Recent content by MontavonM
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Graduate 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 +...- MontavonM
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- Determinant Elements Functions Matrix trial
- Replies: 1
- Forum: Quantum Physics
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Graduate 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?- MontavonM
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- Wavefunctions
- Replies: 2
- Forum: Quantum Physics
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Graduate 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- MontavonM
- Post #3
- Forum: Quantum Physics
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Graduate 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...- MontavonM
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- Function Linear Linear momentum Momentum
- Replies: 2
- Forum: Quantum Physics
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Graduate Special conditions of a wavefunction?
Thank you for the help!- MontavonM
- Post #5
- Forum: Quantum Physics
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Graduate Special conditions of a wavefunction?
any pointers/help you could give me?- MontavonM
- Post #3
- Forum: Quantum Physics
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Graduate 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...- MontavonM
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- Conditions Wavefunction
- Replies: 4
- Forum: Quantum Physics