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Unformatted text preview: (b) Use the uncertainty principle to estimate the ground state energy o± a harmonic oscillator. The harmonic oscillator energy is given by: E = p 2 2 m + 1 2 mω 2 x 2 Hint: Follow the same procedure as in Problem 5 (SMM #24) above. 1 7. SMM Ch. 5: Problem #34 8. In a double slit electron experiment with slits of unequal width, the following is observed. There is, of course, no interference pattern if one of the slits is kept closed. If slit #2 is closed the intensity (number of electrons) of the observed maximum on the screen behind slit #1 is 16 times larger than the intensity observed behind slit #2 when the experiment is repeated with slit #1 closed. Consider now the interference pattern observed when both slits are open. What is the ratio I max /I min of the intensities I max and I min seen, respectively, at the maxima and minima of the interfernece pattern? 2...
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 Fall '08
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 mechanics, Work, Statistical Mechanics, Uncertainty Principle, SMM Ch.

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