Nonlinear wave interactions in quantum magnetoplasmas

Nonlinear interactions involving electrostatic upper-hybrid (UH), ion-cyclotron (IC), lower-hybrid (LH), and Alfven waves in quantum magnetoplasmas are considered. For this purpose, the quantum hydrodynamical equations are used to derive the governing equations for nonlinearly coupled UH, IC, LH, and Alfven waves. The equations are then Fourier analyzed to obtain nonlinear dispersion relations, which admit both decay and modulational instabilities of the UH waves at quantum scales. The growth rates of the instabilities are presented. They can be useful in applications of our work to diagnostics in laboratory and astrophysical settings.Comment: 15 pages, to appear in Physics of Plasma

Nonlinear interaction of light with Bose-Einstein condensate: new methods to generate subpoissonian light

We consider $\Lambda$-type model of the Bose-Einstein condensate of sodium atoms interacting with the light. Coefficients of the Kerr-nonlinearity in the condensate can achieve large and negative values providing the possibility for effective control of group velocity and dispersion of the probe pulse. We find a regime when the observation of the "slow" and "fast" light propagating without absorption becomes achievable due to strong nonlinearity. An effective two-level quantum model of the system is derived and studied based on the su(2) polynomial deformation approach. We propose an efficient way for generation of subpoissonian fields in the Bose-Einstein condensate at time-scales much shorter than the characteristic decay time in the system. We show that the quantum properties of the probe pulse can be controlled in BEC by the classical coupling field.Comment: 13 pages, 6 figures, 1 tabl

Modelling Quantum Mechanics by the Quantumlike Description of the Electric Signal Propagation in Transmission Lines

It is shown that the transmission line technology can be suitably used for simulating quantum mechanics. Using manageable and at the same time non-expensive technology, several quantum mechanical problems can be simulated for significant tutorial purposes. The electric signal envelope propagation through the line is governed by a Schrodinger-like equation for a complex function, representing the low-frequency component of the signal, In this preliminary analysis, we consider two classical examples, i.e. the Frank-Condon principle and the Ramsauer effect

Metaphor power and language typology: Analysis of correlation on the material of the United Nations Declarations

The established approaches to language typology share the notion that the features used as a starting point for any classification are linguistic rather than discursive. This study aims to reveal the connection between typological characteristics of languages and linguacultural patterns of expressing metaphoric meaning in discourse. We seek to answer the question: is there a correlation between the way the human mind processes metaphors, and typological characteristics of languages in which those metaphors are verbalised? The research material includes the texts of the United Nations Millennium Declaration and A Universal Declaration on a Nuclear-Weapon-Free World in three languages – Russian, English and Chinese. The methodological framework is based on the quantitative analysis of indicators connected with language typology (synthesis, agglutination and isolation) and metaphor power in discourse. To determine the degree of text metaphorisation, we employed the Metaphor-driven discourse analysis (MDDA) based on the calculation of metaphor indices: Metaphor Density Index (MDI), Metaphor Intensity Index (MII), and Metaphor Functional Typology Index (MfTI). The study further juxtaposed the typology indices and metaphorisation indices to identify the correlation between the typology index values and metaphor power on the example of the UN Declarations in three languages. Research results indicate that isolating analytical languages tend to be more figurative than synthetic ones, which is reflected in higher metaphoric density, intensity of metaphor use and frequent employment of structural metaphors. The example of the Chinese language has demonstrated that its typological characteristics on the levels of graphics, word formation and syntactic structures act as prerequisites for metaphor use. The findings contribute to the understanding of the connection between fundamental frameworks of thinking, typological characteristics of languages and linguacultural patterns of expressing identical or similar meanings in discourse

Magnetic Force Exerted by the Aharonov-Bohm Line

The problem of the scattering of a charge by the Aharonov-Bohm (AB) flux line is reconsidered in terms of finite width beams. It is shown that despite the left-right symmetry in the AB scattering cross-section, the charge is scattered asymmetrically. The asymmetry (i.e. magnetic force) originates from almost forward scattering within the angular size of the incident wave. In the paraxial approximation, the real space solution to the scattering problem of a beam is found as well as the scattering S-matrix. The Boltzmann kinetics and the Landau quantization in a random AB array are considered.Comment: 5 pages, RevTeX. Discussions of paraxial approximation to the Aharonov-Bohm solution (Cornu spiral) and S-matrix, are extended. References are adde

Gravitational Waveguides in Cosmology

We discuss the possibility that, besides the usual gravitational lensing, there may exist a sort of gravitational waveguiding in cosmology which could explain some anomalous phenomena which cannot be understood by the current gravitational lensing models as the existence of "brothers" objects having different brilliancy but similar spectra and redshifts posed on the sky with large angular distance. Furthermore, such a phenomena could explain the huge luminosities coming from quasars using the cosmological structures as selfoc-type or planar waveguide. We describe the gravitational waveguide theory and then we discuss possible realizations in cosmology.Comment: 14 pages, latex, submitted to Int. Jou. Mod. Phys.