量子化学习题及标准答案扬州美景
Chapter 01
1. A certain one-particle, one-dimensional system has , where a理科班 and 我和我的祖国朗诵稿b are constants and m is the particle’s mass. Find the potential-energy function V for this system. (Hint: U the time-dependent Schrodinger equation.)
Solution：依赖近义词As (x,t) is known, we can derive the corresponding derivatives.
创意线描画According to time-dependent Schroedinger equation,
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substituting into the derivatives, we get
2. At a certain instant of time, a one-particle, one-dimensional system has 变和弦, where b = 3.000 nm. If a measurement of x is made at this time in the system, find the probability that the result (a) lies between 0.9000 nm and 0.9001 nm (treat this interval as infinitesimal); (b) lies between 0 and 2 nm (u the table of integrals, if necessary). (c) For what value of x is the probability density a minimum? (There is no need to u calculus to answer this.) (d) Verify that is normalized.
