Prohlížení Acta Polytechnica. 2014, vol. 54, no. 2 dle názvu

Zobrazují se záznamy 9-16 z 16

    • LAPLACE-RUNGE-LENZ 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 PT-SYMMETRIC 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 NON-SELFADJOINT 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 ...

    • STABILITY OF BOSE-EINSTEIN CONDENSATES IN A PT-SYMMETRIC DOUBLE-δ POTENTIAL CLOSE TO BRANCH POINTS 

      Autor: Löhle, Andreas; Cartarius, Holger; Haag, Daniel; Dast, Dennis; Main, Jörg; Wunner, Günter Wunner
      (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) ...

    • THE COUPLED-CLUSTER APPROACH TO QUANTUM MANY-BODY PROBLEM IN A THREE-HILBERT-SPACE 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 PT-SYMMETRIC 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 PT-SYMMETRIC 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, ...