caa a22 4500 463196023 CHVBK 20180406164923.0 cr unu---uuuuu 170326e20071201xx s 000 0 eng 10.1007/s10773-007-9429-8 doi (NATIONALLICENCE)springer-10.1007/s10773-007-9429-8 Hamiltonian Formulation of Systems with Higher Order Derivatives [Elektronische Daten] [Sami Muslih, Hosam El-Zalan] Using the framework of variational principle in mechanics, we obtain a new description of the Hamiltonian formulation of systems with higher order derivatives, involving the introduction of the usual definition of the generalized momenta as presented for the first order systems. The canonical action is obtained in terms of canonical coordinates q i (i=1,2, ,n). Besides, the path integral quantization is obtained as an integration over the canonical coordinate q i without any need to integrate over the higher order derivatives $(\bar{q_{i}}=\dot{q_{i}})$ . Two examples are studied. Springer Science+Business Media, LLC, 2007 Hamiltonian and Lagrangian approach nationallicence Higher order Lagrangians nationallicence Quantization of field systems nationallicence Muslih Sami Department of Physics, Al-Azhar University, Gaza, Palestine aut El-Zalan Hosam Department of Mathematics, Al-Aqsa University, Gaza, Palestine aut International Journal of Theoretical Physics Springer US; http://www.springer-ny.com 46/12(2007-12-01), 3150-3158 0020-7748 46:12<3150 2007 46 10773 https://doi.org/10.1007/s10773-007-9429-8 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10773-007-9429-8 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Muslih Sami Department of Physics, Al-Azhar University, Gaza, Palestine aut NATIONALLICENCE 700 1- El-Zalan Hosam Department of Mathematics, Al-Aqsa University, Gaza, Palestine aut NATIONALLICENCE 773 0- International Journal of Theoretical Physics Springer US; http://www.springer-ny.com 46/12(2007-12-01), 3150-3158 0020-7748 46:12<3150 2007 46 10773 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer