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

Particle moving in x and theta

  1. Jan 4, 2007 #1
    How would one derive the hamiltonian for a particle moving in a potential in the x direction whilst also rotating with an angle of theta??

    I have tried deriving it the same way as the TISE using the angular momentum operator in 2d space but to no avail

    basically the particle is moving through a potential with an integer spin.

    would appreciate any pointers

  2. jcsd
  3. Jan 4, 2007 #2
    x and theta are not independent coordinates - there are spherical polar and cartesian hamiltonians, but deriving a hybrid of both would be obscene.

    Parametrise the particle's motion into either spherical polar or cartesian coordinates, first.
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook