Recent content by spdf13

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    Best Textbook for Quantum Mechanics

    I've always liked Griffiths best, followed by Shankar. These books do leave out some higher level physics, but on the most part they explain the material very well.
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    Graduate Can I Couple Angular Momenta Into One Big One?

    I've been doing a lot of reading on this subject lately. You are completley correct in stating that you can first add j1 and j2, and then add this to j3. Likewise you can first add j2 and j3 and add this to j1. These product eigenstates are related through the wigner 6J coefficients.
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    Simple Quantum Mechanics Problem

    Well, here's an idea. Since the atom is in its ground state, you don't have to worry about orbital angular momentum, only its spin. Therefore the force is equal to something like: F=grad(u.B) where u is the magnetic dipole which is proportional to S (the spin of the electron) and the...
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    Webpage title: How to Calculate <x> for a One-Dimensional Harmonic Oscillator

    Here's the problem: A one dimensional harmonic oscillator has mass m and frequency w. A time dependent state psi(t) is given at t=0 by: psi(0)=1/sqrt(2s)*sum(n=N-s,n=N+s) In> where In> are the number eigenstates and N>>s>>1. Calculate <x>. Show it varies sinusoidally; find the...
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    Graduate Solve Ehrenfest's Theorem: Find Position Expectation Value

    I don't remember all the details, but I thought for a potential proportional to r^2, you should expect out the classical value for such quantities as force and energy. You might want to try finding the classical value of the force for a particle confined to a circle using classical lagrangian...
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    Graduate Wigner-Eckert Theorem: Definition & Understanding

    Thanks for your help everyone. I've been reading a lot of stuff about this in the last couple days and I think I got it. For my problem I am trying to calculate the dipole transition matrix elements for Rb87. After finding all the hyper fine sublevels, I could express my dipole operator as a...
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    Graduate Wigner-Eckert Theorem: Definition & Understanding

    Thank you but this isn't quite what I had in mind. The wigner-eckart theroem has something to do with the fact that when you want to find the matrix elements of an irreducible tensor operator, you can separate them into a product of the reduced tensor independent of the quantum number m, and...
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    Graduate Quantum Tech: Examples & Details

    I'm working on a single atom quantum teleprotation experiment right now. It involves being able to "teleport" the exact quantum state of an isolated atom to another via an entangled photon source. When you ask what quantum means, the best and most simple explanation I can give is its the...
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    Graduate Wigner-Eckert Theorem: Definition & Understanding

    Can anyone give me a consice definition of what the Wigner-Eckert Theorem is? I've been reading about it but am finding it difficult to understand. Any help would be appreciated.