This course covers quantum mechanical treatment of the following topics.
* particle motion in central force
* charged particles in background magnetic field
* variational and perturbation theory
At the end of this course, students will be able to:
* Explain the energy spectrum of a hydrogen atom and its behavior in a background magnetic field by using Schroedinger's equation.
* Apply variational and perturbative methods.
Schroedinger's equation, angular momentum, spin, hydrogen atom, Zeeman effect, fine structure, perturbation, variational methods
✔ Specialist skills | Intercultural skills | Communication skills | Critical thinking skills | Practical and/or problem-solving skills |
A quiz is given at each class.
Course schedule | Required learning | |
---|---|---|
Class 1 | Schroedinger's equation in thee-dimensional space | Understand a derivation of the energy spectrum of a particle in a cuboid. |
Class 2 | motion in central force | Derive the Schroedinger equation in the spherical coordinate system. |
Class 3 | angular momentum | Understand the definition of the angular momentum and the commutation relations among its compinents. |
Class 4 | spherical harmonics | Understand the relation between particle motion on a sphere and spherical harmonics. |
Class 5 | hydrogen atom | Derive the energy spectrum of a hydrogen atom. |
Class 6 | Atoms in magnetic fields | Understand the interaction between charged particles and background magnetic fields. |
Class 7 | spin | Understand the similarity and the difference between spin and orbital angular momentum. |
Class 8 | Midterm exam to assess the students’ level of understanding on what has been taught so far and explanation of solutions | Review topics that has been taught so far. |
Class 9 | rotation and angular momentum | Confirm that the angular momentum generates rotations. |
Class 10 | fune structure | Understand what causes the fine structure of the D-line of Na. |
Class 11 | variational method | Understand the variational method |
Class 12 | time independent perturbation theory | Apply the time-independent perturbation theory |
Class 13 | time dependent perturbation theory | Apply the time-dependent perturbation theory |
Class 14 | product of angular momenta | Calculate composite angular momenta |
Class 15 | Summary | Summarize your knowledge in QM. |
Assigned later
Assigned later
Evaluated by a midterm and final exams.
Students should have completed Quantum Mechanics I