Hamiltonian Systems Inspired by the Schrödinger Equation
| dc.creator | Kovalchuk, Vasyl | |
| dc.creator | Slawianowski, Jan Jerzy | |
| dc.date | 2008-05-27 | |
| dc.date.accessioned | 2026-07-07T09:41:04Z | |
| dc.date.available | 2026-07-07T09:41:04Z | |
| dc.description | Described is n-level quantum system realized in the n-dimensional ''Hilbert'' space H with the scalar product G taken as a dynamical variable. The most general Lagrangian for the wave function and G is considered. Equations of motion and conservation laws are obtained. Special cases for the free evolution of the wave function with fixed G and the pure dynamics of G are calculated. The usual, first- and second-order modified Schrödinger equations are obtained. | |
| dc.description | This is a contribution to the Proc. of the Seventh International Conference ''Symmetry in Nonlinear Mathematical Physics'' (June 24-30, 2007, Kyiv, Ukraine), published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/ | |
| dc.identifier | https://arxiv.org/abs/0805.4024 | |
| dc.identifier | http://arxiv.org/abs/0805.4024 | |
| dc.identifier | SIGMA 4 (2008), 046, 9 pages | |
| dc.identifier | doi:10.3842/SIGMA.2008.046 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/161698 | |
| dc.subject | Mathematical Physics | |
| dc.subject | Quantum Physics | |
| dc.title | Hamiltonian Systems Inspired by the Schrödinger Equation | |
| dc.type | text |