The Landau problem is discussed in two similar but still different non-commutative frameworks. The “standard” one, where the coupling to the gauge field is achieved using Poisson brackets, yields all Landau levels. The “exotic” approach, where the coupling to the gauge field is achieved using the symplectic structure, only yields lowest-Landau level states as advocated by Peierls, and widely us...

Addition formulas for theta functions of arbitrary order are shown and applied to the theoretical understanding of the fractional quantum Hall effect in a multi-layer two-dimensional many-electron system under periodic conditions.

A two-dimensional harmonic oscillator, when rotated by the oscillator frequency, generates Landau-like levels. A further cranking results in condensates and gaps resembling the fractional quantum Hall effect. For a filling fraction ν = p/q, with q odd, the model predicts that the gap is proportional to √ ne/pq, where ne is the electron density of the sample. This agrees well with recent experim...

We study the linear response spin Hall conductivity of a two-dimensional electron gas (2DEG) in the presence of the Rashba spin-orbit interaction in the diffusive transport regime. When defect scattering is modeled by isotropic short-range potential scatterers the spin Hall conductivity vanishes due to the vertex correction. A nonvanishing spin Hall effect may be recovered for dominantly forwar...

The “Laughlin” picture of the Fractional Quantum Hall effect can be derived using the “exotic” model based on the two-fold centrally-extended planar Galilei group. When coupled to a planar magnetic field of critical strength determined by the extension parameters, the system becomes singular, and “Faddeev-Jackiw” reduction yields the “Chern-Simons” mechanics of Dunne, Jackiw, and Trugenberger. ...

Background and objectives: Calamus rotang is used in traditional medicine. Regarding the previous phytochemical screening of methanol extract of Calamus rotang L. fruits (MCR), this study was performed to find out the antidiarrheal and hypoglycemic effects of the experimented extract in rodents. Methods: Castor oil induced diarrheal test...

The structure and properties of niobapyrimidinium complex were examined by density functionaltheory method (mpw1pw91). The effect of solvent on the structural parameters, frontier orbitalenergies and hyperpolarizability (tot) of this molecule has been explored. The thermodynamicproperties of the title compound at different temperatures have been calculated. Also, the parasubstitutionseffect on ...

The present study aimed to satisfy a twofold purpose: On the one hand, it sought to verify the postulation that agent-based instruction could offer a compromise approach to teaching L2 idioms where form and meaning would be equally emphasized during instruction. Given that anthropomorphism has not been much under scrutiny, this research, on the other hand, sought to ascertain whether learning a...

In this research, the surface stress effect on the nonlocal vibration of piezoelectric square plate reinforced by single walled carbon nanotubes (SWCNTs) based on classical plate theory (CPT) and first order shear deformation theory (FSDT) is presented. The elastic properties of piezoelectric nanocomposite plate are estimated by Eshelby-Mori-Tanaka and the extended mixture rule approaches. The ...

The nonlocal and topological nature of the molecular AharonovBohm (MAB) effect is examined for real electronic Hamiltonians. A notion of preferred gauge for MAB is suggested. The MAB effect in the linear + quadratic E ⊗ ε Jahn-Teller system is shown to be essentially analogues to an anisotropic Aharonov-Casher effect for an electrically neutral spin− 2 particle encircling a certain configuratio...