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31444-01 - Lecture with internship: Introduction to computational quantum mechanics 4 CP

Semester spring semester 2018
Course frequency Irregular
Lecturers Roman Schmied (, Assessor)
Content - introduction to Mathematica, operator algebra and non-commutative multiplication
- one-dimensional time-independent Schrödinger equation, interacting particles in one dimension, time-dependent Schrödinger equation
- finite Hilbert spaces, spin-1/2 qubits, spin-j systems, Clebsch-Gordan algebra
- tensor-product formalism for combining different degrees of freedom
- lattice spin problems
- spin-statistics theorem, bosons, fermions
- atomic structure: He, H2+, spatial basis sets, hyperfine dynamics
Learning objectives 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.

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.
Comments The lecture can be given either in English or in German.
Weblink lecture script


Admission requirements - quantum mechanics
- basic knowledge of computer programming
Language of instruction English
Use of digital media No specific media used
Course auditors welcome


Interval Weekday Time Room

No dates available. Please contact the lecturer.

Modules Module Computational Sciences II (Bachelor Computational Sciences)
Module Methods in Computational Chemistry (Bachelor Computational Sciences)
Module Methods in Computational Physics (Bachelor Computational Sciences)
Module Specialisation (Master Chemistry (Start of studies before 01.08.2017))
Module Specialisation: Physics (Master Physics)
Module Specialisation: Physics (Master Nanosciences)
Assessment format continuous assessment
Assessment details Semester project
Assessment registration/deregistration Reg.: course registration, dereg: cancel course registration
Repeat examination no repeat examination
Scale 1-6 0,5
Repeated registration as often as necessary
Responsible faculty Faculty of Science,
Offered by Departement Physik