Date | Lectures | Assignments | Notes | ||
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 | ||