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A Nonrelativistic Approximation for Energy Spectrum of a Vector Particle with Anomalous Magnetic Moment in the Coulomb Field 库仑场中具有反常磁矩的矢量粒子能谱的非相对论近似
IF 0.4 Q4 Mathematics Pub Date : 2022-06-30 DOI: 10.33581/1561-4085-2022-25-2-203-206
Kudryashov V. V.
Recently, transition to the nonrelativistic limit was performed for the simplified description of a vector particle with anomalous magnetic moment in the Coulomb field. The problem was reduced to a single radial second order equation in the case of a minimal value of the total angular momentum. However, the exact energy spectrum was not obtained. In the present paper, the quantization rule within the framework of the WKB approximation modified by Langer is used. This approximation gives the exact expression for the energy in the Coulomb problem without anomalous magnetic moment. The dependence of discrete energy levels on anomalous magnetic moment is presented.
最近,对于库仑场中具有异常磁矩的矢量粒子的简化描述,进行了向非相对论极限的转换。在总角动量最小的情况下,该问题被简化为一个单一的径向二阶方程。然而,没有得到确切的能谱。在本文中,使用了Langer修改的WKB近似框架内的量化规则。这个近似给出了库仑问题中没有异常磁矩时能量的精确表达式。给出了离散能级对反常磁矩的依赖关系。
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引用次数: 0
On the Question of Hunting Optimization 关于狩猎优化问题
IF 0.4 Q4 Mathematics Pub Date : 2022-06-30 DOI: 10.33581/1561-4085-2022-25-2-197-202
Kashchenko S. A., Plyshevskaya S. P., Tolbey A. O.
This paper investigates the dynamics of the number of specimens in an isolated population living in a heterogeneous environment under the hunting influence. The conclusions regarding optimization of the hunting process are formulated. They are based on the results of the asymptotic analysis of the steady-state operating conditions.
本文研究了生活在异质环境中的孤立种群在狩猎影响下标本数量的动态变化。并给出了有关狩猎过程优化的结论。它们是基于稳态运行条件的渐近分析结果。
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引用次数: 0
Assessment of Radioactive Aerosol Wet Precipitation at the NPP Industrial Site 核电厂工业场地放射性气溶胶湿沉降的评估
IF 0.4 Q4 Mathematics Pub Date : 2022-06-30 DOI: 10.33581/1561-4085-2022-25-2-189-196
Orlovskaya V. I., Trifonov A. G.
The article presents a model for assessing wet deposition of aerosol substances by a dropping liquid and the results of simulation for aerosol particle plume dispersion on the territory of nuclear power plant industrial site, taking into account wet deposition. As sources of droplet liquid, atmospheric condensation in the form of rain and vapor-drop emissions from cooling towers are considered. The principal mechanisms of aerosol interaction with the liquid drops in the surface layer of the atmosphere are analyzed. The aerosol transfer equation has been corrected taking into account analytical and experimental data on the interaction of a liquid drops with aerosol suspensions. The numerical solution for a complete system of conservation equations with the corresponding closing relations is performed by developed computer code. Resulting, the evaluation of radioactive substances wet deposition on the characteristic surfaces of the NPP site in emergency situations was obtained.
本文提出了一个评估滴液对气溶胶物质湿沉降的模型,以及考虑湿沉降的核电站工业场地上气溶胶颗粒羽流扩散的模拟结果。作为液滴的来源,考虑了来自冷却塔的雨和汽滴排放形式的大气冷凝。分析了气溶胶与大气表层液滴相互作用的主要机制。考虑到液滴与气溶胶悬浮液相互作用的分析和实验数据,对气溶胶转移方程进行了修正。用开发的计算机代码对具有相应闭合关系的完整守恒方程组进行数值求解。由此,获得了核电站厂址在紧急情况下特征表面放射性物质湿沉降的评价。
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引用次数: 0
Momentum: QFT, Quantum Black Holes, and Some Cosmological Implications 动量:QFT、量子黑洞和一些宇宙学意义
IF 0.4 Q4 Mathematics Pub Date : 2022-06-30 DOI: 10.33581/1561-4085-2022-25-2-136-158
O. E. M., Krylova N. G., B. V., Red’kov V. M.
The paper studies the general Pauli-like equation for a Dirac fermions doublet on the background of an external non-Abelian monopole field. The variables separation has been fulfilled, the non-relativistic approximation for the radial systems has been derived. For the case of a minimal value of the conserved quantum number j = 0, the Pauli equation has been obtained in the form of one second-order differential equation. In the case j > 0, the problem has been reduced to the system of two coupled second order equations. In Bogomol'nyi-Prasad-Sommerfeld approximation, this system of equations has been solved in terms of hypergeometric functions.
