[理学]南京大学量子力学习题解答.pdf

. 作业题简答 . . . .. . R. Shen shen@nju.edu.cn Department of Physics Nanjing University Fall 2008 . . . . . . Shen (NDP) 作业题简答 Fall 2008 1 / 153 Chapter 1 理解电子的波粒二象性，能对电子行为的量子特征有较好的把握。 1.. 能正确理解各种杨氏双缝实验。 . 2.. 能利用爱因斯坦公式或德布罗意公式计算给定能量的光子或电子的 . 波长，相速，群速等。 . . . . . . Shen (NDP) 作业题简答 Fall 2008 2 / 153 Exercise 1 1.. Consider the Compton effect. Find the increase in the photon’s . wavelength as a function of the scattering angle. 2.. What is the de Broglie wavelength of an electron of energy 100 eV, . How does it compare with atomic sizes? 3.. What is the de Broglie wavelength of an electron in the accelerator of . energy about 100 GeV. Why are such high energies necessary? 4.. Find the phase velocity and group velocity of the de Broglie wave with . wavelength λ. Consider both the relativist