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Plasma–Surface Interactions Under High Heat and Particle Fluxes
(České vysoké učení technické v PrazeCzech Technical University in Prague, 2013)
The plasma-surface interactions expected in the divertor of a future fusion reactor are characterized by extreme heat and particle fluxes interacting with the plasma-facing surfaces. Powerful linear plasma generators are ...
Spectral Analysis of Schrödinger Operators with Unusual Semiclassical Behavior
(České vysoké učení technické v PrazeCzech Technical University in Prague, 2013)
In this paper we discuss several examples of Schrödinger operators describing a particle confined to a region with thin cusp-shaped ‘channels’, given either by a potential or by a Dirichlet boundary; we focus on cases when ...
Weakly Ordered A-Commutative Partial Groups of Linear Operators Densely Defined on Hilbert Space
(České vysoké učení technické v PrazeCzech Technical University in Prague, 2013)
The notion of a generalized effect algebra is presented as a generalization of effect algebra for an algebraic description of the structure of the set of all positive linear operators densely defined on a Hilbert space ...
The Two-dimensional Harmonic Oscillator on a Noncommutative Space with Minimal Uncertainties
(České vysoké učení technické v PrazeCzech Technical University in Prague, 2013)
The two dimensional set of canonical relations giving rise to minimal uncertainties previously constructed from a q-deformed oscillator algebra is further investigated. We provide a representation for this algebra in terms ...
Complex Covariance
(České vysoké učení technické v PrazeCzech Technical University in Prague, 2013)
According to some generalized correspondence principle the classical limit of a non-Hermitian quantum theory describing quantum degrees of freedom is expected to be the well known classical mechanics of classical degrees ...
Generalized Continuity Equation for Quasi-Hermitian Hamiltonians
(České vysoké učení technické v PrazeCzech Technical University in Prague, 2013)
The continuity relation is generalized to quasi-Hermitian one-dimensional Hamiltonians. As an application we show that the reflection and transmission coefficients computed with the generalized current obey the conventional ...
On the Solvability of Some Partial Differential Inequality
(České vysoké učení technické v PrazeCzech Technical University in Prague, 2013)
The Dulac criterion is a classical method for ruling out the existence of periodic solutions in planar differential equations. In this paper the applicability and therefore reversibility of this criterionis under consideration.
COULOMB SCATTERING IN NON-COMMUTATIVE QUANTUM MECHANICS
(České vysoké učení technické v PrazeCzech Technical University in Prague, 2013)
Recently we formulated the Coulomb problem in a rotationally invariant NC configuration space specified by NC coordinates xi, i = 1, 2, 3, satisfying commutation relations [xi, xj ] = 2iλεijkxk (λ being our NC parameter). ...
ON RENORMALIZATION OF POISSON–LIE T-PLURAL SIGMA MODELS
(České vysoké učení technické v PrazeCzech Technical University in Prague, 2013)
Covariance of the one-loop renormalization group equations with respect to Poisson–Lie T-plurality of sigma models is discussed. The role of ambiguities in renormalization group equations of Poisson–Lie sigma models with ...
PROPOSAL OF NEW OPTICAL ELEMENTS
(České vysoké učení technické v PrazeCzech Technical University in Prague, 2013)
A overview of our patented proposals of new optical elements is presented. The elements are suitable for laser pulse analysis, telescopy, X-ray microscopy and X-ray telescopy. They are based on the interference properties ...