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

Potential in QM

  1. Apr 3, 2013 #1
    In classical mechanics is defined potential and kinetical energy for particular particle. For example, in case of free fall potential energy of the particle is ##mgh## and kinetic energy is ##\frac{m\upsilon^2}{2}##. In QM there isn't potential of the particle, but potential of part of the space. For example particle could be in the space part where whole energy of the particle is less then potential. Could you explain me this? I'm really confused with this.
     
  2. jcsd
  3. Apr 3, 2013 #2

    mfb

    User Avatar
    2016 Award

    Staff: Mentor

    There is no such difference between classical mechanics and QM. The potential for a specific particle is a function of space both in quantum mechanics and classical mechanics. The total energy is a property of the particle both in quantum mechanics and classical mechanics.
    That is a difference, right. In quantum mechanics, the particle can be at locations forbidden for a classical particle (as it does not have enough energy).
     
  4. Apr 3, 2013 #3
    In case one can get a matrix element and take it's non relativistic form,fourier transform of it gives a potential.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook