Faddeev-Jackiw Quantization of Non-Autonomous Singular Systems

Authors :: Z. Belhadi
A. Berard
Hervé Mohrbach
Laboratoire de physique th eorique
Laboratoire de Physique et Chimie Quantique [Tizi-Ouzou] (LPCQ )
Université Mouloud Mammeri [Tizi Ouzou] (UMMTO)-Université Mouloud Mammeri [Tizi Ouzou] (UMMTO)-Laboratoire de physique théorique
Université Abderrahmane Mira [Béjaïa]-Université Abderrahmane Mira [Béjaïa]
Institut Jean Barriol (IJB)
Institut de Chimie du CNRS (INC)-Université de Lorraine (UL)-Centre National de la Recherche Scientifique (CNRS)
Publication Year :: 2016
Publisher :: arXiv, 2016.
Abstract: We extend the quantization a la Faddeev–Jackiw for non-autonomous singular systems. This leads to a generalization of the Schrodinger equation for those systems. The method is exemplified by the quantization of the damped harmonic oscillator and the relativistic particle in an external electromagnetic field.

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