Ph 652   Quantum Mechanics II

Physics Department, Oregon State University

Winter 2024 term

Instructor: Oksana Ostroverkhova (Wngr 413)
Lectures: MWF 9am, Weniger 304
Course Information
(pdf file) 


DateLectures AssignmentsNotes
01/08 Motion in central potentials. (notes)      
01/10 Two-body problem. (notes)Orbital angular momentum. HW 1 (solutions)    
01/12 Ladder operators. (notes)   WS 1  
01/15 Martin Luther King   day  
01/17 no class: snow day    
01/19 Rotation of diatomic molecules.(notes) HW 2 (solutions) WS 2 PRL2004 for HW2
01/22 Hydrogen atom.(notes) HW 3 (solutions)    
01/24 Hydrogen atom. Hydrogen-like atoms and ions.(notes) HW 4 (solutions) WS 3  
01/26 Other examples of particles in spherically-symmetric potentials. (notes)     
01/29 Angular momentum and rotations. (notes)   WS 4    
01/31 Rotations in the state space. (notes) HW 5(solutions) WS 5  
02/02 Spin. (notes)   WS 6  
02/07 Tensor products. Rotations in the spin space.(notes)   WS 7 4 Pi Rotations(PRL 1975)
02/09 Representations of the rotation operator. (notes)   WS 8  
02/12 Midterm  
02/14 Spherical harmonics as rotation matrices. (notes) HW 6(solutions) WS 9
02/16 Addition of angular momenta.(notes)  
02/19 Examples of addition of angular momenta. (notes)
02/21 Addition of angular momenta: general formalism.(notes)   WS 10 Example of addition of angular momenta: singlet fission(Annu Rev Phys Chem 2019)
02/23 Spectroscopic notations. (notes)
02/26 Addition of more than 2 angular momenta. Rotation matrices for coupling two angular momenta. (notes) HW 7(solutions) WS 11 How to make electron to be a spin-3/2 particle !(PRL 2020)
02/28 Scalar, vector and tensor operators. Properties of spherical tensors. (notes)   WS 12
03/01 Properties of spherical tensors (ctd).(notes) HW 8(solutions)
03/04 Wigner-Eckart theorem.(notes)   WS 13
03/06 Time-independent perturbation theory: non-degenerate case.(notes)   WS 14
03/08 Time-independent perturbation theory: non-degenerate vs degenerate case.(notes)    
03/11 Applications of time-independent perturbation theory: fine structure of the hydrogen atom.(notes)   WS 15
03/13 Applications of time-independent perturbation theory: fine structure of the hydrogen atom (ctd).    
03/15 Applications of time-independent perturbation theory: hyperfine structure of the hydrogen atom.(notes) Final exam: Thursday, March 21, 2-4 pm, Weniger 304 WS 16