Complete Hamiltonian description of wave-like features in classical and quantum physics
| dc.creator | Orefice, A. | |
| dc.creator | Giovanelli, R. | |
| dc.creator | Ditto, D. | |
| dc.date | 2007-06-21 | |
| dc.date | 2008-09-16 | |
| dc.date.accessioned | 2026-07-07T10:02:37Z | |
| dc.date.available | 2026-07-07T10:02:37Z | |
| dc.description | The analysis of the Helmholtz equation is shown to lead to an exact Hamiltonian system of equations describing in terms of ray trajectories a very wide family of wave-like phenomena (including diffraction and interference) going much beyond the limits of the ordinary geometrical optics approximation, which is contained as a simple limiting case. Due to the fact that the time independent Schroedinger equation is itself a Helmoltz-like equation, the same mathematical solutions holding for a classical optical beam turn out to apply to a quantum particle beam, leading to a complete system of Hamiltonian equations which provide a set of particle trajectories and motion laws containing as a limiting case the ones encountered in classical Mechanics. | |
| dc.description | The scientific content is unchanged. Abstract, Introduction and Conclusions were improved. The new version is given in 7 pages and double column and includes 6 figures | |
| dc.identifier | https://arxiv.org/abs/0706.3102 | |
| dc.identifier | http://arxiv.org/abs/0706.3102 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/169038 | |
| dc.subject | Quantum Physics | |
| dc.title | Complete Hamiltonian description of wave-like features in classical and quantum physics | |
| dc.type | text |