※ [本文转录自 NTU-Exam 看板] 作者: abacada (1/24音乐会) 看板: NTU-Exam 标题: 90学年度第2学期林敏聪普物期末考 时间: Thu Jan 23 00:33:58 2003 2002. 6.18 1.Please write down Maxwell's equations with brief interpretation.(10%) 2.(a)What is the relation between E, B and the velocity υ of the electromagnetic wave? (5%) (b)Please derive the relation of c=(μ0ε0)^(-1/2) and E/B =c in a traveling electromagnetic wave in application of Maxwell's equations. (10%) 3.(a)Please derive the energy-momentum relation in relativity: E^2 = C^2 * p^2 + (m0 * c^2)^2 (10%) (b)Please show that a particle whose mass ar rest is zero must travel with velocity equal to c. (15%) 4.Please show and explain what is the Compton shift? (10%) 5.Please write down the Schroedinger equation for a guantum well system with length L and infinite deep potential well. (10%) Solve the Schroedinger equation and obtain the quantized energy and the related wave function. (20%) 6.Explain the concept of duality, and give two examples (described in details, please) for the "wave" behaving as "particle" and "particle" as "wave", respectively. (10%) 7.What is the Stern-Gerlach experiment? Please give the interpretation of the experiment. (10%) 8.Good luck!!! (Total 110%) --

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