hw2_1101 - EECE 7201 Homework#2 Due Jan 31 2011 1 Problem...

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EECE 7201, Homework #2, Due Jan. 31, 2011 1. Problem 1.7, text. 2. Problem 1.9, text. 3. Problem 1.14, text. 4. For GaAs, how many Ga atoms are in each conventional cubic unit cell? In a primitive unit cell? For Si, how many atoms are in each conventional cubic unit cell? In a primitive unit cell? 5. Problem S1A.8, text. Hint: Because the function does not need to go to zero at x=0, both sine and cosine functions can be solutions, and the solutions alternate! 6. a. Determine an approximate ground state energy for a basketball in a gym!! Use (very) approximate masses and sizes. You can assume a one-dimensional gym. b. To what energy level does motion across the gym at 30 miles/hour correspond? (What is the approximate quantum number, "n"?) c. Does the quantum formulation reduce to the expected, non-quantized classical result? Explain. 7. a. Determine the product of the uncertainty in momemtum and position, Δ p Δ x, for the n=4 state in the infinite potential well.
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