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Unformatted text preview: e-y 2 H n ( y ) H m ( y ) . (c) Using these results, compute the matrix elements of X and P between two energy eigenfunctions of the one-dimensional simple harmonic oscillator: h n | X | m i and h n | P | m i . 4. Calculate the probability that a particle in the ground state of the one-dimensional simple harmonic oscillator is farther from the origin than the classical turning points (where E = V ). 5. Evaluate both sides of the uncertainty relation for the n th energy eigenstate of the one-dimensional simple harmonic oscillator. 1...
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This note was uploaded on 12/14/2009 for the course QUANTUM I 731 taught by Professor Everett during the Fall '09 term at Wisconsin.
- Fall '09