TFFY54 · 6 credits · Advanced level (A1N) · Teknisk fysik, Fysik
Quantum Mechanics
Active · next start HT 2026
67%
passed the latest ordinary exam
TEN1 · 24 Oct 2025 · 24 students
66%
passed the ordinary exams, all sittings over the last 5 years
TEN1 · 104 students
67%
Harder than 67% of courses at advanced level
Compared with 285 courses at the same level, ordinary exams over the last three academic years. 47 students.
Part of 2 programmes
Exam
TEN1 Written examination
- 5
- 4
- 3
- U
Ordinary exams
66% passed · 104 students
- 67%24
- 96%23
- 72%18
- 39%23
- 56%16
Re-exams
50% passed · 14 students
- 56%9
- 40%5
- Pass the re-exam: 50% (14 students), compared with 66% (104 students) on the ordinary exam
- Get 4 or 5: 39% (118 students)
Show small sittings (10)
Sittings with fewer than 5 students, often credit transfers or special sittings. They are not part of any figure on this page.
- 100%4
- 67%3
- 100%1
- 50%2
- 0%2
- 67%3
- 100%1
- 100%1
- 25%4
- 100%1
About the course
Aim
The purpose of the course is to give the student a deeper understanding of quantum mechanics and to further develop the students ability to solve quantum mechanical problems. Following the course, the student should be able to:
- solve problems and conduct derivations based on the postulates of quantum mechanics.
- determine exact solutions, and use approximate solution methods.
- use various formal representations of quantum mechanics.
Content
Historical background. Wave-particle dualism. Wave packets. The time-dependent Schrödinger equation. Probability current density. Expectation values. Hermitian operators. Time-independent Schrödinger equation. Boundary conditions. Properties of eigenfunctions. General solution to the Schrödinger equation. Time evolution operator. The Dirac notation. State space. Adjoint operators. Unitary operators. Commutator.Rigorous proof of the general uncertainity principle. Matrix representation. Ehrenfest's theorem. The postulates of quantum mechanics. Harmonic oscillator with operator method. Operators as generators of translation and rotation. Symmetries and conservation laws. Generalized angular momentum. Spherical harmonics. Pauli spin matrices. Spin dynamics.Spherical symmetric potential. The hydrogen atom in magnetic fields. Spin-orbit coupling. Conceptual problems. Approximative methods: non-degenerate and degenerate perturbation theory; the variational method.
- Examiner
- Magnus Boman
- Scheduled hours
- 48 h
- Main field of study
- Teknisk fysik, Fysik