课程名称︰近代物理 课程性质︰系选修 课程教师︰林清富 开课学院：电机资讯学院 开课系所︰电机系 考试日期（年月日）︰2011/1/10 考试时限（分钟）：3小时 是否需发放奖励金：是 （如未明确表示，则不予发放） 试题 : 1.A beam of electrons is incident with energy of 0.4eV, the energy of potential barrier is 3.0 eV.The current of incident side is measured as 1.00A.What is the magnitude of current on the other side of barrier?(10%) 2.The potential energy is distributed as the following function: V(x)=∞ as x＜0 V(x)=0.5kx^2 x≧0 What is the total energy that corresponding to each energy level?(10%) 3.There is a 3-Dimensional cubic box with the length of each side L. The potential energy inside the box is zero, otherwise infinite large. If the energy of ground state is called E1,what is the degeneracy of E3? That is, the degeneracy of the second excited state?(10%) 4.(a) What is the angular momentum of the electrons of hydrogen atom with quantum number l=1 and l=2? And their projection on the z-axis? Please list all possibilities.(5) (b) What is the corresponding projection angle?(5) 5.The potential energy of a particle is distributed as following: V(r)=0 for r＜R V(r)=Vo for r≧R (a)What is the quantization of the angular momentum of the electrons on the shells?(Hint:L=? or L^2=?)(10%) (b)Please assign the quantum numbers of three electrons which are in the ground state of the system.(10%) 6.Please calculate the position r of maximum possibility of occurence of the electron n=2 l=0?(Hint: R20(r)=1/2√2*a0^-3/2*(2-r/a0)*exp(-r/2a0)) (10%) 7.The total atomic angular momentum is called J which corresponds to index j=5/2. (a)What are the possible values of index l?(5%) (b)What is the angle between L and S for the largest l such that J=L+S?(5%) 8.Can the ground state of rotational energy level be occupied by more than two electrons?Why?(6%) 9.Can the ground state of vibrational energy level be occupied by more than two electrons?Why?(6%) 10.Please compare the difference of Fermions and Bosons.(8%) --

※ 发信站: 批踢踢实业坊(ptt.cc) ◆ From: 61.231.145.236