final-08 - ECE 3060 Intoduction to Quantum and Statistical...

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ECE 3060: Intoduction to Quantum and Statistical Mechanics ECE, Cornell University Dec 19, 2008 Prof. Edwin Kan Fall 2008 Name: Cornell ID: Final Exam Rules of the Exam (Please read carefully before start) 1. This is an open-book, open-note exam. You are allowed to use your computer as a browser for downloaded course files, but you are NOT allowed to connect to Internet in any form. Connection to Internet during the exam will be considered as violation of academic integrity. 2. Grading will ONLY consider what you legibly put down on the exam paper. References to textbook or class notes will NOT count for credit. Irrelevant answers, even though the content is correct, will NOT receive any partial credit. Wrong information will always cause a deduction in total credit. 3. The time for the exam will be exactly 2.5 hours . Do not be trapped in a question you cannot answer, and use your time wisely for distributing your efforts in different problems. Do not diverge into irrelevant answers, since this will negatively impact your performance. BEST WISHES
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2 Handout : Final Exam 1. (4 points) Which of the following is not a direct contribution from Paul A. M. Dirac? (a) The relativistic Schr¨ odinger equation (b) The bracket notation in finite-base approximation (c) The statistics of Fermions (d) Fermi’s golden rule (e) Canonical conjugates in uncertainty principle (such as ( x, p ), ( E, t ), etc.) (f) Quantization of angular momentum in hydrogen atom 2. What are the Fourier transforms of the following functions in the reciprocal k - space?
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