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

Center of mass problem

  1. Nov 18, 2004 #1
    I don't know how to treat a center of mass corrections.
    Suppose to have a Slater determinant of N single-particle wavefunctions. If I make a traslation to center of mass of system, this is mean to move all particle in the following way:

    R_i ---> R_i - (sum_j {R_j}/N)

    But how have I to correct the gradient and laplacian terms?

    I think that there would be a kinetic energy correction. Is it true?

    Thank's!
     
  2. jcsd
  3. Nov 18, 2004 #2
    Since the gradient and laplacian contain "coordinate" (d/dx, d2/dx2..)terms one has to replace to coordinate with c.m. coordinates, there will ofcourse will be a kinetic energy correction as K.E. contains terms like (d2/dx2).
    In another words Physically kinetic energy is not invariant in different coordinate farmes.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?