FY544: Quantum mechanics I
Comment
Entry requirements
The course cannot be followed by students who have passed FY521.
The course can not be followed by students who have passed the first part of FY507.
Academic preconditions
Course introduction
The aim of the course is to give the students a basic understanding of the quantum mechanical wave mechanics and its application to different physical phenomena supplemented by an introductory training in the mathematical formalism and problem solving. Furthermore, the fundamental probabilistic nature of quantum mechanics is used in the course as an opportunity to reflect on the philosophy of science behind obtaining new knowledge through experimental observation and the generation of hypotheses.
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.
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 the method of obtaining scientific knowledge through an interplay between theory and experiment founded in the philosophy of science.
Expected learning outcome
- qualitatively explain how the wave function of a stationary state depends on the energy of the particle and the form of the potential
- solve the Schrödinger equation for simple one-dimensional cases, both analytically and numerically
- explain the energy spectrum of the infinite well, the harmonic oscillator, and the Hydrogen atom and know the form of the associated wave functions
- calculate particle reflection and transmission
- understand how band structure emerges in one-dimensional periodic potentials.
Content
- Schrödinger equation
- Wave function and its probability interpretation
- Characterising the wave functions of the stationary states and the energy
- Specific 1D systems (potentials), for instance infinite square well, finite square well, harmonic oscillator, and free particle
- Superposition principle
- Spherically symmetric systems
- The Hydrogen atom
- Periodic potentials
- Scattering in 1D
- Tunnel Effect
Literature
See Blackboard for syllabus lists and additional literature references.
Examination regulations
Exam element a)
Timing
Tests
Oral examination
EKA
Assessment
Grading
Identification
Language
Examination aids
ECTS value
Additional information
Reexamination in the same exam period or immediately thereafter.
Indicative number of lessons
Teaching Method
- Completion of the assignments from the classes.
- Study of notes and textbook