RT Conference Proceedings T1 From classical trajectories to quantum commutation relations A1 Ciaglia, Florio Maria A1 Marmo, Giuseppe A1 Schiavone, Luca AB In describing a dynamical system, the greatest part of the work for a theoretician is to translate experimental data into differential equations. It is desirable for such differential equations to admit a Lagrangian and/or an Hamiltonian description because of the Noether theorem and because they are the starting point for the quantization. As a matter of fact many ambiguities arise in each step of such a reconstruction which must be solved by the ingenuity of the theoretician. In the present work we describe geometric structures emerging in Lagrangian, Hamiltonian and Quantum description of a dynamical system underlining how many of them are not really fixed only by the trajectories observed by the experimentalist. PB Springer SN 978-3-030-24747-8 YR 2018 FD 2018-03-05 LK https://hdl.handle.net/10016/35828 UL https://hdl.handle.net/10016/35828 LA eng DS e-Archivo RD 17 jul. 2024