Weak values, 'negative probability' and the uncertainty principle
| dc.creator | Sokolovski, D. | |
| dc.date | 2009-05-23 | |
| dc.date.accessioned | 2026-07-07T13:17:47Z | |
| dc.date.available | 2026-07-07T13:17:47Z | |
| dc.description | A quantum transition can be seen as a result of interference between various pathways(e.g. Feynman paths) which can be labelled by a variable $f$. An attempt to determine the value of f without destroying the coherence between the pathways produces a weak value of $\bar{f}$. We show $\bar{f}$ to be an average obtained with amplitude distribution which can, in general, take negative values which, in accordance with the uncertainty principle, need not contain information about the actual range of the values $f$ which contribute to the transition. It is also demonstrated that the moments of such alternating distributions have a number of unusual properties which may lead to misinterpretation of the weak measurement results.We provide a detailed analysis of weak measurements with and without post-selection. Examples include the double slit diffraction experiment,weak von Neumann and von Neumann-like measurements, traversal time for an elastic collision, the phase time, the local angular momentum(LAM) and the 'three-box case' of {\it Aharonov et al} | |
| dc.identifier | https://arxiv.org/abs/0905.3810 | |
| dc.identifier | http://arxiv.org/abs/0905.3810 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/231227 | |
| dc.subject | Quantum Physics | |
| dc.title | Weak values, 'negative probability' and the uncertainty principle | |
| dc.type | text |