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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 ...
THE COUPLED-CLUSTER APPROACH TO QUANTUM MANY-BODY PROBLEM IN A THREE-HILBERT-SPACE REINTERPRETATION
(České vysoké učení technické v PrazeCzech Technical University in Prague, 2014)
The quantum many-body bound-state problem in its computationally successful coupled cluster method (CCM) representation is reconsidered. In conventional practice one factorizes the groundstate wave functions |Ψ) = eS |Φ) ...
STABILITY OF BOSE-EINSTEIN CONDENSATES IN A PT-SYMMETRIC DOUBLE-δ POTENTIAL CLOSE TO BRANCH POINTS
(České vysoké učení technické v PrazeCzech Technical University in Prague, 2014)
A Bose-Einstein condensate trapped in a double-well potential, where atoms are incoupled to one side and extracted from the other, can in the mean-field limit be described by the nonlinear Gross-Pitaevskii equation (GPE) ...
A BOSE-EINSTEIN CONDENSATE WITH PT-SYMMETRIC DOUBLE-DELTA FUNCTION LOSS AND GAIN IN A HARMONIC TRAP: A TEST OF RIGOROUS ESTIMATES
(České vysoké učení technické v PrazeCzech Technical University in Prague, 2014)
We consider the linear and nonlinear Schrödinger equation for a Bose-Einstein condensate in a harmonic trap with PT-symmetric double-delta function loss and gain terms. We verify that the conditions for the applicability ...