Modern Physics: PHY 104 Spring Semester 2019
Assignment 4: Atomic and Laser Physics
Due Date: November 3
Note: Where graphs are needed, you can either print after drawing using computer or draw
approximate graphs on paper after viewing them on computer and properly label them.
Also, the (a, b, c) etc. represent column vectors and boldface represent vector quantities.
1. Using the same method as we used in the class for the hydrogenic atoms, derive the
selection rules for the radiative transitions in a one-dimensional quantum harmonic
oscillator. The wavefunctions for the 1D oscillators are provided in Sec. 2.4 of your
textbook including the required properties of the Hermite polynomials. [10 points]
2. Problem 4.8. [5 points]
3. Problem 4.9. [5 points]
1
,
Assignment 4: Atomic and Laser Physics
Due Date: November 3
Note: Where graphs are needed, you can either print after drawing using computer or draw
approximate graphs on paper after viewing them on computer and properly label them.
Also, the (a, b, c) etc. represent column vectors and boldface represent vector quantities.
1. Using the same method as we used in the class for the hydrogenic atoms, derive the
selection rules for the radiative transitions in a one-dimensional quantum harmonic
oscillator. The wavefunctions for the 1D oscillators are provided in Sec. 2.4 of your
textbook including the required properties of the Hermite polynomials. [10 points]
2. Problem 4.8. [5 points]
3. Problem 4.9. [5 points]
1
,
