Energy spectrum of strongly correlated particles in quantum dots

The ground state and the excitation spectrum of strongly correlated electrons in quantum dots are investigated. An analytical solution is constructed by exact diagonalization of the Hamiltonian in terms of the $N$-particle eigenmodes.Comment: 10 pages, 10 figures, to appear in Journal of Physics: Conf. Serie

Homogeneous heterotic supergravity solutions with linear dilaton

I construct solutions to the heterotic supergravity BPS-equations on products of Minkowski space with a non-symmetric coset. All of the bosonic fields are homogeneous and non-vanishing, the dilaton being a linear function on the non-compact part of spacetime.Comment: 36 pages; v2 conclusion updated and references adde

Instantons and Killing spinors

We investigate instantons on manifolds with Killing spinors and their cones. Examples of manifolds with Killing spinors include nearly Kaehler 6-manifolds, nearly parallel G_2-manifolds in dimension 7, Sasaki-Einstein manifolds, and 3-Sasakian manifolds. We construct a connection on the tangent bundle over these manifolds which solves the instanton equation, and also show that the instanton equation implies the Yang-Mills equation, despite the presence of torsion. We then construct instantons on the cones over these manifolds, and lift them to solutions of heterotic supergravity. Amongst our solutions are new instantons on even-dimensional Euclidean spaces, as well as the well-known BPST, quaternionic and octonionic instantons.Comment: 40 pages, 2 figures v2: author email addresses and affiliations adde

Analysis of the Fibroblast Growth Factor System Reveals Alterations in a Mouse Model of Spinal Muscular Atrophy

The monogenetic disease Spinal Muscular Atrophy (SMA) is characterized by a progressive loss of motoneurons leading to muscle weakness and atrophy due to severe reduction of the Survival of Motoneuron (SMN) protein. Several models of SMA show deficits in neurite outgrowth and maintenance of neuromuscular junction (NMJ) structure. Survival of motoneurons, axonal outgrowth and formation of NMJ is controlled by neurotrophic factors such as the Fibroblast Growth Factor (FGF) system. Besides their classical role as extracellular ligands, some FGFs exert also intracellular functions controlling neuronal differentiation. We have previously shown that intracellular FGF-2 binds to SMN and regulates the number of a subtype of nuclear bodies which are reduced in SMA patients. In the light of these findings, we systematically analyzed the FGF-system comprising five canonical receptors and 22 ligands in a severe mouse model of SMA. In this study, we demonstrate widespread alterations of the FGF-system in both muscle and spinal cord. Importantly, FGF-receptor 1 is upregulated in spinal cord at a pre-symptomatic stage as well as in a mouse motoneuron-like cell-line NSC34 based model of SMA. Consistent with that, phosphorylations of FGFR-downstream targets Akt and ERK are increased. Moreover, ERK hyper-phosphorylation is functionally linked to FGFR-1 as revealed by receptor inhibition experiments. Our study shows that the FGF system is dysregulated at an early stage in SMA and may contribute to the SMA pathogenesis

Parametric Oscillations of a Thermal Field During Explosive Crystallization of Amorphous Films

Изучены тепловые процессы, происходящие при взрывной кристаллизации аморфных пленок, напыленных на подложку. Представлены результаты численного моделирования параметрических колебаний теплового поля в системе «фазовая граница – подложка». Рассмотрены стационарный и волновой режимы возбуждения горячих центров кристаллизации в аморфной фазе. Расчеты выполнены для аморфной пленки германия. Установлены основные физические факторы, определяющие амплитудно-частотные свойства данного процесса: толщина пленки, температура подложки и скорость фазовой границы кристаллизации. Указаны примеры возникновения резонансных ситуаций. Рассмотрены колебания параметрической системы, которая испытывает внешнее воздействие в режиме биений. Для этой системы по-строен трехмерный фазовый портрет, демонстрирующий ее динамические свойства. При наличии спектра частот структура фазовых траекторий в основном аналогична варианту колебаний на одной частоте.The thermal processes occurring during explosive crystallization of amorphous films deposited on a substrate are studied. The results of numerical modeling of parametric oscillations of a thermal field in the “phase boundary – substrate” system are presented. The stationary and wave modes of hot crystallization centers in the amorphous phase are considered. The calculations are performed for an amorphous germanium film. The main physical factors determining the amplitude and frequency properties of this process are established: film thickness, substrate temperature, and crystallization phase boundary rate. Examples of the resonant situation occurrence are indicated. The parametric system oscillations, which has external influence in the beating mode, are considered. A three-dimensional phase portrait is constructed for this system, demonstrating its dynamic properties. In the presence of a frequency spectrum, the structure of phase trace is basically similar to the variant of oscillations at one frequency

Techniques to realize flexible optical terabit-per-second transmission systems

In this paper, we review emerging technologies to build up Tb/s per channel transmission capacity. We discuss the appropriate choice of modulation formats as well as options for generation and multiplexing of multiple lower bit rate subchannels. Different multiplexing approaches, mainly based on various implementations of orthogonal frequency division multiplexing and Nyquist wavelength division multiplexing are introduced. Their main strengths and weaknesses are discussed by means of selected experimental demonstrations