Recent content by cpmiller

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    Principle Quantum Number - Transition

    Homework Statement Is the following transition allowed? [4,3,0,1/2] -> [4,2,1, -1/2] If so, find the energy involved and whether the photon is absorbed or emitted for the hydrogen atom. Homework Equations Selection rules for allowed transitions: \Deltan = anything \Deltal =\pm1...
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    Simple Harmonic Oscillator - Schrodinger Equation

    Jdwoods, Thanks so much for your help! I really appreciate both the math checking and the encouragement that my way of approaching the problem wasn't totally off base, plus your writing of the Schroedinger equation helped me understand this better! I think I'm going to have to learn...
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    Simple Harmonic Oscillator - Schrodinger Equation

    Feldoh, Thanks for your response. I had a feeling my solution wasn't right and I couldn't figure out why... at least I've learned a way to know I'm wrong. Jdwood, I think that my Schroedinger equation is for the harmonic oscillator. I like your way of writing it a lot better than the...
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    Simple Harmonic Oscillator - Schrodinger Equation

    Argh...Double and triple checking my post and I leave out obvious things... α2 = m*k / \hbar2 The potential is k*x2 /2 so having the α in the Shrodinger equation should include the potential. I'm relatively certain that the Schrodinger equation that I gave above is correct, in that it is...
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    Simple Harmonic Oscillator - Schrodinger Equation

    Homework Statement One possible solution for the wave function ψn for the simple harmonic oscillator is ψn = A (2*αx2 -1 ) e-αx2/2 where A is a constant. What is the value of the energy level En? Homework Equations The time independent Schrodinger wave equation d2ψ / dx2 =...
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    Summing Waves Using Complex Notation

    Thanks for the response:smile: I went back and used your suggestion to try to make my original post a bit more "user friendly." Your answer helped a lot and I managed to figure the problem out this morning!
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    Summing Waves Using Complex Notation

    Homework Statement Carry out the addition of two waves Ψ=Ψ1+Ψ2 where Ψ1 = Asin[(k+δk)x - (w+δw)t] Ψ2 = Acos[(k-δk)x - (w-δw)t] by means of the complex-number representation and interpret the result. (Hint: You may find it convenient to rewrite the sine as a cosine by introducing a phase...
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