Linear Relaxation Processes Governed by Fractional Symmetric Kinetic Equations

We get fractional symmetric Fokker - Planck and Einstein - Smoluchowski kinetic equations, which describe evolution of the systems influenced by stochastic forces distributed with stable probability laws. These equations generalize known kinetic equations of the Brownian motion theory and contain symmetric fractional derivatives over velocity and space, respectively. With the help of these equations we study analytically the processes of linear relaxation in a force - free case and for linear oscillator. For a weakly damped oscillator we also get kinetic equation for the distribution in slow variables. Linear relaxation processes are also studied numerically by solving corresponding Langevin equations with the source which is a discrete - time approximation to a white Levy noise. Numerical and analytical results agree quantitatively.Comment: 30 pages, LaTeX, 13 figures PostScrip

Hospital-based health care use correlates with incidence of adverse events among elderly Medicare patients treated in adjuvant chemotherapy trials (Alliance 70802)

Medicare claims can be useful in chemotherapy-related comparative effectiveness research (CER) estimating survival, but methods for estimating patients’ treatment morbidity are currently lacking. We sought to determine if patients’ health care use in the claims is a marker of treatment morbidity

Fractional Derivative as Fractional Power of Derivative

Definitions of fractional derivatives as fractional powers of derivative operators are suggested. The Taylor series and Fourier series are used to define fractional power of self-adjoint derivative operator. The Fourier integrals and Weyl quantization procedure are applied to derive the definition of fractional derivative operator. Fractional generalization of concept of stability is considered.Comment: 20 pages, LaTe

Many-worlds interpretation of quantum theory and mesoscopic anthropic principle

We suggest to combine the Anthropic Principle with Many-Worlds Interpretation of Quantum Theory. Realizing the multiplicity of worlds it provides an opportunity of explanation of some important events which are assumed to be extremely improbable. The Mesoscopic Anthropic Principle suggested here is aimed to explain appearance of such events which are necessary for emergence of Life and Mind. It is complementary to Cosmological Anthropic Principle explaining the fine tuning of fundamental constants. We briefly discuss various possible applications of Mesoscopic Anthropic Principle including the Solar Eclipses and assembling of complex molecules. Besides, we address the problem of Time's Arrow in the framework of Many-World Interpretation. We suggest the recipe for disentangling of quantities defined by fundamental physical laws and by an anthropic selection.Comment: 11 page

Quantum transfer matrices for discrete and continuous quasi-exactly solvable problems

We clarify the algebraic structure of continuous and discrete quasi-exactly solvable spectral problems by embedding them into the framework of the quantum inverse scattering method. The quasi-exactly solvable hamiltonians in one dimension are identified with traces of quantum monodromy matrices for specific integrable systems with non-periodic boundary conditions. Applications to the Azbel-Hofstadter problem are outlined.Comment: 15 pages, standard LaTe

The Fermi accelerator in atom optics

We study the classical and quantum dynamics of a Fermi accelerator realized by an atom bouncing off a modulated atomic mirror. We find that in a window of the modulation amplitude dynamical localization occurs in both position and momentum. A recent experiment [A. Steane, P. Szriftgiser, P. Desbiolles, and J. Dalibard, Phys. Rev. Lett. {\bf 74}, 4972 (1995)] shows that this system can be implemented experimentally.Comment: 5 pages, 5 figure

Eczema: tactics of choice external therapy

The therapeutic effects of synthetic tannins are based on their binding action, as well as on their anti-pruritic, antimicrobial and anti-inflammatory effects. Materials and methods. A clinical study of Neotanin spray, Neotanin lotion (suspension) and Neotanin cream was carried out in 8 clinical centres during the period from June, 2017 to January, 2018. The study had an open and non-comparative character. The study included 68 patients of both sex es aged from 1 month to 80 years suffering from eczema dermatosis in the acute weeping phase, including cases with complications after secondary infections (including eczema elements localized on the face). Before the study, information on the clinical history, demographic data, co-morbidities, physical examination data of the patients was collected. The treatment regimen included 2 stages: 1) Neotanin in the spray or lotion (suspension) form 3–4 times per day during 1–5 days, up to the full drying of eczema elements; 2) Neotanin in the cream form 3 times per day, up to the disappearance of the clinical manifestations of skin dermatosis. The duration of the study ranged from 5 to 14 days: the study was completed when a patient had achieved remission. The criteria for assessing the drug efficacy were as follows: dynamics of subjective complaints, objective assessment of the patient's condition (the presence and severity of clinical symptoms), dynamics of the Dermatology Life Quality Index (DLQI). Results. Neotanin preparations showed a high efficacy in the acute and subacute stages of the inflammatory process as an antipruritic agent. Itching stopped within 5 minutes after the drug application, with the antipruritic effect lasting for an average of 3–4 hours. In 85 % of the patients, marked excoriations were absent on the 3rd day of treatment. Neotanin demonstrated a pronounced anti-inflammatory effect. In 92 % of the patients, the symptoms of erythema and edema were significantly reduced one week after the beginning of treatment, with the manifestations of inflammatory exudation being conclusively decreased. One week following the beginning of treatment, 100 % of the patients demonstrated no oozing lesions. The absence of serious undesirable effects in the patients during the study evidences to the good tolerability and safety of this drug

Geometry and field theory in multi-fractional spacetime

We construct a theory of fields living on continuous geometries with fractional Hausdorff and spectral dimensions, focussing on a flat background analogous to Minkowski spacetime. After reviewing the properties of fractional spaces with fixed dimension, presented in a companion paper, we generalize to a multi-fractional scenario inspired by multi-fractal geometry, where the dimension changes with the scale. This is related to the renormalization group properties of fractional field theories, illustrated by the example of a scalar field. Depending on the symmetries of the Lagrangian, one can define two models. In one of them, the effective dimension flows from 2 in the ultraviolet (UV) and geometry constrains the infrared limit to be four-dimensional. At the UV critical value, the model is rendered power-counting renormalizable. However, this is not the most fundamental regime. Compelling arguments of fractal geometry require an extension of the fractional action measure to complex order. In doing so, we obtain a hierarchy of scales characterizing different geometric regimes. At very small scales, discrete symmetries emerge and the notion of a continuous spacetime begins to blur, until one reaches a fundamental scale and an ultra-microscopic fractal structure. This fine hierarchy of geometries has implications for non-commutative theories and discrete quantum gravity. In the latter case, the present model can be viewed as a top-down realization of a quantum-discrete to classical-continuum transition.Comment: 1+82 pages, 1 figure, 2 tables. v2-3: discussions clarified and improved (especially section 4.5), typos corrected, references added; v4: further typos correcte

The Physics of the B Factories

This work is on the Physics of the B Factories. Part A of this book contains a brief description of the SLAC and KEK B Factories as well as their detectors, BaBar and Belle, and data taking related issues. Part B discusses tools and methods used by the experiments in order to obtain results. The results themselves can be found in Part C