• A BOSEEINSTEIN CONDENSATE WITH PTSYMMETRIC DOUBLEDELTA FUNCTION LOSS AND GAIN IN A HARMONIC TRAP: A TEST OF RIGOROUS ESTIMATES 

      Autor: Haag , Daniel; Cartarius , Holger; Wunner , Günter
      (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 ...
    • A DIFFERENTIAL INTEGRABILITY CONDITION FOR TWODIMENSIONAL HAMILTONIAN SYSTEMS 

      Autor: Mostafazadeh , Ali
      (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 ...
    • A SIMPLE DERIVATION OF FINITETEMPERATURE CFT CORRELATORS FROM THE BTZ BLACK HOLE 

      Autor: Ohya , Satoshi
      (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 ...
    • CAN ONE REALLY STUDY CHAOS ANALYTICALLY 

      Autor: Lee Howard, M.
      (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 ...
    • DIRAC AND HAMILTON 

      Autor: Leach G. L., P.
      (České vysoké učení technické v PrazeCzech Technical University in Prague, 2014)
      Dirac devised his theory of Quantum Mechanics and recognised that his operators resembled the canonical coordinates of Hamiltonian Mechanics. This gave the latter a new lease of life. We look at what happens to Dirac’s ...
    • EIGENVALUE COLLISION FOR PTSYMMETRIC WAVEGUIDE 

      Autor: Borisov , Denis
      (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 ...
    • EXACT RENORMALIZATION GROUP FOR POINT INTERACTIONS 

      Autor: Turgut Teoman, Osman Teoman Turgut; Eröncel , Cem
      (České vysoké učení technické v PrazeCzech Technical University in Prague, 2014)
      Renormalization is one of the deepest ideas in physics, yet its exact implementation in any interesting problem is usually very hard. In the present work, following the approach by Glazek and Maslowski in the flat space, ...
    • EXCEPTIONAL POINTS IN OPEN AND PTSYMMETRIC SYSTEMS 

      Autor: Eleuch , Hichem; Rotter , Ingrid
      (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 ...
    • LAPLACERUNGELENZ VECTOR IN QUANTUM MECHANICS IN NONCOMMUTATIVE SPACE 

      Autor: Prešnajder , Peter; Gáliková , Veronika; Kováčik , Samuel
      (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 ...
    • ON THE REAL MATRIX REPRESENTATION OF PTSYMMETRIC OPERATORS 

      Autor: Fernández M., Francisco
      (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 ...
    • ON TWO WAYS TO LOOK FOR MUTUALLY UNBIASED BASES 

      Autor: Kibler R., Maurice
      (České vysoké učení technické v PrazeCzech Technical University in Prague, 2014)
      Two equivalent ways of looking for mutually unbiased bases are discussed in this note. The passage from the search for d+1 mutually unbiased bases in Cd to the search for d(d+1) vectors in Cd2 satisfying constraint relations ...
    • SEMICLASSICAL ASYMPTOTICS OF EIGENVALUES FOR NONSELFADJOINT OPERATORS AND QUANTIZATION CONDITIONS ON RIEMANN SURFACES 

      Autor: Esina I., Anna; Shafarevich I., Andrei
      (České vysoké učení technické v PrazeCzech Technical University in Prague, 2014)
      This paper reports a study of the semiclassical asymptotic behavior of the eigenvalues of some nonself-adjoint operators that are important for applications. These operators are the Schrödinger operator with complex periodic ...
    • THE COUPLEDCLUSTER APPROACH TO QUANTUM MANYBODY PROBLEM IN A THREEHILBERTSPACE REINTERPRETATION 

      Autor: Bishop F., Raymond; Znojil , Miloslav
      (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) ...
    • THE FLOQUET METHOD FOR PTSYMMETRIC PERIODIC POTENTIALS 

      Autor: Jones F., H.
      (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 ...
    • TRACKING DOWN LOCALIZED MODES IN PTSYMMETRIC HAMILTONIANS UNDER THE INFLUENCE OF A COMPETING NONLINEARITY 

      Autor: Bagchi , Bijan; Modak , Subhrajit; Panigrahi K., Prasanta
      (České vysoké učení technické v PrazeCzech Technical University in Prague, 2014)
      The relevance of parity and time reversal (PT)-symmetric structures in optical systems has been known for some time with the correspondence existing between the Schrödinger equation and the paraxial equation of diffraction, ...