FY544: Quantum mechanics I
Entry requirements
The course can not be followed by students who have passed the first part of FY507.
Academic preconditions
Knowledge of FT500: Mechanics and Thermodynamics, FT501: Mathematics and FT504: Electromagnetism and Optics is expected.
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.
Expected learning outcome
- Qualitatively describe the basic postulates and statements of quantum mechanics.
- Qualitatively explain how the wave function of a stationary state depends on the energy of the particle and the form of the potential.
- Apply the theory quantitatively to solve the Schrödinger equation that governs simple one-dimensional cases, both analytically and numerically.
- Apply fundamental quantum mechanics principles to determine the energy spectrum and wave functions corresponding to potential wells, the harmonic oscillator, and the Hydrogen atom.
- Calculate particle reflection and transmission
Content
- Hypotheses of quantum mechanics: Physical observables, operators, and expectation values; the Schrödinger equation, the wave function and its statistical interpretation
- The uncertainty principle
- Vector formalism and matrix formulation of quantum mechanics (“wavefunctions as vectors”), Dirac notation
- Bound states in 1D systems: the infinite square well and harmonic oscillator
- Scattering states in 1D systems: the free particle and finite square well; reflection and transmission coefficients, quantum tunnelling
- Introduction to crystals: Electrons in periodic potentials
- Quantum mechanics in three dimensions: orbital angular momentum and the hydrogen atom
Literature
See itslearning for syllabus lists and additional literature references.
Examination regulations
Exam element a)
Timing
Tests
Portfolio with oral examination
EKA
Assessment
Grading
Identification
Language
Duration
Examination aids
ECTS value
Additional information
Indicative number of lessons
Teaching Method
Planned lessons:
Total number of planned lessons: 48
Hereof:
Common lessons in classroom/auditorium: 48
The teaching consists of lectures in which the central topics of the course are reviewed. This is done both with general theory and via examples. Even though most of the teaching is based on lectures, there is a strong focus on involving the students via questions and discussions.
In the tutorials, it is expected that the students develop their skills via problem solving and discussions with the teacher and among themselves. The students will solve problems at the blackboard based on initial preparation at home and with the help of everybody else.
Other planned teaching activities:
- Study of the lecture notes, textbook and supplemental material.
- Completion of both analytical and numerical assignments from the classes.
Teacher responsible
| Name | Department | |
|---|---|---|
| Joel Cox | cox@mci.sdu.dk | Center for Polariton-driven Light-Matter Interactions (POLIMA) |
| Paulo André Dias Goncalves | padgo@mci.sdu.dk | Mads Clausen Instituttet (MCI) |