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EXCEPTIONAL POINTS IN OPEN AND PT-SYMMETRIC SYSTEMS
(České vysoké učení technické v PrazeCzech Technical University in Prague, 2014)
Exceptional points (EPs) determine the dynamics of open quantum systems and cause also PT symmetry breaking in PT symmetric systems. From a mathematical point of view, this is caused by the fact that the phases of the ...
A SIMPLE DERIVATION OF FINITE-TEMPERATURE CFT CORRELATORS FROM THE BTZ BLACK HOLE
(České vysoké učení technické v PrazeCzech Technical University in Prague, 2014)
We present a simple Lie-algebraic approach to momentum-space two-point functions of two-dimensional conformal field theory at finite temperature dual to the BTZ black hole. Making use of the real-time prescription of AdS/CFT ...
LAPLACE-RUNGE-LENZ VECTOR IN QUANTUM MECHANICS IN NONCOMMUTATIVE SPACE
(České vysoké učení technické v PrazeCzech Technical University in Prague, 2014)
The object under scrutiny is the dynamical symmetry connected with conservation of the Laplace-Runge-Lenz vector (LRL) in the hydrogen atom problem solved by means of noncommutative quantum mechanics (NCQM). The considered ...
A DIFFERENTIAL INTEGRABILITY CONDITION FOR TWO-DIMENSIONAL HAMILTONIAN SYSTEMS
(České vysoké učení technické v PrazeCzech Technical University in Prague, 2014)
We review, restate, and prove a result due to Kaushal and Korsch [Phys. Lett. A 276, 47 (2000)] on the complete integrability of two-dimensional Hamiltonian systems whose Hamiltonian satisfies a set of four linear second ...
THE FLOQUET METHOD FOR PT-SYMMETRIC PERIODIC POTENTIALS
(České vysoké učení technické v PrazeCzech Technical University in Prague, 2014)
By the general theory of PT-symmetric quantum systems, their energy levels are either real or occur in complex-conjugate pairs, which implies that the secular equation must be real. However, for periodic potentials it is ...
ON THE REAL MATRIX REPRESENTATION OF PT-SYMMETRIC OPERATORS
(České vysoké učení technické v PrazeCzech Technical University in Prague, 2014)
We discuss the construction of real matrix representations of PT-symmetric operators. We show the limitation of a general recipe presented some time ago for non-Hermitian Hamiltonians with antiunitary symmetry and propose ...
EIGENVALUE COLLISION FOR PT-SYMMETRIC WAVEGUIDE
(České vysoké učení technické v PrazeCzech Technical University in Prague, 2014)
We consider a model of a planar PT-symmetric waveguide and study the phenomenon of the eigenvalue collision under perturbation of the boundary conditions. This phenomenon was discovered numerically in previous works. The ...
CAN ONE REALLY STUDY CHAOS ANALYTICALLY?
(České vysoké učení technické v PrazeCzech Technical University in Prague, 2014)
One generally thinks that chaos can be studied only numerically by aid of the computer. It is however suggested by the theorem of Sharkovskii and Li and Yorke that in Id continuous maps analytical studies are possible. How ...
ELIMED: MEDICAL APPLICATION AT ELI-BEAMLINES. STATUS OF THE COLLABORATION AND FIRST RESULTS
(České vysoké učení technické v PrazeCzech Technical University in Prague, 2014)
ELI-Beamlines is one of the four pillars of the ELI (Extreme Light Infrastructure) pan-European project. It will be an ultrahigh-intensity, high repetition-rate, femtosecond laser facility whose main goal is to generate ...
DISTINGUISHING BETWEEN SPOT AND TORUS MODELS OF HIGH-FREQUENCY QUASIPERIODIC OSCILLATIONS
(České vysoké učení technické v PrazeCzech Technical University in Prague, 2014)
In the context of high-frequency quasi-periodic oscillation (HF QPOs) we further explore the appearance of an observable signal generated by hot spots moving along quasi-elliptic trajectories close to the innermost stable ...