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FYS4410 - Computational physics II

Course content

This is an advanced course on computational physics with an emphasis on quantum mechanical systems with many interacting particles. The applications and the computational methods are relevant for research problems in such diverse areas as nuclear, atomic, molecular and solid-state physics, chemistry and materials science.
A theoretical understanding of the behavior of quantum-mechanical many-body systems - that is, systems containing many interacting particles - is a considerable challenge in that no exact solution can be found; instead, reliable methods are needed for approximate but accurate simulations of such systems on modern computers. New insights and a better understanding of complicated quantum mechanical systems can only be obtained via large-scale simulations. The capability to study such systems is of high relevance for both fundamental research and industrial and technological advances.

The aim of this course is to present applications of, through various computational projects, some of the most widely used many-body methods with pertinent algorithms and high-performance computing topics such as advanced parallelization techniques and object orientation.
The methods and algorithms that will be studied may vary from year to year depending on the interests of the participants, but the main focus will be on systems from computational material science, solid-state physics, atomic and molecular physics, nuclear physics and quantum chemistry. The most relevant algorithms and methods are microscopic mean-field theories (Hartree-Fock and Kohn-Sham theories and density functional theories), large-scale diagonalization methods, coupled-cluster theory, and quantum Monte Carlo like Variational Monte Carlo and Diffusion Monte Carlo approaches. Methods to study phase transitions for both fermionic and bosonic systems can also be addressed.

Learning outcomes

The course introduces a variety of central algorithms and methods for professional studies of quantum mechanical systems, with relevance for several problems in physics, materials science and quantum chemistry. The course is project based and through the various projects, normally two, the participants will be exposed to fundamental research problems in these fields, with the aim to reproduce state of the art scientific results. The students will learn to develop and structure large codes for studying these systems, get aquainted with supercomputing facilities and learn to handle large scientific projects. A good scientific and ethical conduct is emphasized throughout the course.

The course is also a continuation of FYS3150 - Computational physics, and it will give a further treatment of several of the numerical methods given there.

Admission

Courses with less than three students registrered will normally be cancelled.

Students at UiO must apply for courses in StudentWeb.

International applicants, if you are not already enrolled as a student at UiO, please see our information about admission requirements and procedures for international applicants.

Prerequisites

Recommended prior knowledge

FYS3150 - Computational physics

FYS3110 - Quantum mechanics or
FYS-MENA3110 - Kvantenanofysikk or
FYS4110 - Non-relativistic quantum mechanics or
FYS-KJM4480 - Quantum mechanics for many-particle systems

Overlap

5 credits against FYS4411 - Computational physics II: Quantum mechanical systems.

Teaching

The course is given in the spring term and contains 2 hours of lectures per week. The course also contains laboratory work and project work solved by using computers.

Exam information

Two projects have to be approved in order to be able to attend the oral exam. The final oral examination is based on these projects.

For detailed information about examinations at the Faculty of Mathematics and Natural Sciences please see http://www.matnat.uio.no/english/studies/index.html

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