classes_winter07_113AID181_SelfEvaluation_1_Chem113A_W07

classes_winter07_113AID181_SelfEvaluation_1_Chem113A_W07 -...

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1 Self Evaluation #1 (Chem113A W’07, Fri. 02/02/07 5:00-7:00pm+20mins, 100+5pts, max=100pts) Name: _______ By writing down my name, I confirm that I strictly obey the academic ethic code when taking this exam. (i) Five questions + one extra credit question. Please budget your time. You may want to start with the parts you are more familiar with. Formula sheets are attached at the end. Need more formula? Please raise your hand. (ii) It is very important to show calculation or algebraic details. (iii) Theme and coverage of SE#1 is shown below. (iv) Academic ethics need to be strictly obeyed. No exceptions and no kidding. Theme of SE#1. This flowchart may summarize how quantum mechanics works in modern science. The theme of this exam is to put this flowchart into practice. Step #1, “Spectroscopic Phenomena” Æ “Physical Model”, asks for a high level of experience, insight, creativity, and original thinking (that’s exactly why we integrate “research frontiers” and “advanced topics” into this course) and may be better left for problem set exercises. In the following, we will practice the other 3 steps. [1] Big Picture: with CM, Who Needs QM? (total = 24 pts) [1](a) Warm-up (1 pts) Relax and you will do better. In this course, we have adopted different mechanisms to make the lectures/materials more entertaining and impressive, in order to communicate serious, deep concepts in QM. For example, please circle the most relevant answer to the following question (no explanation needed): The thought experiment which Schrodinger used to illustrate the inconsistency between microscopic theories and macroscopic theories is called: (Remark: for [1](a) and [1](b), right answer, get 1 point and thank you for being so engaged in lectures; wrong answer, deduct 50 points—what were you doing in lectures?) [1](b) Goals of this course (1 pts) In this course, we have established ambitious goals, high standards, and solid (exhausting?) action plan in order not only to understand the amazing microscopic world but also to apply the true understanding one day in our careers (and if possible and lucky enough, to save a lot of lives?!). The lecture materials come from different textbooks, research articles, and the instructor’s exposure and research experience in QM. Please circle one of the following books that is least likely to be referred by the instructor and least relevant to this course?
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2 [1](c) Success of CM: Bohr’s Correspondence Principle (4 pts) Bohr’s “Correspondence Principle” says, “In the classical limit, quantum results approach classical results”. It implies: in the classical limit, we do not need QM! Please use the energy density distribution ρ ( ν ,T) for a blackbody to demonstrate Bohr’s correspondence principle. That is, please prove by algebra that as T Æ (classical limit), ρ ( ν ,T) = (Planck’ s distribution, from QM) approaches (Rayleigh-Jeans law, from CM). Please show algebraic details. [1](d) Success of CM: Bohr’s model on H-like atoms (5 pts)
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This note was uploaded on 10/12/2009 for the course CHEM 113A taught by Professor Lin during the Winter '07 term at UCLA.

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classes_winter07_113AID181_SelfEvaluation_1_Chem113A_W07 -...

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