
 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 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 1, 2 and 3.
This part of the chain is divided into 3 modules. The common module (teacher J.H. Mentink), Module 1 (teacher T. Budd) and Module 2 (teacher M. Titov).
In the 2nd 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 3rd quarter the course splits into two modules. The students are free to choose either of these modules.
Module 1 "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 "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.


   Written Exam
A Bonus may be obtained by handing in exercise class assignments. 

This course fits in the research theme High Energy Physics




  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 modesCourseAttendance Mandatory   Yes 

 TestsExam Module PAPTest weight   1 
Test type   Exam 
Opportunities   Block KW3, Block KW4 
RemarkExam related to general part and Module 1: Particle and Astrophysics
 Exam Module PMMTest weight   1 
Test type   Exam 
Opportunities   Block KW3, Block KW4 
RemarkExam related to general part and Module 2: Physics of Molecules and Materials
 Exam Modules PAP+PMMTest weight   1 
Test type   Exam 
Opportunities   Block KW3, Block KW4 
RemarkExam related to general part, Module 1 and 2: Particle and Astrophysics, and Physics of Molecules and Materials


 