Recent content by MontavonM

  1. M

    Matrix elements of the secular determinant for trial functions?

    This is the quantum part for solving wavefunctions of mulit-electron atoms that need to be approximated by the variation method. Specifically we are supposed to differentiate this equation using the quotient rule : E(c1,c2) = [(c1^2*H11 + 2c1c2H12 + c2^2*H22) / (c1^2*S11 + 2c1c2*S12 +...
  2. M

    Are These Wavefunctions Orthonormal in Spherical Coordinates?

    Given 2 wavefunctions with respect to (r,theta,phi)... To prove that the functions are orthonormal, you would let the first w.function = Y(psi) and the 2nd = Y* (psi star), then you would integrate --> SY*Y dr dtheta dphi (integral of psi* times psi) dr dtheta dphi. Correct?
  3. M

    To find the linear momentum of a function

    Yep, your right... I figured it out. Always nice when you're making it way more complicated than it is
  4. M

    To find the linear momentum of a function

    The linear momentum operator is (^ on top of) P, which is -ih(d/dx), where h is h bar, and the d's are partials... Now you operate on your function, easy enough. But this function is complex, f(x) = e^i5kx, and I'm assuming k is the kinetic energy operator. So the simple derivative of this...
  5. M

    Special conditions of a wavefunction?

    Thank you for the help!
  6. M

    Special conditions of a wavefunction?

    any pointers/help you could give me?
  7. M

    Special conditions of a wavefunction?

    Under what special conditions can a wavefunction that depends on a series of coordinates be written as a product of wavefunctions that only depend on one coordinate each? What can you say about the energy in this case? (This is a study/end of the chapter question (P.Chem))... I'm thinking it's...
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