Equation of Motion for the Quantum Characteristic Functions
| dc.creator | Hen, Itay | |
| dc.creator | Kalev, Amir | |
| dc.date | 2008-03-02 | |
| dc.date | 2008-05-02 | |
| dc.date.accessioned | 2026-07-07T09:36:21Z | |
| dc.date.available | 2026-07-07T09:36:21Z | |
| dc.description | In this paper, we derive equations of motion for the normal-order, the symmetric-order and the antinormal-order quantum characteristic functions, applicable for general Hamiltonian systems. We do this by utilizing the `characteristic form' of both quantum states and Hamiltonians. The equations of motion we derive here are rather simple in form and in essence, and as such have a number of attractive features. As we shall see, our approach enables the descriptions of quantum and classical time evolutions in one unified language. It allows for a direct comparison between quantum and classical dynamics, providing insight into the relations between quantum and classical behavior, while also revealing a smooth transition between quantum and classical time evolutions. In particular, the $\hbar\to 0$ limit of the quantum equations of motion instantly recovers their classical counterpart. We also argue that the derived equations may prove to be very useful in numerical simulations. | |
| dc.description | 5 pages | |
| dc.identifier | https://arxiv.org/abs/0803.0108 | |
| dc.identifier | http://arxiv.org/abs/0803.0108 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/160087 | |
| dc.subject | Quantum Physics | |
| dc.title | Equation of Motion for the Quantum Characteristic Functions | |
| dc.type | text |