FYS9110 – Advanced Quantum Mechanics
Course description
Schedule, syllabus and examination date
Course content
The course delves into further expositions of the features of quantum mechanics encountered in the previous introductory course, FYS3110 – Quantum Mechanics, such as non-commutativity and quantization, measurement and quantum jumps, identical particles, and phase factor. In addition, we introduce important fundamental concepts such as density matrices, entanglement entropy and open quantum systems. The focus will be on a more mathematical understanding of quantum foundations, and the rich phenomena in various arenas of quantum mechanics.
Learning outcome
After finishing the course you will:?
- get an understanding of the foundations of quantum mechanics such as decoherence, the EPR paradox and Bell’s inequality, and become familiar with different concepts in quantum information.
- be able to use the density matrix formalism and the Lindblad equation to describe mixed states and open quantum systems.
- charactrize bipartite entanglement between two subsystems of a system in a pure state using the Schmidt decomposition.?
- be able to apply the knowledge of coherent states, selection rules and Fermi’s golden rule to study the interplay between atoms and photons, including spontaneous and stimulated emission processes.
- understand the role of the geometric phase in adiabatic evolution and its consequences in topological phenomena like the quantum Hall effect.
- get familiar with rudiments of selected advanced topics, such as quantum integrability, supersymmetric quantum mechanics, and anyonics, chosen according to students' interests of the year.
Admission to the course
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.
Recommended previous knowledge
Overlapping courses
- 10 credits overlap with FYS4110 – Modern Quantum Mechanics.
Teaching
The course is given for a full semester with 6 hours of teaching every week (lectures and problem solving).
One mandatory exercise must be approved before you can sit the final exam.
Examination
- Final written?exam (4 hours) which counts 100 % towards the final grade.
This course has mandatory exercises that must be approved before you can sit the final?exam.
When writing your exercises?make sure to familiarize yourself with the?rules for use of sources and citations.?Breach of these rules may lead to suspicion of?attempted cheating.
It will also be counted as one of the three attempts to sit the exam for this course, if you sit the exam for one of the following courses: FYS4110 – Modern Quantum Mechanics
Examination support material
- Approved calculator
- Rottman: "Matematisk formelsamling"
- ?grim and Lian or Angell and Lian: "Fysiske st?rrelser og enheter"
- One A4-sheet (2 pages) of personal notes
Language of examination
Subjects taught in English will only offer the exam paper in English.
You may write your examination paper in Norwegian, Swedish, Danish or English.
Grading scale
Grades are awarded on a pass/fail scale. Read more about?the grading system.
Resit an examination
Students who can document a valid reason for absence from the regular examination are offered a?postponed exam?at the beginning of the next semester.
New examinations?are offered at the beginning of the next semester for students who do not successfully complete the exam during the previous semester.
We do not offer a re-scheduled exam for students who withdraw during the exam.
More about examinations at UiO
- Use of sources and citations
- How to use AI as a student
- Special exam arrangements due to individual needs
- Withdrawal from an exam
- Illness at exams / postponed exams
- Explanation of grades and appeals
- Resitting an exam
- Cheating/attempted cheating
You will find further guides and resources at the web page on examinations at UiO.