Objectives and Content
Starting from a small set of axioms this course provides a systematic introduction to basic quantum mechanics. The presentation makes extensive use of concepts from linear algebra. A number of simple model systems are used to illustrate how problems may be described by quantum mechanics and also to exemplify quantum mechanical (i.e. non-classical) phenomena. An exposition of the quantum mechanical theory of angular momentum is given up to and including coupling of two momenta. The students learn mathematical methods for obtaining approximate descriptions of quantum mechanical systems. Many molecules show some degree of symmetry, and the students learn how to exploit this when solving quantum mechanical problems.
After completing the course KJEM221 the student will be able to:
- identify and describe fundamental concepts in the quantum mechanical theory and apply these to analyze idealized processes of measurement.
- develop quantum mechanical models for simple systems and use these to exemplify characteristic features in quantum mechanical systems.
- describe electronic and spectroscopic systems by means of the quantum mechanical theory of angular momentum.
- use mathematical techniques to construct approximate quantum mechanical models.
- Analyze molecular symmetry and exploit this when determining orbitals.
Recommended Previous Knowledge
MAT121 Linear algebra.
Teaching Methods and Extent of Organized Teaching
The organized teaching consists of lectures and written exercises.
Lectures: 4h per week for 14-15 weeks.
Written exercises: 2h per week for 13-14 weeks.
Compulsory Assignments and Attendance
At least 6 of the 13-14 sets of written exercises must be approved. Approval requires personal attendance. Compulsory assignments are valid for 5 subsequent semesters.
Forms of Assessment
Digital written examination (4h). Oral exam if few participants.
Examination Support Material
Non- programmable calculator according to model listed in faculty regulations and five (5) A4 pages of the student's own handwritten notes.
The grading scale used is A to F. Grade A is the highest passing grade in the grading scale, grade F is a fail.
PHYS201: 10 ECTS, K221: 10 ECTS
Examination both spring semester and autumn semester. In semesters without teaching the examination will be arranged at the beginning of the semester.
The students should obtain basic knowledge in quantum mechanics. Moreover, the foundations are given for more applied methods.
The course will be evaluated by the students in accordance with the quality assurance system at UiB and the department
For written exams, please note that the start time may change from 09:00 to 15:00 or vice versa until 14 days prior to the exam. Autumn 2020 written exams will be arranged either at home or on campus. Please see course information on MittUiB.
Type of assessment: Written examination
- 09.12.2020, 09:00
- 4 hours
- Examination system
- Digital exam
Type of assessment: Oral examination