Pub Date : 2019-01-01DOI: 10.18384/2310-7251-2019-2-6-13
S. B. Zabelina, T. Marchenko, O. Matveyev, I. Pinchuk
{"title":"GEOMETRIC AND ALGEBRAIC PROPERTIES OF FIRST-ORDER DIFFERENTIAL EQUATIONS ON SMOOTH FINITE-DIMENSIONAL REAL MANIFOLDS","authors":"S. B. Zabelina, T. Marchenko, O. Matveyev, I. Pinchuk","doi":"10.18384/2310-7251-2019-2-6-13","DOIUrl":"https://doi.org/10.18384/2310-7251-2019-2-6-13","url":null,"abstract":"","PeriodicalId":33476,"journal":{"name":"Vestnik moskovskogo gosudarstvennogo oblastnogo universiteta Seriia Fizikamatematika","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"67947566","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2019-01-01DOI: 10.18384/2310-7251-2019-2-61-73
E. A. Bedrikova, Ludmila S. Seregina
Бедрикова Е. А., Серегина Л. С. Московский государственный областной университет 141014, г. Московская область, г. Мытищи, ул. Веры Волошиной, д. 24 Российская Федерация Аннотация. В настоящей работе проводится исследование собственных функций характеристического уравнения, отвечающего кинетическому уравнению для бозе-газ с постоянной частотой столкновения частиц. Используется решение однородной краевой задачи Римана. Обобщается теория ортогональности собственных функций на квантовые газы, а именно на бозе-газ. Свойства ортогональности, положенные в основу кинетической теории, позволяют находить аналитическое решение задач с граничными условиями. Ключевые слова: бозе-газ, равновесная функция распределения Бозе-Эйнштейна, дисперсионная функция, собственные функции, ортогональность собственных функций.
{"title":"ORTHOGONALITY OF EIGENFUNCTIONS FOR A BOSE GAS IN THE CASE OF A CONSTANT FREQUENCY OF PARTICLE COLLISIONS","authors":"E. A. Bedrikova, Ludmila S. Seregina","doi":"10.18384/2310-7251-2019-2-61-73","DOIUrl":"https://doi.org/10.18384/2310-7251-2019-2-61-73","url":null,"abstract":"Бедрикова Е. А., Серегина Л. С. Московский государственный областной университет 141014, г. Московская область, г. Мытищи, ул. Веры Волошиной, д. 24 Российская Федерация Аннотация. В настоящей работе проводится исследование собственных функций характеристического уравнения, отвечающего кинетическому уравнению для бозе-газ с постоянной частотой столкновения частиц. Используется решение однородной краевой задачи Римана. Обобщается теория ортогональности собственных функций на квантовые газы, а именно на бозе-газ. Свойства ортогональности, положенные в основу кинетической теории, позволяют находить аналитическое решение задач с граничными условиями. Ключевые слова: бозе-газ, равновесная функция распределения Бозе-Эйнштейна, дисперсионная функция, собственные функции, ортогональность собственных функций.","PeriodicalId":33476,"journal":{"name":"Vestnik moskovskogo gosudarstvennogo oblastnogo universiteta Seriia Fizikamatematika","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"67947749","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2019-01-01DOI: 10.18384/2310-7251-2019-2-24-48
V. Vedenyapin, N. N. Fimin, V. Chechetkin
. Using the classical Lorentz–Hilbert–Einstein action, we derive the kinetic Vlasov– Maxwell–Einstein equation for particles in the gravitational and electromagnetic fields. The method of synchronization of intrinsic times of different particles is proposed. Based on the obtained expressions for actions (including in the post-Newtonian approximation), we analyze the connection of the cosmological lambda-term and dark energy.
