Path summation and quantum measurements
| dc.creator | Sokolovski, D. | |
| dc.creator | Mayato, R. Sala | |
| dc.date | 2004-07-06 | |
| dc.date | 2004-07-15 | |
| dc.date.accessioned | 2026-07-07T06:10:11Z | |
| dc.date.available | 2026-07-07T06:10:11Z | |
| dc.description | We propose a general theoretical approach to quantum measurements based on the path (histories) summation technique. For a given dynamical variable A, the Schrödinger state of a system in a Hilbert space of arbitrary dimensionality is decomposed into a set of substates, each of which corresponds to a particular detailed history of the system. The coherence between the substates may then be destroyed by meter(s) to a degree determined by the nature and the accuracy of the measurement(s) which may be of von Neumann, finite-time or continuous type. Transformations between the histories obtained for non-commuting variables and construction of simultaneous histories for non-commuting observables are discussed. Important cases of a particle described by Feynman paths in the coordinate space and a qubit in a two dimensional Hilbert space are studied in some detail. | |
| dc.description | 30 pages+3 figures | |
| dc.identifier | https://arxiv.org/abs/quant-ph/0407043 | |
| dc.identifier | http://arxiv.org/abs/quant-ph/0407043 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/92195 | |
| dc.subject | Quantum Physics | |
| dc.title | Path summation and quantum measurements | |
| dc.type | text |