Quantum Mechanics II

After establishing a fundamental knowledge on quantum mechanics in the preceding course, the main goal of this course is to practice more advanced concepts and further dig into the quantum world. This includes learning a few approximation methods of great usefulness. We, thus, get armed with powerful enough tools to engage realistic problems of physics. The problems with apparent simplicity but of educationally great importance. With this the students are expected to understand the more complicated physical concepts.

Outline:

• Review of the principles
• Spin
• Addition of angular momenta
• Systems with high degree-of-freedom
• Variational method
• Helium atom
• Time-independent perturbation theory
• Hydrogen atom: revisited
• Time-dependent perturbation theory
• Atom-field interaction
• Scattering theory
• Entanglement and its applications in the technology

References:

• Principles of Quantum Mechanics [by Shankar]
• Quantum Physics [by Gasiorowicz]
• Introduction to Quantum Mechanics [by Griffiths]

The lectures are mainly based on the first one.