FS 2018: Introduction to Computational Quantum Mechanics (4 CP)
Contents of the Lecture
Quantum mechanics is too complicated to be done by hand. Even relatively simple problems, such as two interacting particles in a one-dimensional trap, do not have analytic solutions and require the use of computers for their solution and visualization. More complex problems scale exponentially with the number of degrees of freedom, and make the use of large computer simulations unavoidable.
This course will revisit most of the problems encountered in introductory quantum mechanics, focusing on computer implementations for finding analytical as well as numerical solutions and their visualization. We will use these implementations as building blocks for solving more complex problems such as the coherent laser-driven dynamics in the Rubidium hyperfine structure or the Rashba interaction of an electron moving in 2D.
The course will be taught in the Mathematica programming language. No prior knowledge of Mathematica is necessary, and Mathematica licenses will be provided. Alternatives to Mathematica, such as Matlab or Maple, may be used by the students, but only limited help will be available from the instructor.