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Unformatted text preview: [5] A particle of mass m is con F ned to a tube of length L. (a) Use the Uncertainty Principle to estimate the smallest possible energy. (b) Assume that the inside of the tube is a forcefree region and that the particle makes elastic re f ections at the tube ends. Use Schrödinger’s equation F nd the groundstate energy for the particle in the tube. Compare the answer to that of part (a). [6] Consider the second excited state (n=3) in a onedimensional in F nite square well potential lying between 0 < x < L. (a) What is the expectation value of x? (b) What is the expectation value of x 2 ? [7] The energy of a certain state can be measured with an uncertainty of 2 eV. What is the minimum lifetime of this state? 1...
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 Spring '08
 Jordan
 Energy, Kinetic Energy, Mass, Work

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