Article View: sci.physics
Article #4587Re: Quantum Zeno Effect, Part 1.
From: Robert Firth
Date: Mon, 05 Oct 1992 12:30
Date: Mon, 05 Oct 1992 12:30
39 lines
2012 bytes
2012 bytes
In article <1992Oct3.134653.20562@oracorp.com> daryl@oracorp.com (Daryl McCullough) writes: [a neat article on the quantum zeno effect - thanks, Daryl] Just one minor point: I don't think this effect can be used to slow down radioactive decay. That's an exponential process, ie if the atom is undecayed at time 0, then the probability it is still undecayed at time t is P(t) = exp(-kt) where k = log2/halflife. So, if we observe the atom at time t and again at time 2t, the probability we will observe it undecayed the first time is exp(-kt), and, presuming this "resets the clock", we get the same probability for the second observation. So the joint probability that it is undecayed both times is P(t) . P(2t)|P(t) = exp(-kt) . exp(-kt) = exp(-2kt) But if we simply leave it alone for time 2t, and then observe it once, we get P(2t) = exp(-2kt) which is the same answer. (It's also pretty easy to show the converse, that exponential decay is the only process unaffected by intermediate observation.) However, as I said, that's a minor point. Your major point is that the act of observing a system, and finding it seemingly unchanged from a previous observation, can indeed affect the subsequent behaviour of the system. In other words, a "null observation" has an effect on the thing observed. Ah, but on *what* does it have an effect? Not on the perceptible atom, which is seen to be unchanged, but on the imperceptible, and evolving, wave function, whose evolution has been perturbed. Yes, food for some very deep thought.
Technical Details
Message-ID:
<1992Oct5.123002.13912@sei.cmu.edu>Path:
arc1-ca.pugleaf.net!sparky!uunet!paladin.american.edu!darwin.sura.net!zaphod.mps.ohio-state.edu!cis.ohio-state.edu!news.sei.cmu.edu!firthReferences:
<1992Oct3.134653.20562@oracorp.com>Show Full Headers
Complete Article Headers
Newsgroups: sci.physics Path: arc1-ca.pugleaf.net!sparky!uunet!paladin.american.edu!darwin.sura.net!zaphod.mps.ohio-state.edu!cis.ohio-state.edu!news.sei.cmu.edu!firth From: firth@sei.cmu.edu (Robert Firth) Subject: Re: Quantum Zeno Effect, Part 1. Message-ID: <1992Oct5.123002.13912@sei.cmu.edu> Organization: Software Engineering Institute References: <1992Oct3.134653.20562@oracorp.com> Date: Mon, 5 Oct 1992 12:30:02 GMT Lines: 39