{"title":"DERIVATION OF VLASOV-MAXWELL-EINSTEIN EQUATION AND ITS CONNECTION WITH COSMOLOGICAL LAMBDA-TERM","authors":"V. Vedenyapin, N. N. Fimin, V. Chechetkin","doi":"10.18384/2310-7251-2019-2-24-48","DOIUrl":"https://doi.org/10.18384/2310-7251-2019-2-24-48","url":null,"abstract":". Using the classical Lorentz–Hilbert–Einstein action, we derive the kinetic Vlasov– Maxwell–Einstein equation for particles in the gravitational and electromagnetic fields. The method of synchronization of intrinsic times of different particles is proposed. Based on the obtained expressions for actions (including in the post-Newtonian approximation), we analyze the connection of the cosmological lambda-term and dark energy.","PeriodicalId":33476,"journal":{"name":"Vestnik moskovskogo gosudarstvennogo oblastnogo universiteta Seriia Fizikamatematika","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"67947345","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2019-01-01DOI: 10.18384/2310-7251-2018-3-82-89
P. Éminov
Аннотация. В дипольном приближении исследованы процессы вынужденного излучения и поглощения света электроном на цилиндрической поверхности во внешнем поле, образованном суперпозицией магнитного и электростатического полей одинакового направления. Найдены правила отбора и соответствующие частоты излучения. Вычислена суммарная энергия вынужденного излучения и поглощения. Ключевые слова: индуцированное излучение и поглощение, правила отбора
{"title":"STIMULATED EMISSION AND ABSORPTION OF LIGHT BY AN ELECTRON ON A CYLINDRICAL SURFACE","authors":"P. Éminov","doi":"10.18384/2310-7251-2018-3-82-89","DOIUrl":"https://doi.org/10.18384/2310-7251-2018-3-82-89","url":null,"abstract":"Аннотация. В дипольном приближении исследованы процессы вынужденного излучения и поглощения света электроном на цилиндрической поверхности во внешнем поле, образованном суперпозицией магнитного и электростатического полей одинакового направления. Найдены правила отбора и соответствующие частоты излучения. Вычислена суммарная энергия вынужденного излучения и поглощения. Ключевые слова: индуцированное излучение и поглощение, правила отбора","PeriodicalId":33476,"journal":{"name":"Vestnik moskovskogo gosudarstvennogo oblastnogo universiteta Seriia Fizikamatematika","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"67946056","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2019-01-01DOI: 10.18384/2310-7251-2019-2-96-105
V. Isaev
The paper discusses the history of the discovery of the Rayleigh–Jeans law of thermal radiation. This discovery was an important step in the prehistory of the discovery of the universal Kirchhoff function. The discovery of this function by M. Planck in December 1900 led to the gradual development of quantum theory and to the appearance of quantum mechanics in 1925–1926, which was in fact the beginning of a new physical era, i.e. quantum physics.
{"title":"J. W. STRUTT (LORD RAYLEIGH) AND HISTORY OF THE DISCOVERY OF THE RAYLEIGH-JEANS LAW OF THERMAL RADIATION","authors":"V. Isaev","doi":"10.18384/2310-7251-2019-2-96-105","DOIUrl":"https://doi.org/10.18384/2310-7251-2019-2-96-105","url":null,"abstract":"The paper discusses the history of the discovery of the Rayleigh–Jeans law of thermal radiation. This discovery was an important step in the prehistory of the discovery of the universal Kirchhoff function. The discovery of this function by M. Planck in December 1900 led to the gradual development of quantum theory and to the appearance of quantum mechanics in 1925–1926, which was in fact the beginning of a new physical era, i.e. quantum physics.","PeriodicalId":33476,"journal":{"name":"Vestnik moskovskogo gosudarstvennogo oblastnogo universiteta Seriia Fizikamatematika","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"67948905","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2019-01-01DOI: 10.18384/2310-7251-2019-4-22-29
A. Yushkanov, T. N. Lam
The behavior of a degenerate electron plasma under the action of a weak electric field is considered. The linearization of the kinetic equation is performed. Analytical expressions are presented for all input parameters in the linearized kinetic equation. It is shown that the linearized equation describes the response of a plasma to an external electric field.
{"title":"LINEARIZATION OF THE KINETIC EQUATION FOR ELECTRONSIN A DEGENERATE PLASMA","authors":"A. Yushkanov, T. N. Lam","doi":"10.18384/2310-7251-2019-4-22-29","DOIUrl":"https://doi.org/10.18384/2310-7251-2019-4-22-29","url":null,"abstract":"The behavior of a degenerate electron plasma under the action of a weak electric field is considered. The linearization of the kinetic equation is performed. Analytical expressions are presented for all input parameters in the linearized kinetic equation. It is shown that the linearized equation describes the response of a plasma to an external electric field.","PeriodicalId":33476,"journal":{"name":"Vestnik moskovskogo gosudarstvennogo oblastnogo universiteta Seriia Fizikamatematika","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"67949144","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2019-01-01DOI: 10.18384/2310-7251-2019-1-6-15
I. Usenov, Mirlan K. Kenzhebaev
Усенов И. А., Кенжебаев М. К. 1 Кыргызский Национальный Университет имени Ж. Баласагына 720033, г. Бишкек, ул. Фрунзе, д. 547, Кыргызстан 2 Кыргызский Экономический Университет имени М. Рыскулбекова 720033, г. Бишкек, ул. Т. Молдо, д. 58, Кыргызстан Аннотация. В Гильбертовом пространстве исследован класс нелинейных операторных уравнений первого рода. Построено приближенное решение, устойчивое относительно исходных данных задачи. Доказана сходимость приближенного решения к точному решению исходного уравнения. Произведён выбор параметра регуляризации от погрешностей. Ключевые слова: уравнение Гаммерштейна, регуляризация, сходимость, уравнение первого рода.
