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Quantum Mechanics

Title
Quantum Mechanics
Semester
F2023
Master programme in
Physics * / Mathematical Physical Modelling * / Physics and Scientific Modelling
Type of activity

Course

Teaching language
English
Study regulation

Read about the Master Programme and find the Study Regulations at ruc.dk

Læs mere om uddannelsen og find din studieordning på ruc.dk

REGISTRATION AND STUDY ADMINISTRATIVE
Registration

Sign up for study activities at stads selvbetjening within the announced registration period, as you can see on the Studyadministration homepage.

When signing up for study activities, please be aware of potential conflicts between study activities or exam dates.

The planning of activities at Roskilde University is based on the recommended study programs which do not overlap. However, if you choose optional courses and/or study plans that goes beyond the recommended study programs, an overlap of lectures or exam dates may occur depending on which courses you choose.

Number of participants
ECTS
10
Responsible for the activity
Dorthe Posselt (dorthe@ruc.dk)
Trond Ingebrigtsen (trond@ruc.dk)
Head of study
Studieleder for Fysik (fys-sl@ruc.dk)
Teachers
Study administration
INM Registration & Exams (inm-exams@ruc.dk)
Exam code(s)
U60047
ACADEMIC CONTENT
Overall objective

The course is offered for a short period of time and only to students who have passed the Bachelor Course in Problem Solving I.

Quantum mechanics is treated as a self-consistent theoretical foundation in physics. Emphasis is placed on the student's acquisition of an in-depth understanding of, and practice in, problem solving within quantum mechanics, as well as an insight into different interpretations of quantum mechanics.

Detailed description of content

Quantum mechanics may be the most profound revolution in our understanding of the physical world and is in addition forming the basis for the development of technological milestones such as the laser and the semiconductor.

The course aims at giving students a working knowledge of the quantum mechanical formalism which may appear strange and very abstract, but leads to quantitative predictions of e.g. the optical emission spectrum of atomic hydrogen.

The introduction to the course is a historic and philosophical overview, while the main part of the course introduces the Schrödinger equation and solve the equation for different simple (model) cases.

The quantum mechanical formalism is developed and finally the Schrödinger equation is solved for a real case: the hydrogen atom. The main emphasis in the course is on an intrinsic understanding of the formalism and application of the formalism to solve simple quantum mechanical problems.

Course material and Reading list

The course follows a text book, fx Introduction to Quantum Mechanics by David J. Griffiths and Darrell F. Schroeter. (Details will be specified on Moodle).

Additional material is uploaded to Moodle.

Overall plan and expected work effort

The course will be planned as a mixture of lectures and solving of problems (pen and paper) including discussions of problems. In addition the students will work with solving quantum mechanical problems numerically.

Quantum Mechanics 10 ECTS = 270h. Contact hours: 36+36+12=84 h

  • Lectures 36 h

  • Preparation for lectures 72 h

  • Problem solving 36 h (in class)

  • Preparation for problem solving 72 h

  • Mini projects 12+12=24 h (12 in class, 12 independent work)

  • Preparation for exam 26 h

  • Exam 4h

Format
Evaluation and feedback

The course includes formative evaluation based on dialogue between the students and the teacher(s).

Students are expected to provide constructive critique, feedback and viewpoints during the course if it is needed for the course to have better quality. Every other year at the end of the course, there will also be an evaluation through a questionnaire in SurveyXact. The Study Board will handle all evaluations along with any comments from the course responsible teacher.

Furthermore, students can, in accordance with RUCs ‘feel free to state your views’ strategy through their representatives at the study board, send evaluations, comments or insights form the course to the study board during or after the course.

Programme

The course will be planned as a mixture of lectures and solving of problems (analytically and numerically) including discussions of problems.

Class by Class program will be posted on Moodle during the course.

ASSESSMENT
Overall learning outcomes

After completing the course the students will be able to

  • in-depth knowledge and understanding of quantum mechanics, seen as a self-consistent theoretical foundation in physics

  • knowledge and understanding of different interpretations of quan-tum mechanics

  • proficiency in solving problems and tasks relevant in quan-tum mechanics

  • proficiency in applying a variety of frequently used mathemati-cal methods in quantum mechanics

  • competences in assessing the relevance of applying quantum mechan-ics to a given physical research question

  • competences in determining which method(s) can be applied in solv-ing a given research question in quantum mechanics.

Form of examination
Individual written invigilated exam

The duration of the exam is 5 hours.

Permitted support and preparation materials for the exam: A formulae collection of max. one A4 size page (both sides of the paper may be used) made by the student.


Assessment: 7-point grading scale.
Moderation: Internal co-assessor.
Form of Re-examination
Samme som ordinær eksamen / same form as ordinary exam
Type of examination in special cases
Examination and assessment criteria

The exam consist of a set of problems.

