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: Total Reflection of a Classical Particle off a Two-Dimensional Potential

  1. Jun 11, 2012 #1
    1. The problem statement, all variables and given/known data
    This question is motivated by Problem 8, Ch 1 of Cohen-Tannoudji's "Quantum Mechanics". Suppose that you are given a two dimensional potential of the form V(x,y) = V if x>0 and V(x,y)=0 if x<0. A particle travels toward the the potential obliquely, i.e. neither parallel to the x-axis nor to the y-axis, and its kinetic energy is less than V. Describe the classical trajectory of the particle upon reflection.

    2. Relevant equations

    Presumably, conservation of the y-component of momentum and conservation of energy.

    3. The attempt at a solution
    The classical trajectory is described as a "lateral shift upon reflection." I assume that the answer will somehow depend on the angle \theta between the trajectory and the normal to the surface. Thanks!
    Last edited: Jun 11, 2012
  2. jcsd
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook

Can you offer guidance or do you also need help?
Draft saved Draft deleted