A single particle uncertainty relation
| dc.creator | Schürmann, Thomas | |
| dc.date | 2003-03-02 | |
| dc.date | 2007-11-25 | |
| dc.date.accessioned | 2026-07-07T12:40:04Z | |
| dc.date.available | 2026-07-07T12:40:04Z | |
| dc.description | We consider successive measurements of position and momentum of a single particle. Let P be the conditional probability to measure the momentum k with precision dk, given a previously successful position measurement q with precision dq. Several upper bounds for the probability P are determined. For arbitrary, but given precision dq, dk, these bounds refer to the variation of q, k and the state vector of the particle. A weak bound is given by the inequality P <= dkdq/h, where h is Planck's quantum of action. It is non-trivial for all measurements with dkdq < h. A sharper bound is obtained by applying the Hilbert-Schmidt-norm. As our main result the least upper bound of P is determined. All bounds are independent of the order with which the measuring of position and momentum is made. | |
| dc.description | 5 pages, 1 figure, revtex4, title changed | |
| dc.identifier | https://arxiv.org/abs/quant-ph/0303005 | |
| dc.identifier | http://arxiv.org/abs/quant-ph/0303005 | |
| dc.identifier | Acta Physica Polonica B 39 (2008) 587-597 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/219336 | |
| dc.subject | Quantum Physics | |
| dc.subject | Mathematical Physics | |
| dc.subject | Atomic Physics | |
| dc.title | A single particle uncertainty relation | |
| dc.type | text |