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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 (individual help, as well as solutions on white board) 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.

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 (individual help, as well as solutions on white board) 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 5 sept 2018, 10:15 in K404, see time edit. 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.
**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.

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 excercises are discussed in the exercise hours!

Publisher: Stephanie Reimann

Last Updated August 30, 2018 by SMR