Liouville Integrability of the Schroedinger Equation
| dc.creator | Vilasi, G. | |
| dc.date | 1997-10-07 | |
| dc.date.accessioned | 2026-07-07T06:14:27Z | |
| dc.date.available | 2026-07-07T06:14:27Z | |
| dc.description | Canonical coordinates for both the Schroedinger and the nonlinear Schroedinger equations are introduced, making more transparent their Hamiltonian structures. It is shown that the Schroedinger equation, considered as a classical field theory, shares with the nonlinear Schroedinger, and more generally with Liouville completely integrable field theories, the existence of a "recursion operator" which allows for the construction of infinitely many conserved functionals pairwise commuting with respect to the corresponding Poisson bracket. The approach may provide a good starting point to get a clear interpretation of Quantum Mechanics in the general setting, provided by Stone-von Neumann theorem, of Symplectic Mechanics. It may give new tools to solve in the general case the inverse problem of Quantum Mechanics. | |
| dc.description | 13 pages, Latex, no figures | |
| dc.identifier | https://arxiv.org/abs/quant-ph/9710022 | |
| dc.identifier | http://arxiv.org/abs/quant-ph/9710022 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/93466 | |
| dc.subject | Quantum Physics | |
| dc.title | Liouville Integrability of the Schroedinger Equation | |
| dc.type | text |