phys3313-lec11 - Physics 3313 - Lecture 11 Wednesday...

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Physics 3313 - Lecture 11 9/30/2009 1 3313 Andrew Brandt Wednesday September 30, 2009 Dr. Andrew Brandt 0. HW 4 due today HW5 due 10/7 Test ch 1-5 10/14 1. Eigenvalues 2. QM Particle in a box 3. Finite Potential Well
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Eigenvalues Solutions for Schrodinger’s Eq. are called Eigenvalues for example, for Hydrogen atom (as we’ll see in Ch. 6) The wave functions corresponding to solutions are called eigenvectors To generalize where is an operator and G n is a real number (every time you make measurement you get the same eigenvalue) Note not all variables are quantized For non-quantized variables, you get a spread of values whose average is the expectation value Ex. an electron’s energy is quantized but its position is not 9/28/2009 3313 Andrew Brandt 2 nn EE ψψ = n GG = G * G G dx −∞ = 4 222 2 0 1 32 n me E n πε  = −   n ψ
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Eigenvalue Examples If operator is and wave function is find eigenvalue So eigenvalue is 4 How about sin(kx)?
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phys3313-lec11 - Physics 3313 - Lecture 11 Wednesday...

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