Solving the von Neumann equation with time-dependent Hamiltonian. Part I: Method
| dc.creator | Kuna, Maciej | |
| dc.creator | Naudts, Jan | |
| dc.date | 2008-05-29 | |
| dc.date.accessioned | 2026-07-07T09:41:33Z | |
| dc.date.available | 2026-07-07T09:41:33Z | |
| dc.description | The unitary operators U(t), describing the quantum time evolution of systems with a time-dependent Hamiltonian, can be constructed in an explicit manner using the method of time-dependent invariants. We clarify the role of Lie-algebraic techniques in this context and elaborate the theory for SU(2) and SU(1,1). We show that the constructions known as Magnus expansion and Wei-Norman expansion correspond with different representations of the rotation group. A simpler construction is obtained when representing rotations in terms of Euler angles. The many applications are postponed to Part II of the paper. | |
| dc.description | 14 pages | |
| dc.identifier | https://arxiv.org/abs/0805.4487 | |
| dc.identifier | http://arxiv.org/abs/0805.4487 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/161869 | |
| dc.subject | Mathematical Physics | |
| dc.subject | 81Q05,81R05,22E70 | |
| dc.title | Solving the von Neumann equation with time-dependent Hamiltonian. Part I: Method | |
| dc.type | text |