FYS9411 - Computational physics II: Quantum mechanical systems
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 outcome
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
PhD candidates from the University of Oslo should apply for classes and register for examinations through Studentweb.
If a course has limited intake capacity, priority will be given to PhD candidates who follow an individual education plan where this particular course is included. Some national researchers’ schools may have specific rules for ranking applicants for courses with limited intake capacity.
PhD candidates who have been admitted to another higher education institution must apply for a position as a visiting student within a given deadline.
The examination in this course is not available for external candidates. Only students admitted to the course may sit for the examination.
Prerequisites
Formal prerequisite knowledge
Id does not exist in shared textRecommended previous knowledge
FYS3150 - Computational physicsFYS3150 - Computational physics
FYS3110 - Quantum mechanicsFYS3110 - Quantum mechanics or
FYS-MENA3110 - Kvantenanofysikk (discontinued)FYS-MENA3110 - Kvantenanofysikk or
FYS4110 - Non-relativistic quantum mechanicsFYS4110 - Non-relativistic quantum mechanics or
FYS-KJM4480 - Quantum mechanics for many-particle systemsFYS-KJM4480 - Quantum mechanics for many-particle systems
Overlapping courses
10 credits overlap with FYS4411 - Computational physics II: Quantum mechanical systems and 5 credits overlap with FYS9410 - Computational physics II (discontinued).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.
Additional literature will be required. This will consist of at least two selected scientific articles to be agreed upon.
Access to teaching
A student who has completed compulsory instruction and coursework and has had these approved, is not entitled to repeat that instruction and coursework. A student who has been admitted to a course, but who has not completed compulsory instruction and coursework or had these approved, is entitled to repeat that instruction and coursework, depending on available capacity.
Examination
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 and the additional scientific articles.
Examination support material
No examination support material is allowed.
Language of examination
Id does not exist in shared textGrading scale
Grades are awarded on a pass/fail scale. Read more about the grading system.
Explanations and appeals
You may request an explanation of your grades, and you may also appeal against your grades or make a complaint about formal examination errors. Read more about explanations and appeals.
Resit an examination
You can usually resit an exam, but the conditions depend on whether you had a valid reason for absence from the regular exam. Read more about resitting an exam.
Withdrawal from an examination
Id does not exist in shared textSpecial examination arrangements
If you have a disability or a health problem that entails significant inconvenience in an examination situation, you may be considered for special examination arrangements. Mothers who are breastfeeding may apply for extra time to complete the exam.