课程名称︰物理化学二 课程性质︰必修 课程教师︰陈立仁 开课学院：工学院 开课系所︰化工系 考试日期（年月日）︰2012/6/7 考试时限（分钟）：60 是否需发放奖励金：是 （如未明确表示，则不予发放） 试题 : 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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