1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: General question about wavefunctions

  1. Apr 29, 2012 #1
    1. The problem statement, all variables and given/known data
    Is it possible given a wavefunction ψ(x,t) to find the probability that the particle is at a particular location over an interval of time?

    2. Relevant equations

    3. The attempt at a solution
    Intuitively, given that the probability of finding the particle in a region a<x<b at a time t is ∫ab|ψ(x,t)|2dx, i would guess that the probability of finding the particle ti<t<tf at the point x would be ∫titf|ψ(x,t)|2dx. However, this leads to a bit of a paradox: this integral can leads to probabilities greater than 1, which would suggest that I am missing something pretty critical.
  2. jcsd
  3. Apr 29, 2012 #2
    If you observe the position at t=ti wave function changes or contracts so it is a mess.
    If you do not observe, you cannot say anything about position at t = ti or about staying in point x.
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook