FY547: Quantum mechanics II
Comment
Entry requirements
Academic preconditions
Knowledge of Calculus, Linear algebra and Fundamentals of physics is expected. FY521 / FY544 should be taken.
Course introduction
the quantum mechanical wave mechanics and its application to different
physical phenomena supplemented by an introductory training in the
mathematical formalism and problem solving.
The course gives an
academic basis for further studies in quantum physics, as well as
studies among others the topics particle physics and solid state
physics, that are placed later in the education. The course is the
continuation of FY544.
In relation to the competence profile of the degree it is the explicit focus of the course to:
- give skills to apply physical principles and mathematical tools to formulate and solve physical models
- give knowledge and understanding of quantum mechanics
- give ability to acquire new knowledge in an effective and autonomous way and apply this knowledge reflectively
- give understanding of how scientific knowledge is obtained by an interplay between theory and experiment
Expected learning outcome
The learning objectives of the course is that the student demonstrates the ability to:
- apply different analytical methods to characterize simple quantum systems
- use different abstract formulations of quantum mechanics
- work with angular momentum
- perform perturbation calculations
- use variational methods for approximate calculations
Content
- Analytic solution of the harmonic oscillator using ladder operators
- The formalism of quantum mechanics
- The theory of angular momentum
- Time-independent perturbation theory
- Time-dependent perturbation theory
- Variational calculations
- Uncertainty principle
Literature
See Blackboard for syllabus lists and additional literature references.
Examination regulations
Prerequisites for participating in the exam element a)
Timing
Tests
Presentation of an exercise during the tutorials
EKA
Assessment
Grading
Identification
Language
Examination aids
To be announced during the course
ECTS value
Additional information
The prerequisite examination is a prerequisite for participation in exam element a)
Exam element a)
Timing
Prerequisites
| Type | Prerequisite name | Prerequisite course |
|---|---|---|
| Examination part | Prerequisites for participating in the exam element a) | N500049101, FY547: Quantum mechanics II |
Tests
Oral exam
EKA
Assessment
Grading
Identification
Language
Examination aids
To be announced during the course
ECTS value
Additional information
The examination form for re-examination may be different from the exam form at the regular exam.
Indicative number of lessons
Teaching Method
At the faculty of science, teaching is organized after the three-phase model, i.e. intro, training and study phase.
The attendance classes of the course are distributed as follows:
- Intro phase (lectures): 14 hours
- Training phase: 28 hours, including 14 hours tutorial classes and 14 hours group work
- Total: 42 hours
The introduction phase consists of lectures, in which the core topics of the course are presented, and a particular focus is placed on mathematical derivations along with reflection on the quantum mechanical insights following from the mathematics.
The training phase is aimed at building the students’ competencies through problem solving and presentations. In the tutorial classes, the students present problem solutions to their peers, and in the group work classes, they work independently on problem solving using both pen and paper and computational tools. The training phase is carried out under the supervision of an instructor.
In the study phase, the students are expected to study the text book and other materials on their own and to catch up with exercises from the training phase as needed.
The study phase further includes completion of written assignments, for which the students can expect feedback from a teacher.
The work load of the course is expected to be evenly distributed over the semester.