弘毅量子力学2017A1

武汉大学物理科学与技术学院 2017－2018(一)

《量子力学》课程期末考试试题 A 卷

学号： 姓名： 专业： 得分：

1. (15 points)A particle of mass m in the infinite square well has the initial wave

function:

,

of the energy(4 points).

2. (16 points)Construct the angular momentum matrices (

for a system of

.

4. (20 points)The Hamiltonian for a certain three-level system is prepresented by the

matrix

,

where ω,λ and μ are positive real numbers

(a). Find the eigenvalues and normoalized eigenvectors of H, A and B(4 points);

(b). Suppose the system starts out in the generic state