|
|||||
|
|
Quantization of soluble classical constrained systems |
|
| Authors: | Z Belhadi F Menas A Bérard H Mohrbach |
| Institution: | 1. Laboratoire de physique et chimie quantique, Faculté des sciences, Université Mouloud Mammeri, BP 17, 15000 Tizi Ouzou, Algérie;2. Laboratoire de physique théorique, Faculté des sciences exactes, Université de Bejaia, 06000 Bejaia, Algérie;3. Ecole Nationale Préparatoire aux Etudes d’ingéniorat, Laboratoire de physique, RN 5 Rouiba, Alger, Algérie;4. Equipe BioPhysStat, Laboratoire LCP-A2MC, ICPMB, IF CNRS No 2843, Université de Lorraine, 1 Bd Arago, 57078 Metz Cedex, France |
| Abstract: | The derivation of the brackets among coordinates and momenta for classical constrained systems is a necessary step toward their quantization. Here we present a new approach for the determination of the classical brackets which does neither require Dirac’s formalism nor the symplectic method of Faddeev and Jackiw. This approach is based on the computation of the brackets between the constants of integration of the exact solutions of the equations of motion. From them all brackets of the dynamical variables of the system can be deduced in a straightforward way. |
| Keywords: | Mathematical method Constrained systems Dirac brackets Faddeev&ndash Jackiw symplectic approach |
| 本文献已被 ScienceDirect 等数据库收录！ | |