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Course module: NWI-NB016
NWI-NB016
Quantum Mechanics 3
Course infoSchedule
Course moduleNWI-NB016
Credits (ECTS)6 - 9
Category-
Language of instructionEnglish
Offered byRadboud University; Faculty of Science; Wiskunde, Natuur- en Sterrenkunde;
Lecturer(s)
PreviousNext 1
Lecturer
dr. T.G. Budd
Other course modules lecturer
Examiner
dr. J.H. Mentink
Other course modules lecturer
Lecturer
dr. J.H. Mentink
Other course modules lecturer
Coordinator
dr. J.H. Mentink
Other course modules lecturer
Contactperson for the course
dr. J.H. Mentink
Other course modules lecturer
Academic year2022
Period
KW2-KW3  (07/11/2022 to 09/04/2023)
Starting block
KW2
Course mode
full-time
Remarks-
Registration using OSIRISYes
Course open to students from other facultiesYes
Pre-registrationNo
Waiting listNo
Placement procedure-
Aims
  • The student knows the special aspects of quantum systems comprising of identical particles
  • The student is able to perform calculations in the Fock-space of particles or quasi-particles
  • 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, Aharonov-Bohm effect, conductance quantization, magnetoresistance and Hall effect and can apply theory methods to describe them (module 2)
Content
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 identical-particle systems. By adopting the occupation number representation, the quantum space of identical-particle systems (Fock-space) is constructed in terms of creation and annihilation operators. In this context the student will encounter new concepts such as quasi-particles and second quantization. Next the quantum-mechanical concept of mixed ensembles is introduced, which is subsequently used to derive the quantum statistics of non-interacting many-particle 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 1-particle version of relativistic quantum mechanics can be circumvented by assigning a many-particle 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, tight-binding models, k-dot-p Hamiltonians, spin-orbit interaction, dispersion relations, density of states, current operator, and scattering states. The following topics will be treated: the Landauer-B├╝ttiker theory of quantum transport, the Boltzmann kinetic equation, the mean-field method and the Ginzburg-Landau theory of superconductivity.
Level

Presumed foreknowledge
Quantum Mechanics 2
Test information
  • Written Exam
  • A Bonus may be obtained by handing in exercise class assignments.
  • Specifics
    This course fits in the research theme High Energy Physics
    Required materials
    Reader
    Lecture notes: will be updated on a weekly basis and can be downloaded before each lecture
    Recommended materials
    Book
    David J. Griffiths, Introduction to Quantum Mechanics, 2nd edition, Prentice Hall, Pearson Education Ltd, 2005
    Book
    Eugene Merzbacher, Quantum Mechanics, 3rd edition, John Wiley & Sons, 2003
    Book
    B.H. Bransden and C.J. Joachain, Quantum Mechanics, 2nd edition, Prentice Hall, Pearson Education Ltd, 2000
    Book
    F. Schwabl, Advanced Quantum Mechanics, 3rd edition, Springer 2005
    Book
    D. Feng and G. Jin, Introduction to condensed matter physics, World Scientific, Singapore 2005
    Instructional modes
    Course
    Attendance MandatoryYes

    Tests
    Exam Module PAP
    Test weight1
    Test typeExam
    OpportunitiesBlock KW3, Block KW4

    Remark
    Exam related to general part and Module 1: Particle and Astrophysics

    Exam Module PMM
    Test weight1
    Test typeExam
    OpportunitiesBlock KW3, Block KW4

    Remark
    Exam related to general part and Module 2: Physics of Molecules and Materials

    Exam Modules PAP+PMM
    Test weight1
    Test typeExam
    OpportunitiesBlock KW3, Block KW4

    Remark
    Exam related to general part, Module 1 and 2: Particle and Astrophysics, and Physics of Molecules and Materials

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