Measurability in Linear and Non-Linear Quantum Mechanical Systems
| dc.creator | Aharonov, Y. | |
| dc.creator | Reznik, B. | |
| dc.date | 1997-04-01 | |
| dc.date.accessioned | 2026-07-07T06:14:13Z | |
| dc.date.available | 2026-07-07T06:14:13Z | |
| dc.description | The measurability by means of continuous measurements, of an observable $\A(t_0)$, at an instant, and of a time averaged observable, $\bar \A=1/T\int \A(t')dt'$, is examined for linear and in particular for non-linear quantum mechanical systems. We argue that only when the exact (non-perturbative) solution is known, an exact measurement may be possible. A perturbative approach is shown to fail in the non-linear case for measurements with accuracy $Δ\bar \A < Δ\bar \A_{min}(T)$, giving rise to a restriction on the accuracy. Thus, in order to prepare an initial pure state of a non-linear system, by means of a continuous measurement, the exact non-perturbative solution must be known. | |
| dc.description | 16 pages, Revtex | |
| dc.identifier | https://arxiv.org/abs/quant-ph/9704001 | |
| dc.identifier | http://arxiv.org/abs/quant-ph/9704001 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/93379 | |
| dc.subject | Quantum Physics | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.title | Measurability in Linear and Non-Linear Quantum Mechanical Systems | |
| dc.type | text |