Collectivity, Phase Transitions and Exceptional Points in Open Quantum Systems

Phase transitions in open quantum systems, which are associated with the formation of collective states of a large width and of trapped states with rather small widths, are related to exceptional points of the Hamiltonian. Exceptional points are the singularities of the spectrum and eigenfunctions, when they are considered as functions of a coupling parameter. In the present paper this parameter is the coupling strength to the continuum. It is shown that the positions of the exceptional points (their accumulation point in the thermodynamical limit) depend on the particular type and energy dependence of the coupling to the continuum in the same way as the transition point of the corresponding phase transition.Comment: 22 pages, 4 figure

Pseudo-Hermiticity of an Exactly Solvable Two-Dimensional Model

We study a two-dimensional exactly solvable non-Hermitian $PT-$non-symmetric quantum model with real spectrum, which is not amenable to separation of variables, by supersymmetrical methods. Here we focus attention on the property of pseudo-Hermiticity, biorthogonal expansion and pseudo-metric operator. To our knowledge this is the first time that pseudo-Hermiticity is realized explicitly for a nontrivial two-dimensional case. It is shown that the Hamiltonian of the model is not diagonalizable.Comment: 14 page

Ингибирование активности каспазы-2 в клетках Т-клеточной лимфомы человека Jurkat при помощи переключающего сплайсинг олигонуклеотида к её пре-мРНК

Caspase-2 is a key enzyme thinvolved in induction of apoptosis. The caspase-2 level is regulated by alternative splicing (AS) of its mRNA. The aim of this work was to determine the ability of an oligonucleotide complementary to Casp-2 pre-mRNA to induce AS. This oligonucleotide blocked the binding of splicing-regulating proteins to their sites at the end of exon 9 of Casp-2 pre-mRNA, leading to induction of AS of Casp-2 mRNA. The decrease in expression of full-size active splice-variant (Casp-2L) and the increase the expression of a shortened variant (Casp-2S) was demonstrated in human T-cell lymphoma Jurkat cell line. The expression level of total Casp-2 remained unchanged. Disproportion of splice variants of Casp-2 led to inhibition of enzymatic activity of caspase-2.Каспаза-2 является ферментом, участвующим в индукции апоптоза. Количество активного фермента каспазы-2 регулируется альтернативным сплайсингом (АС) её мРНК. Целью данной работы было определение способности олигонуклеотида, комплементарного пре-мРНК Casp-2, индуцировать АС. Данный олигонуклеотид блокировал связывание регулирующих сплайсинг белков со своими сайтами на конце экзона 9 пре-мРНК Casp-2, что приводило к индукции АС мРНК Casp-2: понижению экспрессии полноразмерного активного сплайс-варианта Casp-2L и повышению экспрессии укороченного варанта Casp-2S в клетках Т-клеточной лимфомы человека линии Jurkat. При этом уровень экспрессии общей Casp-2 не изменялся. Нарушуение пропорции сплайс-вариантов Casp-2 приводил к ингибированию ферментативной активности каспазы-2

Hamiltonian systems of hydrodynamic type in 2 + 1 dimensions

We investigate multi-dimensional Hamiltonian systems associated with constant Poisson brackets of hydrodynamic type. A complete list of two- and three-component integrable Hamiltonians is obtained. All our examples possess dispersionless Lax pairs and an infinity of hydrodynamic reductions.Comment: 34 page

Highly reflective Ru Y multilayer mirrors for the spectral range of 9 11 nm

The results of the investigation of the reflective characteristics of multilayer mirrors based on Ru Y are presented. Reflection coefficients at the level of 38.5 at an operating wavelength of 9.4 nm. It is shown that the deposition of B4C barrier layers onto Y layers makes it possible to significantly increase the reflection coefficient compared to structures without barrier layers. A reflectance of 54 was obtained for mirrors optimized for 11.4 nm, which is close to the theoretical limit for these material

A toy model of fractal glioma development under RF electric field treatment

A toy model for glioma treatment by a radio frequency electric field is suggested. This low-intensity, intermediate-frequency alternating electric field is known as the tumor-treating-field (TTF). In the framework of this model the efficiency of this TTF is estimated, and the interplay between the TTF and the migration-proliferation dichotomy of cancer cells is considered. The model is based on a modification of a comb model for cancer cells, where the migration-proliferation dichotomy becomes naturally apparent. Considering glioma cancer as a fractal dielectric composite of cancer cells and normal tissue cells, a new effective mechanism of glioma treatment is suggested in the form of a giant enhancement of the TTF. This leads to the irreversible electroporation that may be an effective non-invasive method of treating brain cancer.Comment: Submitted for publication in European Physical Journal

Quantum deformation of the angular distributions of synchrotron radiation. Emission of particles in the first excited state

The exact expressions for the characteristics of synchrotron radiation of charged particles in the first excited state are obtained in analytical form using quantum theory methods. We performed a detailed analysis of the angular distribution structure of radiation power and its polarization for particles with spin 0 and 1/2. It is shown that the exact quantum calculations lead to results that differ substantially from the predictions of classical theory

Физико-химические свойства мутантных форм L-аспарагиназы из Rhodospirillum rubrum, обладающих антителомеразной активностью

Rru_A3730 protein is a bacterial Rhodospirillum rubrum L-asparaginase (RrA), which is known by its anticancer activity. RrA variants with point amino acid substitutions in the region of 150 amino acids residues: RrA17N, K149E, RrAE149R, V150P, F151T, RrА17N, E149R, V150P, RrAE149R, V150P, showed antiproliferative properties, and also by their ability to suppress telomerase activity. This work is devoted to comparison of physical-chemical and catalytic properties of these mutant forms of RrA. It is shown that pH optimum is in the alkaline zone (8.5 – 9.3); L-glutaminase and D-asparaginase activity is respectively not more than 0.1% and 1.6% of L-asparaginase for all studied variants of RrA. The presence of the N17-terminal amino acid sequence MASMTGGQMGRGSSRQ of the capsid protein of bacteriophage T7 in the RrA structure leads to an increase in the thermal stability of mutant RrA analogues (from 50°C to 56°C) and their resistance to denaturation in the presence of 3 – 4 M urea. It is of Metal ions exhibit multidirectional effects on L-asparaginase activity of RrA. K+, Ca2+, Zn2+, Cs+, Co2+ in significantly affect the activity of L-asparaginase, while Mn2+, Cu2+, Fe3+ ions inhibit it. There was no correlation between antitelomerase (antiproliferative) activity and kinetic properties of mutant forms of L-asparaginase RrA.Белок Rru_A3730, известный как бактериальная L-аспарагиназа Rhodospirillum rubrum, представляет интерес в качестве потенциального противоопухолевого средства, особенно её варианты с точечными аминокислотными заменами в районе 150 аминокислотного остатка (а.к.о.): RrA17N, K149E, RrAE149R, V150P, F151T, RrА17N, E149R, V150P, RrAE149R, V150P, обладающие не только антипролиферативными свойствами, но и способностью подавлять активность теломеразы. Данная работа посвящена сравнению физико-химических и каталитических свойств этих мутантных форм RrA. Показано, что для всех изученных вариантов RrA рН оптимум находится в щелочной зоне (8.5 – 9.3); L-глутаминазная и D-аспарагиназная активность составляют, соответственно, не более 0.1% и 1.6% от L-аспарагиназной. Присутствие 17N-концевой аминокислотной последовательности MASMTGGQQMGRGSSRQ капсидного белка бактериофага Т7 в структуре RrA приводит к повышению термостабильности мутантных аналогов RrA (от 50°С до 56°С) и их устойчивости к денатурации в присутствии 3 – 4 М мочевины. Выявлен разнонаправленный эффект ионов металлов на L-аспарагиназную активность вариантов RrA: ионы K+, Ca2+, Zn2+, Cs+, Co2+ существенно не влияют на активность L-аспарагиназы, добавление ионов Mn2+, Cu2+, Fe3+ приводит к снижению активности. Не обнаружено корреляции между антителомеразной (антипролиферативной) активностью и кинетическими свойствами мутантных форм L-аспарагиназы RrA

Interface electronic states and boundary conditions for envelope functions

The envelope-function method with generalized boundary conditions is applied to the description of localized and resonant interface states. A complete set of phenomenological conditions which restrict the form of connection rules for envelope functions is derived using the Hermiticity and symmetry requirements. Empirical coefficients in the connection rules play role of material parameters which characterize an internal structure of every particular heterointerface. As an illustration we present the derivation of the most general connection rules for the one-band effective mass and 4-band Kane models. The conditions for the existence of Tamm-like localized interface states are established. It is shown that a nontrivial form of the connection rules can also result in the formation of resonant states. The most transparent manifestation of such states is the resonant tunneling through a single-barrier heterostructure.Comment: RevTeX4, 11 pages, 5 eps figures, submitted to Phys.Rev.

Ultra-high field transport in GaN-based heterostructures

This paper describes measurements of the velocity of electrons at electric fields up to 100 kV/cm in GaN/AlGaN heterostructures. In order to avoid the Joule heating effect, a pulse technique with a time sweep of 10-30 ns was used. The experimental results indicate that overheating of the 2DEG does not exceed 1000 K in this electric field range and drift velocity as high as ~10⁷ cm/s was obtained. Additionally, the low frequency 1/f noise spectra measured for a different bias voltage are analyzed with respect to field-induced contribution of hopping conductivity in AlGaN barrier region