Mathematical structures in theoretical physics
 Project Identification
 GD202/08/H072
 Project Period
 1/2008  12/2011
 Investor / Pogramme / Project type

Czech Science Foundation
 Doctor grants
 MU Faculty or unit
 Faculty of Science
 Keywords
 geometry, mathematical physics, quantum gravity
 Cooperating Organization

Czech Technical University Prague
Faculty of Nuclear Physics and Engineering CTU
Responsible person Prof. Ing. Igor Jex DrSc.
The goal of this project is to support doctoral students in mathematical and theoretical physics. The main focus of the research is on the still not understood connection between quantum physics and the General Theory of Relativity, that is on modern theories of quantum gravity such as Superstring theory and Loop Quantum Gravity and related physical areas of applied differential geometry. The second main topic of research which is fundamentally related to the foundations of quantum theory is the theory of quantum information.
The team consists of 12 doctoral students of two cooperating universities. The leaders of the team are 6 scientific workers ranging from senior researchers with plenty of experience in supervising students as well as junior scientists who only recently graduated themselves. The support of the cooperation between these institutes in the form of joint seminars and students from one of the universities taking part in the activities organized by the other institute forms an integral part of the project.
Publications
2015

Energy spectrum of the hydrogen atom in a space with one compactified extra dimension, R3 x S1
Annals of Physics, year: 2015, volume: 363, edition: December, DOI

Hydrogen atom in space with a compactified extra dimension and potential defined by Gauss’ law
Annals of Physics, year: 2015, volume: 354, edition: March, DOI
2012

Effective relational dynamics of a nonintegrable cosmological model
Physical Review D, year: 2012, volume: 86, edition: 6, DOI

Gauge theory and SIM(2) superspace
Physical review D, year: 2012, volume: 85, edition: 10, DOI
2011

SIM(2) and supergraphs
JOURNAL OF HIGH ENERGY PHYSICS, year: 2011, volume: 2011, edition: 7, DOI