hwk7 - Find the value of the quantum number n if the marble...

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Physics 31: Homework #7 Due Thursday, March 20, 2008 Problem A: Find ∆ x for a particle described by the ground state wave function of an in±nite square well. You will need the following integrals: Z sin 2 xdx = 1 2 x - 1 2 sin x cos x Z x sin 2 xdx = 1 4 x 2 - 1 4 x sin 2 x - 1 8 cos 2 x Z x 2 sin 2 xdx = 1 6 x 3 - 1 4 x cos 2 x - 1 4 ³ x 2 - 1 2 ´ sin 2 x Problem B: A 1.0 gm marble is constrained to roll inside a tube of length L =1 . 0cm. The tube is capped at both ends. Model this system as a one dimensional in±nite square well.
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Unformatted text preview: Find the value of the quantum number n if the marble is initially given an energy of 1.0 mJ. Calculate the excitation energy required to promote the marble to the next available state. Do the following problems in Beiser: Chapter 5: 13, 15, 18...
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