Prohlížení Acta Polytechnica. 2014, vol. 54, no. 2 dle názvu
Zobrazují se záznamy 9-16 z 16
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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 ... -
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 ... -
ON TWO WAYS TO LOOK FOR MUTUALLY UNBIASED BASES
(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
(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
(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
(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
(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
(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, ...