The assessment is based on the student's skill to

  • in-depth knowledge and understanding of quantum mechanics, seen as a self-consistent theoretical foundation in physics

  • proficiency in solving problems and tasks relevant in quan-tum mechanics

  • proficiency in applying a variety of frequently used mathemati-cal methods in quantum mechanics

Exam code(s)
Exam code(s) : U60047
Last changed 06/03/2023

lecture list:

Show lessons for Subclass: 1 Find calendar (1) PDF for print (1)

Friday 03-02-2023 08:15 - 03-02-2023 12:00 in week 05
Quantum Mechanics (PSM)

Monday 06-02-2023 12:15 - 06-02-2023 16:00 in week 06
Quantum Mechanics (PSM)

Wednesday 08-02-2023 10:15 - 08-02-2023 12:00 in week 06
Quantum Mechanics - study groups (PSM)

Thursday 09-02-2023 10:15 - 09-02-2023 12:00 in week 06
Quantum Mechanics (PSM)

Friday 10-02-2023 08:15 - 10-02-2023 10:00 in week 06
Quantum Mechanics (PSM)

Monday 13-02-2023 12:15 - 13-02-2023 16:00 in week 07
Quantum Mechanics (PSM)

Wednesday 15-02-2023 10:15 - 15-02-2023 12:00 in week 07
Quantum Mechanics - study groups (PSM)

Thursday 16-02-2023 10:15 - 16-02-2023 12:00 in week 07
Quantum Mechanics (PSM)

Friday 17-02-2023 08:15 - 17-02-2023 10:00 in week 07
Quantum Mechanics (PSM)

Monday 20-02-2023 12:15 - 20-02-2023 16:00 in week 08
Quantum Mechanics (PSM)

Wednesday 22-02-2023 10:15 - 22-02-2023 12:00 in week 08
Quantum Mechanics - study groups (PSM)

Thursday 23-02-2023 10:15 - 23-02-2023 12:00 in week 08
Quantum Mechanics (PSM)

Friday 24-02-2023 08:15 - 24-02-2023 10:00 in week 08
Quantum Mechanics (PSM)

Monday 27-02-2023 12:15 - 27-02-2023 16:00 in week 09
Quantum Mechanics (PSM)

Wednesday 01-03-2023 10:15 - 01-03-2023 12:00 in week 09
Quantum Mechanics - study groups (PSM)

Thursday 02-03-2023 10:15 - 02-03-2023 12:00 in week 09
Quantum Mechanics (PSM)

Friday 03-03-2023 08:15 - 03-03-2023 10:00 in week 09
Quantum Mechanics (PSM)

Monday 06-03-2023 12:15 - 06-03-2023 16:00 in week 10
Quantum Mechanics (PSM)

Thursday 09-03-2023 10:15 - 09-03-2023 12:00 in week 10
Quantum Mechanics (PSM)

Monday 13-03-2023 12:15 - 13-03-2023 16:00 in week 11
Quantum Mechanics (PSM)

Thursday 16-03-2023 10:15 - 16-03-2023 12:00 in week 11
Quantum Mechanics (PSM)

Monday 20-03-2023 12:15 - 20-03-2023 16:00 in week 12
Quantum Mechanics (PSM)

Thursday 23-03-2023 10:15 - 23-03-2023 12:00 in week 12
Quantum Mechanics (PSM)

Monday 27-03-2023 12:15 - 27-03-2023 16:00 in week 13
Quantum Mechanics (PSM)

Thursday 30-03-2023 10:15 - 30-03-2023 12:00 in week 13
Quantum Mechanics (PSM)

Monday 03-04-2023 12:15 - 03-04-2023 16:00 in week 14
Quantum Mechanics (PSM)

Thursday 13-04-2023 10:15 - 13-04-2023 12:00 in week 15
Quantum Mechanics (PSM)

Monday 17-04-2023 12:15 - 17-04-2023 16:00 in week 16
Quantum Mechanics (PSM)

Thursday 20-04-2023 10:15 - 20-04-2023 12:00 in week 16
Quantum Mechanics (PSM)

Monday 24-04-2023 12:15 - 24-04-2023 16:00 in week 17
Quantum Mechanics (PSM)

Thursday 27-04-2023 10:15 - 27-04-2023 12:00 in week 17
Quantum Mechanics (PSM)

Monday 01-05-2023 14:15 - 01-05-2023 16:00 in week 18
Quantum Mechanics (PSM)

Thursday 04-05-2023 10:15 - 04-05-2023 12:00 in week 18
Quantum Mechanics (PSM)

Monday 08-05-2023 14:15 - 08-05-2023 16:00 in week 19
Quantum Mechanics (PSM)

Thursday 11-05-2023 10:15 - 11-05-2023 12:00 in week 19
Quantum Mechanics (PSM)

Monday 15-05-2023 14:15 - 15-05-2023 16:00 in week 20
Quantum Mechanics (PSM)

Monday 22-05-2023 14:15 - 22-05-2023 16:00 in week 21
Quantum Mechanics (PSM)

Tuesday 30-05-2023 13:00 - 30-05-2023 15:00 in week 22
Quantum Mechanics - Question Hour (PSM)

Friday 09-06-2023 10:00 - 09-06-2023 15:00 in week 23
Quantum Mechanics - Exam (PSM)

Thursday 10-08-2023 10:00 - 10-08-2023 15:00 in week 32
Quantum Mechanics - Reexam (PSM)