本文研究了外部非阿贝尔单极子场背景下Dirac费米子二重态的一般泡利方程。实现了变量分离,导出了径向系统的非相对论近似。对于守恒量子数j=0的极小值的情况,已经以一个二阶微分方程的形式得到了泡利方程。在j>0的情况下,问题被简化为两个耦合的二阶方程组。在Bogomol'nyi-Pasad-Sommerfeld近似中,这个方程组已经用超几何函数求解。
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引用次数: 0
Development of a Machine Vision System for Image Recognition of Design Estimates 用于设计估算图像识别的机器视觉系统的开发
IF 0.4 Q4 Mathematics Pub Date : 2022-06-30 DOI: 10.33581/1561-4085-2022-25-2-159-167
Demidenko O. M., Aksionova N. A.
This paper discusses implementation of a machine vision system for pattern recognition of design estimates. The main problem in the development of these systems is the choice of unique features that remain invariant to various kinds of transformations. Angular descriptors were chosen as a dominant feature. The paper presents a comparative analysis of the corner detection methods of the Moravec algorithm, the Harris algorithm, and the Shi-Tomasi algorithm. The authors have developed software in Python language that implements the operation of the Harris detector and the Shih-Tomasi detector. The recognition system is being tested for building 3D models in Blender
本文讨论了用于设计估算模式识别的机器视觉系统的实现。这些系统开发中的主要问题是选择对各种变换保持不变的独特特征。角度描述符被选为主要特征。本文对Moravec算法、Harris算法和Shi-Tomasi算法的角点检测方法进行了比较分析。作者用Python语言开发了软件,实现了Harris检测器和Shih-Tomasi检测器的操作。识别系统正在Blender中进行3D模型构建测试
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引用次数: 0
Generalized Uncertainty Principle with Maximal Momentum: QFT, Quantum Black Holes, and Some Cosmological Implications 具有最大动量的广义不确定性原理:QFT、量子黑洞和一些宇宙学意义
IF 0.4 Q4 Mathematics Pub Date : 2022-06-30 DOI: 10.33581/1561-4085-2022-25-2-122-135
Shalyt-Margolin Alexander
This paper is a continuation of the earlier works written by the author and devoted to studies of the applicability boundary of a quantum field theory (QFT). Based on the results from black hole thermodynamics at all energy scales, this work demonstrates that, provided the Generalized Uncertainty Principle with maximal momentum at Planck scale and without a minimal length for the well-known quantum field theory, there exists a natural ultraviolet applicable boundary(cut-off) distant from the Planck scales. Some important cosmological implications from the obtained results are considered. Specifically, the number of e-folds in the inflation pattern is estimated considering the quantum-gravity corrections. Besides, particular cosmological parameters are evaluated in this case in the explicit form.
本文是作者早期著作的延续,致力于研究量子场论(QFT)的适用边界。基于黑洞热力学在所有能量尺度上的结果,本工作证明,假设广义不确定性原理在普朗克尺度上具有最大动量,而众所周知的量子场论没有最小长度,那么在远离普朗克尺度的地方存在一个天然的紫外线适用边界(截止)。从所获得的结果中考虑了一些重要的宇宙学含义。具体来说,在考虑量子引力修正的情况下,估计暴胀模式中的e折叠数。此外,在这种情况下,以显式形式对特定的宇宙学参数进行了评估。
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引用次数: 0
Low Enrichment Nuclear Fuel Based on Uranium-Zirconium Carbonitride: Reactor Tests and Preparation for Studies at Critical Assemblies 基于碳氮化铀锆的低浓缩核燃料:反应堆试验和临界组件研究准备
IF 0.4 Q4 Mathematics Pub Date : 2022-06-30 DOI: 10.33581/1561-4085-2022-25-2-177-188
Sikorin S. N., Kuzmin A. V., Mandzik S. G., Polazau S. A., Hryharovich T. K., Tukhvatulin Sh. T., Galev I. E., Bakhin A. N., Vishnevsky V. Yu., Mokrushin A. A., Izhutov A. L.
Uranium-zirconium carbonitride has been developed at the Federal State Unitarian Enterprise Scientific Research Institute the Scientific Industrial Association "Luch" (LUCH FSUE) and is a high-density high-temperature fuel with high heat conductivity capable of being used in various types of reactors, including fast reactors. The main problem hindering wide application of this fuel is insufficient knowledge of its behavior under irradiation, especially at high burnup. In the USSR, HEU UZrCN (96% by U-235) fuel underwent reactor testing to a low burnup of approximately 1%. However, to confirm practical applicability of this fuel, the fuel needs to be reactor tested at a high burnup. In the framework of a joint Belarussian-American-Russian effort, LEU (19.75% by U-235) UZrCN fuel will undergo reactor testing to a burnup of approximately 40% in the SM-3 reactor at the Joint Stock Company "State Scientific Center Research Institute of Atomic Reactors" (JSC "SSC RIAR"). To conduct the prolonged reactor experiment, an irradiating device with an experimental capsule containing UZrCN pellets has been made, neutronic analysis and thermophysical analysis have been carried out and a programme of pre-irradiation experiments has been implemented. In June 2019 a methodical experiment was carried out in the SM-3 reactor at the JSC "SSC RIAR" in order to confirm operability of the irradiating device developed. Testing of the irradiating device and refinement of the prolonged irradiation experiment procedure were carried out at cell 11 of the reflector of the SM-3 reactor at the JSC "SSC RIAR". The period of irradiation equaled 23.3 effective days. The mean power density in the tested pellets throughout the methodical reactor testing was 516 W=cm3. Burnup achieved for the pellets studied was 0.63% FIFA. The "Giacint" and "Kristal", critical facilities of the State Scientific Institution "The Joint Institute for Power and Nuclear Research - Sosny" (the Scientific Institution "JIPNR - Sosny") will be used for studying neutronic characteristics of critical and subcritical fast assemblies simulating the physical particulars of the cores of advanced gas- or liquid metal cooled fast reactor systems and accelerator driven systems. This paper provides a detailed description of the results of preparatory works for conducting the reactor testing and the results of the methodical reactor experiment. Also the experimental programme and the descriptions of the design and composition of the fast critical assemblies with UZrCN fuel are presented.
碳氮化铀锆是由联邦国家统一企业科学研究所、科学工业协会“Luch”(Luch FSUE)开发的,是一种高密度高温燃料,具有高导热性,能够用于各种类型的反应堆,包括快堆。阻碍这种燃料广泛应用的主要问题是对其在辐照下,特别是在高燃耗时的行为了解不足。在苏联,HEU UZrCN(96%由U-235组成)燃料经过反应堆测试,燃耗低至约1%。然而,为了确认该燃料的实际适用性,该燃料需要在高燃耗下进行反应堆试验。在白俄罗斯-美国-俄罗斯联合努力的框架下,低浓铀(19.75% U-235) UZrCN燃料将在股份制公司“国家原子反应堆科学中心研究所”(JSC“SSC RIAR”)的SM-3反应堆中进行反应堆测试,燃耗约为40%。为了进行长时间反应堆实验,制作了装有UZrCN球团的实验胶囊辐照装置,进行了中子分析和热物理分析,并实施了辐照前实验方案。2019年6月,在“SSC RIAR”JSC的SM-3反应堆中进行了系统实验,以确认所开发的辐照装置的可操作性。在“SSC RIAR”JSC的SM-3反应堆反射器的第11单元上进行了辐照装置的测试和长时间辐照实验程序的改进。辐照期为23.3有效日。在整个系统反应器测试过程中,测试颗粒的平均功率密度为516 W=cm3。所研究的颗粒的燃耗为0.63% FIFA。“Giacint”和“Kristal”是国家科学机构“动力与核联合研究所- Sosny”(科学机构“JIPNR - Sosny”)的关键设施,将用于研究临界和亚临界快堆的中子特性,模拟先进气体或液态金属冷却快堆系统和加速器驱动系统核心的物理特性。本文详细介绍了进行反应堆试验的准备工作的结果和有条不紊的反应堆试验的结果。本文还介绍了实验方案,以及使用UZrCN燃料的快临界组件的设计和组成。
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引用次数: 0
Generalized Helicity Operator for a Spin 2 Particle in the Presence of an External Uniform Magnetic Field 外均匀磁场作用下自旋2粒子的广义螺旋算子
IF 0.4 Q4 Mathematics Pub Date : 2022-06-30 DOI: 10.33581/1561-4085-2022-25-2-104-121
Ivashkevich A. V., Buryy A. V., O. E. M., Chichurin A. S., Red’kov V. M.
The eigenvalue problem for generalized helicity operator for a spin 2 particle in the presence of a uniform magnetic field is solved. After separating variables in the basis of cylindrical tetrad the system of 10 first order differential equations is derived, it is split into two independent subsystems of four and six equations. First, the free particle is studied. The system of four equations is solved straightforwardly in terms of the confluent hypergeometric functions, there are found corresponding eigenvalues and eigenfunctions. Subsystem of six equations leads to one ordinary 4-th order differential equation. Corresponding operator is factorized into the product of two commuting 2-nd order operators, so the problem reduces to solving two differential equations of the 2-nd order. Their solutions are constructed in terms of the Bessel functions. The problem is extended to a presence of an external uniform magnetic field, the method is much the same, the explicit solutions are constructed in terms of the confluent hypergeometric functions. The helicity eigenvalues are described in an implicit form, as solutions of the polynomial equations of 3-rd and 5-th orders.
研究了均匀磁场存在下自旋2粒子广义螺旋算子的本征值问题。在柱面四分体的基础上分离变量,导出了由10个一阶微分方程组成的系统,并将其分为4个方程和6个方程两个独立的子系统。首先,对自由粒子进行了研究。用合流超几何函数直接求解了四方程系统,得到了相应的特征值和特征函数。六个方程的子系统得到一个普通的四阶微分方程。将相应算子分解为两个可交换的二阶算子的乘积,使问题简化为求解两个二阶微分方程。它们的解是用贝塞尔函数构造的。将问题推广到存在外均匀磁场的情况,方法基本相同,用合流超几何函数构造显式解。螺旋度特征值以隐式形式描述为3阶和5阶多项式方程的解。
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引用次数: 0
On Integrability of a Third-Order Complex Nonlinear Wave Equation 一类三阶复非线性波动方程的可积性
IF 0.4 Q4 Mathematics Pub Date : 2022-05-19 DOI: 10.33581/1561-4085-2022-25-4-381-386
S. Sakovich
We show that the new third-order complex nonlinear wave equation, introduced recently by Müller-Hoissen [arXiv:2202.04512], does not pass the Painlevé test for integrability. We find two reductions of this equation, one integrable and one non-integrable, whose solutions jointly cover all solutions of the original equation.
我们证明了最近由m ller- hoissen [arXiv:2202.04512]引入的新的三阶复非线性波动方程不通过painlev可积性检验。我们找到了这个方程的两种化简形式,一种是可积的,一种是不可积的,它们的解共同覆盖了原方程的所有解。
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引用次数: 1
How Nonlinear Science Leads to Continuous Innovation in an Academic and Productive High-Tech Community 非线性科学如何在学术和生产高科技社区中引领持续创新
IF 0.4 Q4 Mathematics Pub Date : 2022-03-31 DOI: 10.33581/1561-4085-2022-25-1-1-12
L. Fortuna, M. L. Presti, M. Lavorgna, G. Rizzotto
In this contribution, the fundamental importance that Nonlinear Science gave and is giving to a community of researchers from both university and private companies in terms of innovation and advanced knowledge will be explained. In the literature it is not often discussed the development and the history of researcher groups and the decisive role that some events positively address the scientific community and the development of the territory. Today, after more decades, the authors remark the impact that Nonlinear Science had on their community, leading to a continuous innovation process in academic research groups and in high technology companies. The genesis of this process is reported and detailed in the paper.
在这篇文章中,将解释非线性科学在创新和先进知识方面给予和正在给予来自大学和私营公司的研究人员社区的根本重要性。在文献中,不经常讨论研究小组的发展和历史,以及一些事件对科学界和该领域发展的决定性作用。几十年后的今天,作者评述了非线性科学对他们的社区的影响,在学术研究团体和高科技公司中引领了一个持续的创新过程。本文对这一过程的起因作了详细的报道。
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引用次数: 0
期刊
Nonlinear Phenomena in Complex Systems
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