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Quantum
Mechanics
FYSN17/FMFN01 (7.5 HP) |

Aim of the course

The
course shall deepen previous knowledge in quantum mechanics
and teach the student to handle typical problems in different
fields such as atomic, nuclear, solid-state, or elementary
particle physics.

Content

- Formulation of quantum mechanics in term of general state
vectors and operators

- Algebraic treatment of the harmonic oscillator (in one and
several dimensions)

- Angular momentum and spin
- Perturbation theory

- Outlook on many-body quantum physics

Syllabus (preliminary!):

week 1 repetition; fundamentals, bra-ket notation, bases, operators

week 2-3 matrix representation, subspaces, continuous state spaces, eigenvalues, diagonalization

week 3 harmonic oscillator, step operators, shell structure

week 4 angular momentum

week 5 spin

START PROJECT WORK

week 6 perturbation theory

week 7 summary and going through old exams

Expected previous knowledge

Basic knowledge (about 5-7 points) in quantum mechanics from different introductory courses

####

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Course
structure

The basic material is studied by a combination of lectures, self-study, and exercises.

There will be exercise lessons (with possibility for individual help and instruction) twice per week.

The project work will be performed in small groups of up to four students.

Towards the end of the course, each group shall present their project to their fellow students, giving a short talk at a common workshop.

Attendance to the whole workshop, and active participation in the project presentation, is mandatory. There is a written exam at the end of the course.

## Schedule and dates HT 2019

**
**## Requirements - project workshop
and exam

## Literature and Exercises

LECTURE NOTES can be downloaded here.

SUMMARY SLIDES can be downloaded here.

EXERCISES

WARM-UP EXERCISES for the first week and Solutions

Exercises for

WEEK 2 and Solutions

WEEK 3 and Solutions

WEEK 4 and Solutions

WEEK 5 and Solutions

**WEEK 6 and Solutions**

** ****WEEK
7 and Solutions**

**Formula
sheet** ** - Note: You'll get a fresh copy of this
formula sheet in the exam, you're not allowed to bring your
own.**

OLD EXAMPLE EXAM from 2014 and SOLUTIONS

OLD EXAMPLE EXAM from 2012 and SOLUTIONS

In addition, the following books are recommended as a primary source to read up on the material:

## Teachers

Stephanie M. Reimann (Lectures and project supervision)

Exercises - Mikael Nilsson-Tengstrand

For questions on the lectures, you can come to Stephanie's office, B303, in the first hour after the friday lecture.

Questions on the exercises are discussed in the exercise hours!

Publisher: Stephanie Reimann

Last Updated August 22, 2019 by SMR**
**

week 1 repetition; fundamentals, bra-ket notation, bases, operators

week 2-3 matrix representation, subspaces, continuous state spaces, eigenvalues, diagonalization

week 3 harmonic oscillator, step operators, shell structure

week 4 angular momentum

week 5 spin

START PROJECT WORK

week 6 perturbation theory

week 7 summary and going through old exams

Expected previous knowledge

Basic knowledge (about 5-7 points) in quantum mechanics from different introductory courses

The basic material is studied by a combination of lectures, self-study, and exercises.

There will be exercise lessons (with possibility for individual help and instruction) twice per week.

The project work will be performed in small groups of up to four students.

Towards the end of the course, each group shall present their project to their fellow students, giving a short talk at a common workshop.

Attendance to the whole workshop, and active participation in the project presentation, is mandatory. There is a written exam at the end of the course.

**Introduction meeting**during the first lecture, Wednesday 4 sept 2019, 10:15 in K404. In the introduction meeting, we discuss some of the practical matters, also regarding the project work. A short overview of the course material is given. We then begin directly with the first lecture.- See TimeEdit
for the exact schedule with dates, lecture halls, exam
etc.
**PROJECT WORKSHOPS Wednesday Oct. 16, 10-12, and Friday Oct.18, 8-10 and 10-12, in C368!!! Groups as assigned (you only come to the Workshop assigned to you).**

**All relevant information for the course is provided on this web page.**

- Passing the written exam. The student shall demonstrate that
he/she can apply the material discussed in the lecture to solve
the exercise problems.

- Project (in groups of up to max. four students) with oral
presentation (in English!) by each student. Assignments will be
given on a first-come-first-serve basis after the project
introduction in week 3 of the course. Participation in the
project workshop is mandatory.

INSTRUCTIONS FOR PROJECTS here.

Lists in front of Stephanie's office, you MUST register.

LECTURE NOTES can be downloaded here.

SUMMARY SLIDES can be downloaded here.

EXERCISES

WARM-UP EXERCISES for the first week and Solutions

Exercises for

WEEK 2 and Solutions

WEEK 3 and Solutions

WEEK 4 and Solutions

WEEK 5 and Solutions

OLD EXAMPLE EXAM from 2014 and SOLUTIONS

OLD EXAMPLE EXAM from 2012 and SOLUTIONS

In addition, the following books are recommended as a primary source to read up on the material:

- "Quantum Mechanics" by B. H. Bransden & C. J. Joachain, 2nd Edition, (Longman, New Jersey, 2000) ISBN 0582356911.
- "Modern Quantum
Mechanics" by J. J. Sakurai, Pearson Education, Upper
Saddle River, 2010, ISBN 9781292024103
(older edition from 1994 is equally fine).

Exercises - Mikael Nilsson-Tengstrand

For questions on the lectures, you can come to Stephanie's office, B303, in the first hour after the friday lecture.

Questions on the exercises are discussed in the exercise hours!

Publisher: Stephanie Reimann

Last Updated August 22, 2019 by SMR