Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Simple question on Born

  1. Jul 31, 2014 #1

    nomadreid

    User Avatar
    Gold Member

    If I have the formulation right, the Born rule says that the probability that a measurement for the position of the particle at time t will be in the real interval [a,b] equals ∫ab|ψ(x,t)|2dx. Fine. So, is the probability that a continuous measurement for the position of the particle will be in the real interval [a,b] at least once during the time interval [t1,t2] just equal to ∫t1t2ab|ψ(x,t)|2dx dt, or does this not work? If not, is there a more appropriate calculation?
     
  2. jcsd
  3. Jul 31, 2014 #2

    bhobba

    Staff: Mentor

  4. Jul 31, 2014 #3

    atyy

    User Avatar
    Science Advisor

  5. Jul 31, 2014 #4

    nomadreid

    User Avatar
    Gold Member

    Thanks, bhobba and atyy. Never considered that! Fascinating....
     
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook