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The statistics of random band-matrices with the width and strength of the band slowly varying along the diagonal is considered. The Dyson equation for the averaged Green function close to the edge of spectrum is reduced to the Painlevé I equation. The analytical properties of the Green function...
A theoretical investigation of the local-field eigenmodes associated with intrasubband transitions in a semiconductor quantum well deposited on a dielectric substrate is carried out. Using the so-called slave approximation, the eigenmodes for the local-field components along and perpendicular to...
The expansion and nonlinear relaxation of a strongly-magnetized nonneutral electron plasma due to elastic collisions with constant collision frequency ν en between the plasma electrons and a low-density background neutral gas are investigated theoretically. An important consequence of the...
Discrete soliton equations are proposed. Features of the equations are: (1) Their variables including a dependent variable are all discrete. (2) They can be transformed into cellular automata with two-valued site values. (3) They have multi-soliton solutions.
We study the integrability of Einstein's equations modified by the introduction of N extra spatial dimensions, using the Painlevé property of differential equations. Following the ARS algorithm we find irrational and complex values for the resonances, for the different equations of state...
Bose statistics imply a substantial enhancement at small angles for light scattering off a cold, Bose gas. The enhancement increases dramatically at the Bose-Einstein temperature. This phenomenon could be utilized to eliminate almost entirely the heating of the gas by a weak probe light beam.
We investigate the SDW type antiferromagnetism in the framework of the t - J model in the weak-coupling limit ( J ⪡ t (1 − n ), n being the number of electrons per unit cell). The limits of applicability of our results are discussed.
We show that the modified version of quantum mechanics proposed by Ghirardi et al. (Phys. Rev. A 40 (1990) 78) is virtually equivalent to ordinary quantum mechanics, if a statistical perspective is adopted. However, this does not conflict with the possibility of an experimental assessment via...
We have studied electron transport in inversion layers of high-mobility Si(100) samples. At high electron concentrations and temperatures below 4.2 K, two series of Shubnikov-de Haas (SdH) oscillations have been observed. The temperature damping of the second series oscillations indicates that...
It has been proved recently that a fermion system with off-diagonal long-range order (ODLRO) cannot support a uniform magnetic field, i.e., ODLRO implies the Meissner effect, furthermore, the magnetic flux trapped in the system is quantized. This work extends these results. We show that the...
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