Quantum Mechanics II: TFY4205 Fall semester 2018


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


Mondays 09:15-11:00 in F6 and Wednesdays 12:15-14:00 in R10.

Exercise guidance

Mondays 11:15-12:00 in F6.


To be announced. Place will be announced on NTNUs webpages a few days before the exam. NB! The exam will ONLY be given in English.

Question hour

To be announced. If you send your questions in advance via email, I can provide a more thorough answer.

Reference group

Siv-Marie McDougall (smmcdoug at stud.ntnu.no) og Andreas Götestam Fossheim (andreagf at stud.ntnu.no). Here is a summary from the first reference group meeting.

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 lectures which in turn will follow closely "Intermediate Quantum Mechanics" which you can download here.

The part about periodic potentials and band theory is covered in the last chapter of "Introduction to Quantum Mechanics" which you can download here.

You can also find much of the same material covered in the Norwegian textbook "Kvantemekanikk" by P. C. Hemmer.


eBook "Intermediate Quantum Mechanics" eBook "Introduction to Quantum Mechanics" Old exams in TFY4205 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 3rd Solution #1
Exercise #2September 10th Solution #2
Exercise #3September 17th Solution #3
Exercise #4September 24th Solution #4

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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