Course offering missing for current semester as well as for previous and coming semesters

## Content and learning outcomes

### Course contents

In the first part of the course we highlight important concepts such as quantum state, observables, Schrödinger equation, uncertainty relation and several of the methods we will use to calculate physical properties of systems. This is illustrated by studying simple discrete quantum systems whose mathematical description only makes use of linear algebra. Throughout the course we continue to develop these methods to be able to study more complex systems. When doing this we introduce continous systems and study in detail some important cases such as; the quantum well, the harmonic

### Intended learning outcomes

The purpose of the course is to gain understanding of quantum mechanical concepts and phenomena as well as through practical excercises being able to solve simple quantum mechanical problems. After the course the student should be able to:- solve the time dependent Schrödinger-equation for discrete two-level systems and being able to apply this to simple problems involving electron spin and photon polarisation.- understand the quantum mechanical description of the measurement process and concepts such as complementarity and the uncertainty relation.- solve the Schrödinger equation for the continous case for simple potentials such as the quantum well and the harmonic oscillator.- use approximation methods such as perturbation theory and variational calculus.- understand and use the rules for additions of spin and angular momenta.- solve the Schrödinger equation for hydrogen like atoms.- understand the principles behind chemical bonding.

### Course Disposition

No information inserted

## Literature and preparations

### Specific prerequisites

Knowledge corresponding to courses in elementary calculus in one or several variables, linear algebra, classical mechanics, and thermodynamics and waves.

### Recommended prerequisites

No information inserted

### Equipment

No information inserted

### Literature

Introduction  to Quantum mechanics , D.J. GriffithsUpplaga:  Förlag: Prentice Hall År: 2005ISBN: 0131118927  Quantum Mechanics Demystified, David McMahonUpplaga:  Förlag: Mc Graw Hill År: 2005ISBN: 0-0-7-145546- Övrig litteraturFöreläsningsanteckningar, exempelsamling, laborationshandledningLecture notes, manual with solved problems, laboratory excercise instruction  Undervisningsspråk: Svenska

## Examination and completion

If the course is discontinued, students may request to be examined during the following two academic years.

A, B, C, D, E, FX, F

### Examination

• TEN1 - Examination, 7,5 hp, betygsskala: A, B, C, D, E, FX, F

Based on recommendation from KTH’s coordinator for disabilities, the examiner will decide how to adapt an examination for students with documented disability.

The examiner may apply another examination format when re-examining individual students.

The course has a written exam and a laboration. In order to have a passing grade both the exam as well as the laboration should be approved.

### Other requirements for final grade

Written exam at the end of the course.

### Opportunity to complete the requirements via supplementary examination

No information inserted

### Opportunity to raise an approved grade via renewed examination

No information inserted

### Ethical approach

• All members of a group are responsible for the group's work.
• In any assessment, every student shall honestly disclose any help received and sources used.
• In an oral assessment, every student shall be able to present and answer questions about the entire assignment and solution.

## Further information

### Course web

Further information about the course can be found on the Course web at the link below. Information on the Course web will later be moved to this site.

Course web IF1621

### Offered by

ICT/Material Physics

### Main field of study

Physics, Technology

### Education cycle

First cycle

No information inserted

### Supplementary information

During the course home assignment will occur.