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Unformatted text preview: Using the notion from relativity that E = mc 2 and the E = hv show that momentum (mc) = h/lambda. Other problems from Dr. Vanden Bout for the particle in a box problem. 1. What is the probability of finding the particle in the box between x=0 and x=L/2 for the n=1 state? Show your math explicitly What about the n=3 state? You can simply reason this one if you like. 2. For the n=4 state at what distance is the probability of finding the particle the largest? At what distance are the nodes? 3. If you redefined the edges of the particle in the box such that is started at x=-L/2 and ended and x=L/2, what would the lowest energy wavefunction look like? 4. What is the zero point energy for a 3-dimensional particle in box whose size are L x = 1 , L y = 2, and L z = 1? 5. For a three dimensional particle in a box with equal sides, what is the degeneracy of the energy state that is 6 times the lowest energy state?...
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This note was uploaded on 11/10/2011 for the course CH 301H taught by Professor Campion during the Spring '07 term at University of Texas at Austin.
- Spring '07