# TFY4205 - Quantum Mechanics II

### Examination arrangement

Examination arrangement: School exam

Evaluation Weighting Duration Grade deviation Examination aids
School exam 100/100 4 hours C

### Course content

Approximation methods in quantum mechanics. Scattering theory. Atoms and electrons in magnetic fields. Coherent states. Density matrix and entanglement. Field quantization and radiation theory. Measurement and interpretation. Introduction to electron bands in solids.

### Learning outcome

KNOWLEDGE | The candidate should have knowledge about: - Fundamental concepts and the mathematical formalism used in the general formulation of quantum mechanics (QM) - Different types of approximation methods used in QM and which of these that is suitable for a given system - How scattering of particles can be treated in a QM fashion - QM effects caused by a magnetic field and quantization of the magnetic field itself - Fundamental concepts within quantum statistics and entanglement - How periodic potentials can be used to give a simple description of the conduction properties of materials SKILLS | The candidate should, among other things, be able to - Compute wavefunctions and energy eigenvalues via degenerate and non-degenerate perturbation theory, both time-dependent and time-independent - Compute the QM scattering cross section for particles scattering on potentials/other particles in a variety of situations, including low energy, high energy and for identical particles - Compute QM phases that arise in certain physical systems and how these phases are manifested in observables - Determine if a quantum state is pure, mixed and/or entangled  and compute the density matrix of the system - Compute Bloch-functions and bandstructure for a system with a simple periodic potential GENERAL COMPETENCY | The candidate should be able to: - Understand different principles utilized to construct approximative methods in QM - Understand how scattering of particles can provide important information about physical interactions - Assess the consequence of treating a magnetic field in a QM system in either a classical or quantum mechanical fashion

### Learning methods and activities

Lectures and calculation exercises. The course will be given in English if students on the international master program in physics are attending the course. Expected work load in the course is 225 hours.

### Further on evaluation

The re-sit examination (in August) may be changed from written to oral. Since the lectures and lecture material are in English, the exam will only be given in English.

### Course materials

"Intermediate Quantum Mechanics" by Jacob Linder, free to download at Bookboon.com. Supporting course material: P.C. Hemmer: Kvantemekanikk, Tapir, 2000. B. H. Bransden and C. J. Joachain: Quantum mechanics, Prentice Hall, 2000.

### Credit reductions

Course code Reduction From To
SIF4045 7.5
More on the course

No

Facts

Version: 1
Credits:  7.5 SP
Study level: Second degree level

Coursework

Term no.: 1
Teaching semester:  AUTUMN 2021

Language of instruction: English

Location: Trondheim

Subject area(s)
• Physics
• Technological subjects
Contact information
Course coordinator: Lecturer(s):

Department of Physics

# Examination

#### Examination arrangement: School exam

Term Status code Evaluation Weighting Examination aids Date Time Examination system
Autumn ORD School exam 100/100 2021-12-09 15:00
• * The location (room) for a written examination is published 3 days before examination date. If more than one room is listed, you will find your room at Studentweb.
Examination

For more information regarding registration for examination and examination procedures, see "Innsida - Exams"

More on examinations at NTNU