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

Changing the Hamiltonian without affecting the wave function

  1. Mar 9, 2014 #1
    How many ways can we change the Hamiltonian without affecting the wave functions (eigenvectors) of it.
    Like multiply all the elements in the matrix by a constant.
    I'm facing a very difficult Hamiltonian,:cry: I want to simplify it, so the wave function will be much easier to derive.
    Thanks in advance.
  2. jcsd
  3. Mar 9, 2014 #2


    User Avatar
    Science Advisor
    Gold Member

    Try Canonical transformations.

    Or revert to the Lagrangian and work it over - much more freedom there - then convert it back. This is equivalent to the canonical transformations.
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook