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: QM: Corrections to the energy

  1. Feb 12, 2009 #1
    1. The problem statement, all variables and given/known data
    Hi all.

    We are looking at a quantum mechanical system, where there is a perturbation H', so H = H0 + H', where H0 is the unperturbed Hamiltonian.

    The exact eigenenergies (i.e. the eigenenergies of H) are given by:

    E = V_0(1-\epsilon) \quad \tex{and}\quad E = V_0(1-\epsilon^2).

    So far so good. The eigenenergies of H0 (i.e. the unperturbed eigenenergies) are given by:

    E = V_0 \quad \tex{and}\quad E = V_0.

    The first order corrections to the eigenenergies of H0 are given by: [itex]E=0[/itex] and [itex]E=-\epsilon V_0[/itex].

    Here my question: How do I generally know which correction "belongs" to which unperturbed energy?

    My book is "Griffiths Intro to QM", so feel free to quote from there: The above example is exercise 6.9.

    Thanks in advance.

    Best regards,
    Last edited: Feb 12, 2009
  2. jcsd
  3. Feb 12, 2009 #2
    Ok, I answered this question myself. The energies are the same, so it doesn't matter which energy we add the constants to.
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook