现代红外光谱技术用于复方四逆汤的配伍研究

利用傅里叶变换红外光谱(FTIR)技术对不同配伍方式的四逆汤水煎液进行了研究。结果表明,不同配伍方式样品的红外谱图特征具有一定的变化规律。根据对特征峰的指认和归属,可初步揭示复方四逆汤配伍中君、臣、佐、使之间的相互作用和药物剂量对复方整体配伍规律的影响。该方法为探索中药复方配伍研究提供了新思路。     

一些静电场能量公式的适用范围

讨论并给出了一些静电场能量公式的适用范围,指出明确公式的适用范围是运用这些公式的前提．     

Models for the Brightness Temperature of Extended Targets at MM Wave Frequency

An experimental method of establishing formulas for calculating brightness temperature of extended targets at mm wave frequency is introduced in this paper. The formulas are obtained through the statistic process of a large amount of measured data. The formulas for concrete road, asphalt road, and crushed stone are presented, which are established by this method.     

Dependence of the backscattering factor in aes on the primary electron incidence angle

The formulas defining the backscattering factor met with in the literature are derived from the general definition. These formulas are shown to depend on the simplifying assumptions made in the derivation. The Monte Carlo algorithm is used to calculate the dependence of the backscattering factor on the primary electron incidence angle for different defining formulas. Considerable differences were found between values of the backscattering factor resulting from these definitions at grazing incidence of primary electrons.     

Calculation of the gas flow rate in a microchannel

Approximation formulas are obtained for calculation of the gas flow rate in long isothermal microchannels. The quasi-gas-dynamic equations with Maxwell’s slip conditions are shown to predict a minimum in the flow rate within a channel that is called the Knudsen minimum. Corrections are proposed enabling derivation of approximate formulas for flow rates valid for any Knudsen number.     

Asymptotic behaviors of the stress fields in the vicinity of dislocations and dislocation segments

We obtain the singular asymptotic behavior of the stress field in the vicinity of a non-planar dislocation in three dimensions and the nearly singular behavior of the full self-force of the dislocation including both glide and climb forces, using asymptotic analysis. We also derive asymptotic formulas for the stress field in the vicinity of a curved dislocation segment. Numerical examples are presented to examine the asymptotic formulas. The obtained formulas can be used for qualitative understanding of the stress tensor associated with dislocations and efficient and accurate calculation of the stress tensor in dislocation dynamics simulations.     

Reflection and transmission coefficients of electromagnetic waves with different polarizations on a one-dimensional layer of an inhomogeneity of the medium

We have obtained strict formulas (without approximations) for the reflection and transmission coefficients of electromagnetic waves with an arbitrary polarization in an isotropic medium with a one-dimensional layer of an inhomogeneity of an arbitrary profile playing the role of a transition layer between two different homogeneous media. Since these formulas involve values that are found by numerically integrating the first-order ordinary differential equations, the result of this paper is a fast and convenient method for calculating the above coefficients. The calculated results for two particular cases are given. An analytical limiting passage from the obtained formulas to the particular case of a sharp interface between the media (i.e., to known Fresnel formulas) is presented.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 39, No. 9, pp. 1075–1086, September, 1996.This work was supported by the Russian Foundation for Fundamental Research.     

Account for the wedgeness and inhomogeneity of thin layers in the inverse problem of spectrophotometry on reflection

General formulas for reflectance of a weakly or moderately absorbing tapered layer and a layer with a linear dependence of the complex dielectric constant on the thickness, which are located on an absorbing substrate, are derived. Based on these formulas, a method for determining the optical constants, their dispersion, and the layer thickness from the envelopes of the extrema in the interference reflection spectrum is constructed, which generalizes the method proposed previously for homogeneous absorbing films.     

Evanescent wave contribution to the diffracted amplitude for spherical geometry

Calculation of the diffracted amplitude for the diffracting aperture on a sphere is briefly reviewed. Explicit formulas are given to compute the diffracted amplitude. In these formulas the real wave and evanescent wave contributions are discussed.     

Feynman formulas for the diffusion of particles with position-dependent mass

In the present paper, Feynman formulas are obtained for Schrödinger semigroups generated by self-adjoint operators which are perturbations of self-adjoint extensions of the second-order Hamiltonian operator ?Δ _g,0/2+V (throughout the paper, the coefficient ?1/2 at Δ _g,0 is omitted to simplify the formulas) which describe the diffusion of a quasiparticle with position-dependent mass varying jump-like on a line. Every extension of this kind is defined by some invertible operator and is characterized by matching conditions at a jump point. The Schrödinger semigroups generated by self-adjoint Laplace operators and defined by the corresponding boundary conditions define solutions of initial-boundary value problems. In turn, the term “Feynman formulas” is applied (in the present case) to an explicit representation of the Schrödinger semigroup \(e^{t\hat H^T } \) in the form of a limit of integrals of finite multiplicity over Cartesian powers of some configuration space. In essence, the Feynman-Kac formula is a “probabilistic interpretation” of the Feynman formulas. Namely, the multiple integrals in the Feynman formulas approximate integrals against some measures on the space of trajectories (functions defined on an interval of the real line and ranging in the configuration space). Thus, the Feynman formulas enable one to evaluate integrals over spaces of trajectories. A crucial role in the proof of the Feynman formulas is played by the Chernoff theorem, which is a generalization of the famous Trotter formula. The result proved in the present paper is a demonstration of a part of the results recently announced by O. G. Smolyanov and H. von Weizäcker (“Feynman Formulas Generated by Self-Adjoint Extensions of the Laplacian,” Dokl. Ross. Akad. Nauk 426 (2), 162–165 (2009) [Doklady Mathematics, 2009 79 (3), 335–338 (2009)]). The formulations of the results in question are inessentially modified here.     

Bremsstrahlung of ultrarelativistic deuterons in the field of the nucleus

We consider the differential cross section for bremsstrahlung of ultrarelativistic deuterons subject to diffraction scattering by nuclei. By comparison of the approximate formulas obtained here with exact numerical calculations, the region of applicability of the approximate formulas is discussed.Translated from Izvestiya Vysshykh Uchebnykh Zavedenii, Fizika, No. 2, pp. 16–19, February, 1987.     

The modified kontorovich-lebedev transform and its application to solving canonical problems of diffraction

The aim of this work is to fill the gap between three-dimensional embedding formulas for problems of diffraction by cones and the modified Smyshlyaev formulas. The three-dimensional embedding formulas express the diffraction effect in the form of iterated integrals over spatial variables. The modified Smyshlyaev formulas express it in the form of a single contour integral with respect to the parameter ν of separation of variables. This situation resembles the theorem of convolution for the Fourier transform: repeated convolutions are expressed by a single integral with respect to frequency. In [1], where the modified Smyshlyaev formulas were introduced for the first time, these formulas were hypothesized and then proved. No regular method for deriving them has been proposed. The extension of the analogy with the Fourier transform to the case of conical problems of diffraction enables one to construct a technique for transformation of contour integrals that can be used for deriving the modified Smyshlyaev formulas directly from the three-dimensional embedding formulas. This extension is performed by introducing an integral transform similar to the Kontorovich-Lebedev transform, for which analogs of the theorem of convolution and the Plancherel formulas can be successfully proved.     

Effect of nuclear-surface diffuseness on the energy and width of the giant dipole resonance

The effect of nuclear-surface diffuseness on the energy and width of the giant dipole resonance is studied, and approximating formulas are obtained for these quantities. These formulas make it possible to describe experimental data in the mass range 16<A<240.     

On the theory of radiation of an infinitely long charged current-carrying thread in a uniaxial transparent crystal

The problem relating to the synchrotron radiation of a charged current-carrying thread in a uniaxial transparent crystal is considered here using the Sitenko-Kolomensky method. The formulas for the intensity of the synchrotron radiation and the limiting values of the formulas giving the intensity of the Cerenkov radiation of a thread moving uniformly and rectilinearly parallel to the optical axis of a crystal have been derived.     

Madelung and dispersion contributions to the binding energy of an ion on the unrelaxed (100) and (110) faces of the NaCl-type crystal

Very simple formulas have been derived, which make possible the calculation with a high accuracy of the Madelung and dispersion contributions to the binding energy of an ion on the unrelaxed surface of a NaCl-type crystal. The formulas can be applied to practically all possible positions of a surface ion.     

Fine structure of the soliton signal in the magnetic chain in an external magnetic field near a critical value

As is known, there is a critical magnetic field which separates two principally different zones for the soliton signal propagation in magnetic chains, the sine-Gordon zone and the Heisenberg zone. We investigate the fine structure of these signals in a neighborhood of the critical field with nonzero soliton velocity. Explicit formulas both for the azimuthal kink and meridional soliton are obtained. These formulas take into account the nonlinear interaction of soliton structures. Dedicated to the memory of Vladimir Borovikov     

γ谱测量中级联符合效应修正研究

从基本概念出发推导出了简单衰变纲图、较复杂衰变纲图和复杂衰变纲图的γ射线级联符合修正公式, 然后用这些公式计算了¹³³Ba和⁶⁰Co的γ射线级联符合修正系数, 同时指出一些文献中所给出的修正公式之不妥.     

Lorentz covariant approach in the gravitation theory

The gravitation theory is constructed in the framework of the flat Minkowski space-time. The approach is found that provides unambiguity of the construction. The derived formulas coincide in form with the formulas of general relativity theory.     

An integration formula for the square of moment maps of circle actions

The integration of the exponential of the square of the moment map of the circle action is studied by a direct stationary phase computation and by applying the Duistermaat-Heckman formula. Both methods yield two distinct formulas expressing the integral in terms of contributions from the critical set of the square of the moment map. Certain cohomological pairings on the symplectic quotient are computed explicitly using the asymptotic behavior of the two formulas.     

A Kinetic Equation for the Distribution of Interaction Clusters in Rarefied Gases

We consider a stochastic particle model governed by an arbitrary binary interaction kernel. A kinetic equation for the distribution of interaction clusters is established. Under some additional assumptions a recursive representation of the solution is found. For particular choices of the interaction kernel (including the Boltzmann case) several explicit formulas are obtained. These formulas are confirmed by numerical experiments. The experiments are also used to illustrate various conjectures and open problems.