Materials Science and Engineering, Jingdezhen Ceramic Institute, Jingdezhen 333403, Jiangxi Province, China;3. Library, Jingdezhen Ceramic Institute, Jingdezhen 333001, Jiangxi Province, China;1. Department of Biotechnology, Middle East Technical University, Ankara 06800, Turkey;2. Department of Chemical Engineering, Middle East Technical University, Ankara 06800, Turkey;3. Department of Polymers Science and Technology, Middle East Technical University, Ankara 06800, Turkey;4. Central Laboratory, Middle East Technical University, Ankara 06800, Turkey;1. University of Illinois at Urbana-Champaign, Department of Agricultural and Biological Engineering, United States;2. Illinois Sustainable Technology Center (ISTC), A Division of the Prairie Research Institute at the University of Illinois at Urbana-Champaign, United States;1. Departament d’Enginyeria Química, Escola Tècnica Superior d’Enginyeria, Universitat de València, Av. Universitat s/n, València, 46100 Burjassot, Spain;2. Institut Universitari d’Investigació d’Enginyeria de l’Aigua i Medi Ambient, IIAMA, Universitat Politècnica de València, Camí de Vera, s/n, 46022 València, Spain;1. Zhejiang Hi-Legend Environmental Science and Technology Company, Ltd., Hangzhou 310000, PR China;2. College of Environmental and Resource Sciences, Zhejiang University, Hangzhou 310029, PR China
Abstract:In the Dirac bracket approach to dynamical systems with second class constraints observables are represented by elements of a quotient Dirac bracket algebra. We describe families of new realizations of this algebra through quotients of the original Poisson bracket algebra. Explicit expressions for generators and brackets of the algebras under consideration are found.
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