Gaussian wave packets in phase space: The Fermi g_F function
| dc.creator | Benenti, Giuliano | |
| dc.creator | Strini, Giuliano | |
| dc.date | 2008-10-23 | |
| dc.date | 2008-12-08 | |
| dc.date.accessioned | 2026-07-07T13:14:16Z | |
| dc.date.available | 2026-07-07T13:14:16Z | |
| dc.description | Any pure quantum state can be equivalently represented by means of its wave function psi(q) or of the Fermi function g_F(q,p), with q and p coordinates and conjugate momenta of the system under investigation.We show that a Gaussian wave packet can be conveniently visualized in phase space by means of the curve g_F(q,p)=0. The evolution in time of the g_F=0 curve is then computed for a Gaussian packet evolving freely or under a constant or a harmonic force. As a result, the spreading or shrinking of the packet is easily interpreted in phase space. Finally, we discuss a gedanken prism microscope experiment for measuring the position-momentum correlation. This gedanken experiment, together with the well-known Heisenberg microscope and von Neumann velocimeter, is sufficient to fully determine the state of a Gaussian packet. | |
| dc.description | 7 pages, 4 figures, remarks added | |
| dc.identifier | https://arxiv.org/abs/0810.4317 | |
| dc.identifier | http://arxiv.org/abs/0810.4317 | |
| dc.identifier | Am. J. Phys. 77, 546 (2009) | |
| dc.identifier | doi:10.1119/1.3083268 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/230159 | |
| dc.subject | Quantum Physics | |
| dc.title | Gaussian wave packets in phase space: The Fermi g_F function | |
| dc.type | text |