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Quantum
Mechanics
FYSN17/FMFN01 (7.5 HP) |

N01-0001 "XKSSTEL" 4G (70p/100)

N17-0002 "PÄRON" U (38p/100)

N17-0001 "popolo" 4 G (78p/100)

RESULTS OF EXAM

For looking at your written exam please contact Johannes.

He can then make an appointment with you.

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

- PROJECT WORKSHOP shifted to following week (October 18)!

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

- PROJECT WORKSHOP shifted to following week (October 18)!

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 on Wednesday, August 31, 2016, 8:15 sharp, in lecture hall FYS: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. or click here
to download schedule in .pdf

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

which is regularly updated and should be checked by you every week!

**SUMMARY LECTURE wednesday
oct 19 at 9:00 in K404
Download pdf **

- 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.

**PROJECT REGISTRATION IS NOW CLOSED!****The date for the project workshop is now CHANGED to October 18, 8:45-13:00. This in order to make it possible to still have classroom teaching in the last week of the course, where we will summarize the material and go through some old exams as well.**

**Project assignments have been communicated by e-mail.**

LECTURE NOTES can be downloaded here.

Andreas' lecture on time-dependent perturbation theory and links to recent research on quantum cascade lasers, click here

(the content of the lecture will not be part of the exam!)

EXERCISES

The exercise sheet for each week will be uploaded here at the latest after the wednesday lecture.

WARM-UP EXERCISES for the first week and Solutions

Exercises for

WEEK 2 and Solutions

WEEK 3 and Solutions

WEEK 4 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 - NN.

For questions on the lectures, you can come Fridays at 12-13 to Stephanie's office, B303.

Questions on the excercises are best and preferably discussed in the exercise hours!

Please attend the exercises, as they are essential for your understanding of the course material.

Publisher: Stephanie Reimann

Last Updated August 15, 2016 by SMR