Quantum Mechanics II: TFY4205 Fall semester 2017


Below you will find information about the lecture and exercise hour times and rooms in addition to the exam and question hour date.


Mondays 12:15-14:00 in R10 and Fridays 12:15-14:00 in S5. The last lecture will take place on Monday 13th of November.

Exercise guidance

Friday 14:15-15:00 in S5. The last guidance hour will take place on Monday 13th of November.


December 20th, 09:00-13:00. Place will be announced on NTNUs webpages a few days before the exam. NB! The exam will ONLY be given in English.

Question hour

December 12th at 10:30 in R10. If you send your questions in advance via email, I can provide a more thorough answer.

Reference group

Lina Johnsen (linagj@stud.ntnu.no) and Ola Nielsen Estensen (olaes@stud.ntnu.no).

A summary from the first reference group meeting (September 12th) is found here. A summary from the second reference group meeting (November 7th) is found here.

Lecture plan

Rough plan for the semester - deviations may occur.

34Introduction: Review of basic principles in QM, general formulation of QM, Hilbert space, bra-ket notation, different representations.
35Harmonic oscillator: Harmonic oscillator, creation/annihilation operators, coherent states, more on Hilbert space, Heisenberg and Schrodinger picture,
36Approximative methods part I: Non-degenerate and degenerate time independent perturbation theory, Stark effect, variational method
37Approximative methods part II + Time-dependent pert. theory: WKB-approximation, time-dependent perturbation theory part. I
38Time-dependent perturbation theory part. II + Adiabatic approximation: Transients, harmonic perturbations, scattering from a weak potential, adiabatic approximation
39Berry phase + Sudden approximation: introduction to Berry phase, sudden approximation, and examples.
40Scattering theory part I: introduction of basic concepts and applications to simple examples, Born-approximation
41Scattering theory part II: continued Born-approximation, partial-wave expansion
42Scattering theory part III: the optical theorem, Lab and CM frames, scattering of identical particles
43Magnetic field: Zeeman effect, Landau levels, Aharonov-Bohm effect, flux quantization
44Quantized radiation theory: Coherent states, spontaneous and stimulated emission
45Introduction to density matrix and quantum statistics part I: mixed states, density operator and matrix
46Introduction to density matrix and quantum statistics part II: continued mixed states, density operator and matrix, polarization
46Periodic potentials and intro to band theory: Bloch functions, energy bands, conducting properties of solids


The curriculum is defined by the following chapters in the PCH book:

  • Chapter 6.1-6.7
  • Chapter 7.1-7.3, 7.5
  • Chapter 10 (NB! Newly added)
  • Chapter 11.1-11.3
  • Chapter 13.1-13.9
  • Chapter 14.1-14.4
  • Chapter 16.1-16.3 (except Casimir effect)

as well as the following chapters in the B&J book:

  • Chapter 9.4-9.5
  • Chapter 14.1-14.2 (up to "The scattering of particles of spin 1/2 by particles of spin 0")

The material covered in the lectures is found in the free eBook "Intermediate Quantum Mechanics" (see link below). Chapter 10 in the PCH book is covered in the last part of the free eBook "Introduction to Quantum Mechanics" (see link below).


eBook "Intermediate Quantum Mechanics" eBook "Introduction to Quantum Mechanics" Old exams in TFY4205 Note on nearly degenerate pert. theory A deeper look into using continuous eigenvectors as a basis
Missing from the above link to old exams are the following: 2014, 2015a, 2015b, 2016 and their solutions (2014, 2015a, 2015b, 2016).


The exercises are not mandatory, but highly recommended.

Exercise SheetGuidance dateSolution
Exercise #1September 1st Solution #1
Exercise #2September 8th Solution #2
Exercise #3September 15rd Solution #3
Exercise #4September 22th Solution #4
Exercise #5September 29th Solution #5
Exercise #6October 6th Solution #6
Exercise #7October 13th Solution #7
Exercise #8October 20th Solution #8
Exercise #9November 3rd Solution #9
Exercise #10November 10th Solution #10
Exercise #11NB! November 13th Solution #11

Keys to success

The lectures will cover important aspects in the course

Work hard: understand, don't memorize

Don't skip the written exercises


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