caa a22 4500 469066547 CHVBK 20180323132910.0 cr unu---uuuuu 170328e19921101xx s 000 0 eng 10.1007/BF02726090 doi (NATIONALLICENCE)springer-10.1007/BF02726090 Yan C. Instituto de Físicia, Universidade Federal do Rio de Janeiro, Ilha do Fundão, Rio de Janeiro, RJ, Brasil aut Quantization based on generalized Poisson brackets [Elektronische Daten] [C. Yan] Summary: We regard classical mechanical equations of motion to be a set of first-order ordinary differential equations that include Hamiltonian systems as special cases. Generalized Poisson brackets are defined through the equivalent Jacobian form of equations of motion and the constants of the motion of the system. Fundamental quantum conditions are introduced through the generalized Poisson brackets. The classicalc-number dynamical variables are converted into quantumq-number dynamical operators by following the Dirac procedure. Quantum Heisenberg equations of motion are then obtained from the corresponding classical equations of motion. Some simple examples are studied in some detail. From the results of the simple examples there seems to exist a certain kind of relativity among the constants of the motion in the following sense: any one of the constants of the motion can be selected to be the motion generating Hamiltonian and the rest of the constants of the motion will all participate in defining the fundamental quantum conditions. The quantum Heisenberg equations of motion so obtained have all the same formal appearance as the corresponding classical equations. Società Italiana di Fisica, 1992 03.65 nationallicence Quantum theory nationallicence quantum mechanics nationallicence 03.20 nationallicence Classical mechanics of discrete systems: general mathematical aspects nationallicence 02.90 nationallicence Other topics in mathematical methods in physics nationallicence Il Nuovo Cimento B (1971-1996) Società Italiana di Fisica 107/11(1992-11-01), 1239-1259 107:11<1239 1992 107 40764 https://doi.org/10.1007/BF02726090 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF02726090 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Yan C. Instituto de Físicia, Universidade Federal do Rio de Janeiro, Ilha do Fundão, Rio de Janeiro, RJ, Brasil aut NATIONALLICENCE 773 0- Il Nuovo Cimento B (1971-1996) Società Italiana di Fisica 107/11(1992-11-01), 1239-1259 107:11<1239 1992 107 40764 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer