
 The student knows the special aspects of quantum systems comprising of identical particles
 The student is able to perform calculations in the Fockspace of particles or quasiparticles
 The student can deal with quantum mechanical ensembles
 The student has the ability to perform teamwork and explain an advanced topic to fellow students
 The student understands the quantization aspects of electromagnetic fields (module 1)
 The student knows the fundamental aspects of relativistic quantum mechanics (module 1)
 The student understands the basic concepts and methods of condensed matter theory (module 2)
 The student understands such phenomena as Josephson effect, Andreev reflection, AharonovBohm effect, conductance quantization, magnetoresistance and Hall effect and can apply theory methods to describe them (module 2)


This course is part of a chain of quantum mechanics courses, consisting of Introduction to Quantum Mechanics and Quantum Mechanics 1a+b, 2 and 3.
During the 3rd quarter the emphasis in Quantum Mechanics 3 is on the properties of identicalparticle systems. By adopting the occupation number representation, the quantum space of identicalparticle systems (Fockspace) is constructed in terms of creation and annihilation operators. In this context the student will encounter new concepts such as quasiparticles and second quantization. Next the quantummechanical concept of mixed ensembles is introduced, which is subsequently used to derive the quantum statistics of noninteracting manyparticle systems that are in thermodynamic equilibrium with a macroscopic environment. In the 4th quarter the course splits into two modules. The students are free to choose either of these modules.
Module 1 (W.J.P. Beenakker) is meant for students who are interested in the master's specialisation "Particle and Astrophysics". In this module it will be shown how the problems with the construction of a 1particle version of relativistic quantum mechanics can be circumvented by assigning a manyparticle interpretation to the relativistic wave equations. The latter is illustrated and motivated by the quantization of the electromagnetic field.
Module 2 (M. Titov) is meant for students who are interested in the master's specialisation "Physics of Molecules and Materials". This module covers the basic concepts of condensed matter theory: Bloch theorem, tightbinding models, kdotp Hamiltonians, spinorbit interaction, dispersion relations, density of states, current operator, and scattering states. The following topics will be treated: the LandauerBüttiker theory of quantum transport, the Boltzmann kinetic equation, the meanfield method and the GinzburgLandau theory of superconductivity.
The students are expected to participate in one team assignment. As part of a team of 34 students they should prepare and present a minilecture on a modern/advanced quantum mechanical topic. These presentation assignments are integrated in the exerciseclasses and are meant to provide added depth to a particular discussion or to introduce the students to a groundbreaking experiment that is described in Nature or Physical Review Letters.





• Written Exam • A Bonus may be obtained by handing in exercise class assignments. 
  Required materialsReaderLecture notes: will be updated on a weekly basis and can be downloaded before each lecture 

 Recommended materialsBookDavid J. Griffiths, Introduction to Quantum Mechanics, 2nd edition, Prentice Hall, Pearson Education Ltd, 2005 
 BookEugene Merzbacher, Quantum Mechanics, 3rd edition, John Wiley & Sons, 2003 
 BookB.H. Bransden and C.J. Joachain, Quantum Mechanics, 2nd edition, Prentice Hall, Pearson Education Ltd, 2000 
 BookF. Schwabl, Advanced Quantum Mechanics, 3rd edition, Springer 2005 
 BookD. Feng and G. Jin, Introduction to condensed matter physics, World Scientific, Singapore 2005 

 Instructional modesLecture
 Tutorial
 Zelfstudie

 TestsExamTest weight   1 
Test type   Written exam 
Opportunities   Block KW4, Block KW4 
RemarkThere will be a single exam that covers both modules


 