Nuclear & particle physics

Seminar on the theory of particles and fields

Summer semester 2019

Seminar

Course number in the course overview: 116294

  • Organizers, organization & dates

    Organizers

    Dates & locations

    Seminar Wednesday, 10:00–12:00 KP/TP, seminar room 304
    Registration and preparatory meeting: Wednesday, 10.04.2019, 10:15

    Registration and guidance

    Prof. Dr. J. Heitger

    ITP, Wilhelm-Klemm-Straße 9, 48149 Münster, room 318
    Tel.: +49 251 83-34948, email: heitger(at)uni-muenster.de

    Certificate of performance

    Presentation and regular participation.

    Requirements

    Quantum Theory and Statistical Physics.

  • Contents & literature

    Path integrals in quantum mechanics and field theory

    Topic for summer semester 2019
    © TP

    More than 70 years ago Richard Feynman found a formulation of quantum theory in which probability amplitudes are not calculated by means of an operator formalism, but by integration over multitudes of classical paths. This formulation offers a very different approach and facilitates the understanding of some aspects of quantum theory. Path integrals have been applied with great success in the quantum theory of fields and in statistical mechanics.

    Topics are primarily given out to master’s students. A limited number of topics can possibly also be worked on by bachelor’s students.

    Literature

    • R.P. Feynman, A.R. Hibbs: Quantum Mechanics and Path Integrals, McGraw-Hill, 1965
    • L.S. Schulman: Techniques and Applications of Path Integration, Wiley, 1981
    • G. Münster: Quantentheorie, de Gruyter, 2006
    • A. Das: Field Theory, A Path Integral Approach, World Scientific, 1993
    • J. Zinn-Justin: Path Integrals in Quantum Mechanics, Oxford University Press, 2005
    • R. MacKenzie: Path Integral Methods and Applications, arXiv:quant-ph/0004090
    • J. Zinn-Justin: Quantum Field Theory and Critical Phenomena, Oxford University Press, 1993
    • L.H. Ryder: Quantum Field Theory, Cambridge University Press, 1985
    • T.-P. Cheng, L.-F. Li: Gauge Theory of Elementary Particle Physics, Clarendon Press, 1984
    • T. Kugo: Eichtheorie, Springer, 1997
    • D.J. Amit: Field Theory, the Renormalization Group, and Critical Phenomena, World Scientific, 1984

    The literature is made available to the speakers. Further advice concerning complementary literature is given as part of the talk guidance.

  • Topics & schedule

    Datum Thema Vortragende(r)
    10.04.2019 Vorbesprechung
    29.05.2019 Pfadintegral in der Quantenmechanik und harmonischer Oszillator in Pfadintegraldarstellung Mats Kampshoff
    Euklidisches Pfadintegral und erzeugende Funktionale
    05.06.2019 Instantonen Matthias Mensen
    19.06.2019 Das Polaron Sophia Vestrick
    26.06.2019 Aharonov-Bohm-Effekt Entfällt!
    Pfadintegraldarstellung des freien Skalarfelds
    Pfadintegraldarstellung des freien Dirac-Feldes
    Störungsrechnung im Funktionalintegralformalismus
    03.07.2019 Funktionalintegralquantisierung von Eichtheorien Mike Johannes
    Pfadintegraldarstellung der kanonischen Zustandssumme
    03.07.2019 Videositzung Alle