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20032009
most citedLorentz shear modulus of a two-dimensional electron gas at high magnetic field

74 citations

10 papers

math.SG20093 cited

Quantum Geometry and Quantum Mechanics of Integrable Systems

M. V. Karasev

Quantum integrable systems and their classical counterparts are considered. We show that the symplectic structure and invariant tori of the classical system can be deformed by a qu…

nlin.PS200845 cited

Stability of excited states of a Bose-Einstein condensate in an anharmonic trap

Dmitry A. Zezyulin, Georgy L. Alfimov, Vladimir V. Konotop +1

We analyze the stability of non-ground nonlinear states of a Bose-Einstein condensate in the mean field limit in effectively 1D (``cigar-shape'') traps for various types of confini…

cond-mat.mtrl-sci200850 cited

Quantum Stress Focusing in Descriptive Chemistry

Jianmin Tao, Giovanni Vignale, I. V. Tokatly

We show that several important concepts of descriptive chemistry, such as atomic shells, bonding electron pairs and lone electron pairs, may be described in terms of {\it quantum s…

cond-mat.mes-hall200774 cited

Lorentz shear modulus of a two-dimensional electron gas at high magnetic field

I. V. Tokatly, G. Vignale

We show that the Lorentz shear modulus -- one of the three elastic moduli of a homogeneous electron gas in a magnetic field -- can be calculated exactly in the limit of high magnet…

nlin.PS200765 cited

Nonlinear modes for the Gross-Pitaevskii equation -- demonstrative computation approach

G. L. Alfimov, D. A. Zezyulin

A method for the study of steady-state nonlinear modes for Gross-Pitaevskii equation (GPE) is described. It is based on exact statement about coding of the steady-state solutions o…

cond-mat.other200726 cited

Mixed symmetry localized modes and breathers in binary mixtures of Bose-Einstein condensates in optical lattices

H. A. Cruz, V. A. Brazhnyi, V. V. Konotop +2

We study localized modes in binary mixtures of Bose-Einstein condensates embedded in one-dimensional optical lattices. We report a diversity of asymmetric modes and investigate the…