Quantum Theory a + b
Year:  20152016 

Catalog number:  4403QT9AB 
Teacher(s): 

Language:  English 
Blackboard:  Yes 
EC:  9 
Level:  400 
Period:  Semester 1 
 Yes Elective choice
 Yes Contractonderwijs
 Yes Exchange
 Yes Study Abroad
 No Evening course
 Yes A la Carte
 No Honours Class
Admission Requirements
Quantum Mechanics, Bachelor of Physics (Quantummechanica 1 and Quantummechanica 2).
Description
Advanced treatment of quantum theory, with an emphasis on the description and understanding of counterintuitive phenomena in quantum physics.
Basics: position and momentum representation, states and operators (braket notation), unitary transformations, Heisenberg equations of motion, uncertainty relation, pure states and mixtures, density matrix
Symmetry: conservation laws, unitary and antiunitary symmetries, parity, timereversal, Kramers degeneracy, Galilean invariance
Fermions and bosons: creation/annihilation operators, fermionic/bosonic Fock space, field operators, coherent states, Bogoliubov and Majorana quasiparticles in a superconductor
Timeindependent quantum systems: theorems (virial, oscillation, variational, Ehrenfest, HellmannFeynman, ByersYang), AharonovBohm effect, persistent current
Semiclassics: BohrSommerfeld quantization, WKB approximation, resonant tunneling, Landau levels
Timedependent quantum systems: adiabatic theorem, LandauZener transitions, Berry phase, applications to Dirac fermions in graphene
Path integrals: Lagrangian, principle of least action, quantum propagator, Feynman path integral, stationary phase approximation
Entanglement: EPR paradox, entanglement measures, Bell inequality, teleportation
Topology in condensed matter: Topological invariants, bulkedge correspondence, Majorana modes, quantum Hall effect, quantum spinHall effect
Course objectives
After the course the student should be able to apply the basic concepts of quantum theory to macroscopic quantum phenomena, in particular in the context of quantum information processing and condensed matter physics. The emphasis is on a qualitative understanding of the general principles, rather than on specific computational techniques.
Timetable
Mode of instruction
Lectures + tutorials (exercise classes)
Computer assisted assignments ((week 15 of the online course at topocondmat.org )
Assessment method
Part a: Written examination, with questions modeled after the exercises from the tutorials. There is a possibility to retake the exam. (A date for the retake will be decided in consultation.)
Part b: oral presentation and computer assignments.
To pass for part b, a sufficient grade for part a is required.
Blackboard
Course material is on Blackboard.
To have access to Blackboard you need a ULCNaccount.Blackboard UL
Reading list
primary text book: L.E. Ballantine, Quantum Mechanics: A Modern Development
secondary text book: K. Konishi and G. Paffuti, Quantum Mechanics: A New Introduction
The second book is less detailed and systematic for the basics, but contains more applications. These books provide background and context to the material covered in the lectures and tutorials. In some cases, you will also find there alternative or more detailed derivations. While consulting these books is recommended, and is likely to help you understand and apply the material offered in the course, they also contain much additional material that goes beyond the course and will not be examinated.
Contact
Lecturer: Prof.dr.C.Beenakker(Carlo)
Is part of  Programme type  Semester  Block 

Physics  Master  1 