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Unformatted text preview: Physics 246, Spring 2007 Midterm Exam Wednesday, March 28, 2007 • Answer all questions, using the paper provided. Begin each problem on a sepa- rate sheet. The pages will be separated for grading, so clearly label the problem number and put your name on EACH PAGE. • One 8.5 by 11 inch cheat sheet (front and back) allowed. No other books, calculators or notes allowed. • SHOW ALL WORK. • Potentially useful information: Z nπ (sin 2 θ ) dθ = Z nπ (cos 2 θ ) dθ = nπ 2 Z + ∞-∞ e ix ( k- k ) dx = 2 π δ ( k- k ) a 2 y 2 + by = ( ay + b 2 a ) 2- b 2 4 a 2 Z + ∞-∞ e- y 2 dy = √ π ˆ a † | n > = √ n + 1 | n + 1 > ˆ a | n > = √ n | n- 1 > 1 1. Short answer (10 points total). You do not need to explain your answers in this problem unless explicitly asked to do so. (a) (3 points) What are the units of ¯ h ? What physical quantity has the same units? (b) (3 points) True or false (no explanation necessary): i. A free particle wave function with the minimum uncertainty product...
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This document was uploaded on 09/10/2009.
- Spring '09