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Unformatted text preview: Physics 2D — Spring 2010 Quiz #5 Friday May 14 11:00am to 11:50am [Note: This is a closedbook exam. No calculator is allowed. The total score of this exam is 50 points. Points assigned to each problem is a guide to how many minutes you should spend working on it.] Possibly useful formulae: • Heisenberg’s uncertainty principle: Δ x · Δ p ≥ ¯ h/ 2 • timeindependent Schr¨ odinger’s equation in 1dimension: ¯ h 2 2 m d 2 dx 2 ψ + U ( x ) ψ ( x ) = Eψ ( x ) • transmission coefficient through square barrier of height U and length L : T ( E ) ≈ exp  2 q 2 m ( U E ) ¯ h L . 1 1. Short Answers: [12 total points] (a) What is the condition on a finite square well of depth U and width L in order for a particle of mass m trapped in it to regard the well as similar to an infinite square well? why? [4 points] (b) Sketch and explain qualitatively the difference between the ground state wave function of a very shallow and a very deep square well. Indicate the regions that are classicallyof a very shallow and a very deep square well....
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This note was uploaded on 09/13/2010 for the course PHYS phys 2d taught by Professor Hirsch during the Spring '08 term at UCSD.
 Spring '08
 Hirsch
 Physics, Work

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