課程名稱︰物理化學二 課程性質︰必修 課程教師︰陳立仁 開課學院：工學院 開課系所︰化工系 考試日期（年月日）︰2012/6/7 考試時限（分鐘）：60 是否需發放獎勵金：是 （如未明確表示，則不予發放） 試題 : problem 1. Assume that the three wave functions Ψ1, Ψ2, and Ψ3 are normalized and orthogonal. (1) What is the difference between probability and probability density in terms of Ψ1? (2) Normalize the following functions: (a)Ψ1+Ψ2 (b)Ψ1-Ψ2 (c)Ψ1+Ψ2+Ψ3 problem 2. (1) What is the zero-point energy for a harmonic oscillator? (b) What is the zero-point energy for a rigid linear rotor? problem 3. (1) What is the tunneling effect? (2) Describe the working principle of scanning tunneling microscope. problem 4. True or false? If it is false, give your explanation. (1) The particle-in-a-box ground state has quantum number n=0. (2) The particle-in-a-box stationary state wave functions are discontinuous at certain points. (3) The maximum probability density for every particle-in-a-box stationary energy state is at the center of the box. problem 5. Write down the wave function for ground state of lithium by using Slater determinant. --

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