BIP-20306 Introductory Quantum Mechanics

Course

Credits 6.00

Language of instruction:

Dutch

Assumed knowledge on:

Mathematics T (MAT-10806), Analysis and Modelling (MAT-23806) and Physics MLS (BIP-10303)

Contents:

1. Analogy between classical theory of waves and wave mechanics: Complex formulation, wave equation, waves and standing waves, dispersion, harmonic oscillator, dipole oscillator, scattering; Upon following this course the student will have insight in the elementary analogy between classical waves and wave functions in quantum mechanics. He will be able to apply appropriate physical laws related to waves and oscillations in a broad range of systems;
2. Conceptual problems of quantum mechanics: Two-split experiment, wave-particle dualism, probability interpretation, collapse of the wave function, EPR-paradox, cat of Schrödinger, projection postulate, interpretation schools, old quantum mechanics, Compton effect, relation between classical mechanics and quantum mechanics;
3. Introduction to quantum mechanics with emphasis on the mathematical aspects. Coming up: Schrödinger equation, eigenvalue equation, linear vector space, linear operators, Fourier transformation, wave function, standard deviation, potential energy problems, angular momentum, harmonic oscillator, time dependency, wave packets.

Learning outcomes:

- with this course the students will increase their knowledge in the field of mathematics and physics to be applied in molecular life sciences;
- in the field of mathematics they will have knowledge of the mathematical backgrounds of quantum mechanics and capability to apply these mathematical tools to solve problems;
- in the field of physics they will have knowledge of classical wave theory, oscillations and quantum mechanics being able to apply this in relevant areas of research;
- there will be insight in the conceptual issues of quantum mechanics and to demonstrate this for relatively simple problems.

Activities:

Study lecture notes, solve exercises, independent and under supervision.

Examination:

Written exam.

Literature:

Lecture notes: Introductory Quantum Mechanics