MP463: Quantum Mechanics II

Lecturer: Dr. Jiří Vala

Office: Room 1.9, Mathematical Physics, Science Building, North Campus

Phone: (1) 708 3553

E-Mail: jiri DOT vala AT nuim DOT ie

Course Requirements

• 80% written examination at the end of the first semester (duration: 90 min)
• 20% continuous assessment

NOTE THAT CONTINUOUS ASSESSMENT IS AN IMPORTANT PART OF YOUR TOTAL MARK AND IS NOT APPLIED TO STUDENTS' ADVANTAGE

Course Syllabus

• Quantum mechanics of angular momentum
• Particle in a central potential
• Exactly solvable problems: the hydrogen atom and three-dimensional isotropic hormonic oscillator
• Electron spin
• Addition of angular momentum
• Stationary perturbation theory
• Applications of perturbation theory: fine and hyperfine structure of the hydrogen atom
• Time-dependent perturbation theory
• Systems of identical particles

Primary texts that the lectures are based on

C. Cohen-Tannouudji, B. Diu, F. Laloe, Quantum Mechanics I & II,  (John Wiley and Sons)

Lecture notes

1. Introduction: Postulates of quantum mechanics
2. Quantum mechanics of angular momentum
3. Particle in a central potential
4. Electron spin
5. Addition of angular momentum
6. Stationary perturbation theory and its applications
7. Time-dependent perturbation theory. Systems of identical particles.

Assignments & Solutions

1. Assignment 1
2. Assignment 2
3. Assignment 3
4. Assignment 4
5. Assignment 5
6. Assignment 6
7. Assignment 7
8. Assignment 8
9. Assignment 9
10. Assignment 10