Supervised students' research reports, theses
- Ondrej Vana: Spectral
analysis of a Floquet operator and the Krein formula
(in Czech, report, 4th year, 1998), source (tar.gz),
dvi
(gz)
- Ondrej Vana: Time dependent quantum systems
(diploma thesis, 1999), source
(tar.gz)
- Petr Vytras: Spectrum of some two-dimensional
Hamiltonians
(in Czech, report, 3rd year, 1999),
source
- Ondrej Lev: Spectral properties of the quasi-energy
operators
(in Czech, report, 3rd year, 2000),
source (gz)
- Jiri Sala: Construction of representations of the group
SLq(2,R) via the method of orbits
(in Czech, report, 4th year, 2000),
source (gz)
- Petr Vytras: Aharonov-Bohm effect, magnetic field and point
interactions
(in Czech, report, 4th year, 2000),
source
- Ondrej Lev: Egorov theorem for the time dependent case
(report, 4th year, 2001),
source (gz)
- Petr Vytras: Two-dimensional quantum models involving
a magnetic field and a point interaction
(in Czech, diploma thesis, 2002),
ps (gz)
- Ondrej Lev: Semiclassical analysis of time dependent quantum
systems
(diploma thesis, 2002),
source (gz),
dvi
(gz)
- Ivo Hradecky: Application of adiabatic methods
to two-dimensional models
(in Czech, report, 4th year, 2002),
source
- Maxim Vrana: Application of computer algebra systems
to quantum groups
(in Czech, report, 4th year, 2004),
(tar.gz)
- Marek Filan: A construction of representations of the group
SU(2) via the method of orbits
(in Czech, report, 3rd year, 2004),
source (gz)
- Ivo Hradecky: Adiabatic analysis of a quantum model with
time-dependent Aharonov-Bohm flux
(diploma thesis, 2004), source
- Maxim Vrana: Computer algebra systems and non-commutative
algebras
(in Czech, diploma thesis, 2005),
pdf,
Maple 8 programs (tar.gz)
- Matej Tusek: Point interaction in the two-dimensional case:
the spectral analysis and the scattering problem
(in Czech, report, 4th year, 2005),
ps (gz)
- Tomas Kalvoda: Geometric interpretation of bound states
and propagating states
(in Czech, report, 4th year, 2005),
ps (gz)
- Petra Kocabova: Quantum systems consisting of two and more
anyons
(in Czech, report, 3rd year, 2005),
pdf
- Matej Tusek: Analysis of two-dimensional quantum models
with singular potentials
(diploma thesis, 2006),
pdf
- Tomas Kalvoda: Stability of time-dependent quantum
systems
(diploma thesis, 2006),
pdf
- Petra Kocabova: Quantum mechanics on non-simply connected
manifolds
(report, 4th year, 2006),
pdf
- Ondrej Lev: Time-periodic quantum systems
(phd thesis, 2007),
pdf
- Petra Kocabova: Quantum mechanics on multiply connected
manifolds
(diploma thesis, 2007),
pdf
- Pavel Neskudla: Propagator of a time-dependent harmonic
oscillator
(in Czech, bachelor thesis, 2007),
pdf,
supplements (tar.gz)
- Pavel Neskudla: Applications of computer algebra
systems to quantum models with symmetries
(in Czech, report, 4th year, 2008),
pdf,
supplements (tar.gz)
- Frantisek Stampach: Spectral analysis of special type
of Jacobi's matrices
(bachelor thesis, 2008),
pdf
- Frantisek Stampach: Equations of eigenvalues for
a tridiagonal operator
(report, 4th year, 2009),
pdf
- Matej Tusek: Spectral analysis of two-dimensional
quantum models
(phd thesis, 2009),
pdf
- Petr Vytras: Quantum systems with magnetic field and point
interactions
(phd thesis, 2010),
pdf
- Frantisek Stampach: On the eigenvalue problem for
a particular class of Jacobi matrices
(students competition work, 2010),
pdf
- Frantisek Stampach: Spectral problem of Jacobi matrices
of a certain type
(diploma thesis, 2010),
pdf
- Filip Staffa: Quantum scattering for time-dependent
systems
(in Czech, bachelor thesis, 2010),
pdf
- Vaclav Kosar: Hamiltonians with constant spectral
intervals and time-dependent perturbation of a certain type
(diploma thesis, 2012),
pdf
- Juraj Pohanka: Periodic magnetic Hamiltonians on the
Lobachevsky plane
(bachelor thesis, 2013),
pdf
- Tomas Kalvoda: A resonant effect for a periodically
time-dependent singular flux tube and a homogeneous magnetic field
(phd thesis, 2013),
pdf
- Frantisek Stampach: Spectral analysis of Jacobi matrices
and related problems
(phd thesis, 2014),
pdf
- Matej Hazala: Scattering on a magnetic Aharonov-Bohm
flux in a plane
(bachelor thesis, 2015),
pdf
- Matej Hazala: Applications of the WKB method in scattering
theory for quantum 2D models
(student research project, 4th year, 2017),
pdf