{"title":"REGULARIZATION OF THE SOLUTION TO THE HAMMERSTEIN OPERATOR EQUATION OF THE FIRST KIND WITH AN APPROXIMATELY SPECIFIED OPERATOR","authors":"I. Usenov, Mirlan K. Kenzhebaev","doi":"10.18384/2310-7251-2019-1-6-15","DOIUrl":"https://doi.org/10.18384/2310-7251-2019-1-6-15","url":null,"abstract":"Усенов И. А., Кенжебаев М. К. 1 Кыргызский Национальный Университет имени Ж. Баласагына 720033, г. Бишкек, ул. Фрунзе, д. 547, Кыргызстан 2 Кыргызский Экономический Университет имени М. Рыскулбекова 720033, г. Бишкек, ул. Т. Молдо, д. 58, Кыргызстан Аннотация. В Гильбертовом пространстве исследован класс нелинейных операторных уравнений первого рода. Построено приближенное решение, устойчивое относительно исходных данных задачи. Доказана сходимость приближенного решения к точному решению исходного уравнения. Произведён выбор параметра регуляризации от погрешностей. Ключевые слова: уравнение Гаммерштейна, регуляризация, сходимость, уравнение первого рода.","PeriodicalId":33476,"journal":{"name":"Vestnik moskovskogo gosudarstvennogo oblastnogo universiteta Seriia Fizikamatematika","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"67945954","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2019-01-01DOI: 10.18384/2310-7251-2019-1-83-96
A. Kurilov, N. I. Volosnikova
{"title":"ANISOTROPY OF DIELECTRIC PERMITTIVITY IN 1-(4-HEXYLCYCLOHEXYL)-4-ISOTHIOCYANATOBENZENE","authors":"A. Kurilov, N. I. Volosnikova","doi":"10.18384/2310-7251-2019-1-83-96","DOIUrl":"https://doi.org/10.18384/2310-7251-2019-1-83-96","url":null,"abstract":"","PeriodicalId":33476,"journal":{"name":"Vestnik moskovskogo gosudarstvennogo oblastnogo universiteta Seriia Fizikamatematika","volume":"67 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"67947433","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2019-01-01DOI: 10.18384/2310-7251-2019-2-106-121
A. V. Shabanova, E. Kalashnikov
. Entering of incorrect information in the user–machine dialog may be intentional or unintentional. In any case, it is necessary to ‘train’ the system, which serves the machine, to understand and to recognize errors with the information input and to correct them. Thus, the aim of the work is to develop an algorithm for protection against violations of information input and correction of the final result. For this purpose, existing and traditional algorithms are studied. Their advantages and disadvantages in relation to the task are revealed. In particular, a similar situation with the detection of the input error, its recognition and correction is often observed in the most primitive situations – in calculators translating one number system (NS) to another. This primitiveness, first of all, indicates the fundamental nature of the problem to be solved. Therefore, in the presented work we use the already existing algorithms to discuss and develop the ways to correct the major errors that are found in Online Calculators translating one number system (NS) to another.
{"title":"ALGORITHM OF PROTECTION AGAINST VIOLATIONS OF THE RULES OF INFORMATION INPUT AND CORRECTION OF THE FINAL RESULT","authors":"A. V. Shabanova, E. Kalashnikov","doi":"10.18384/2310-7251-2019-2-106-121","DOIUrl":"https://doi.org/10.18384/2310-7251-2019-2-106-121","url":null,"abstract":". Entering of incorrect information in the user–machine dialog may be intentional or unintentional. In any case, it is necessary to ‘train’ the system, which serves the machine, to understand and to recognize errors with the information input and to correct them. Thus, the aim of the work is to develop an algorithm for protection against violations of information input and correction of the final result. For this purpose, existing and traditional algorithms are studied. Their advantages and disadvantages in relation to the task are revealed. In particular, a similar situation with the detection of the input error, its recognition and correction is often observed in the most primitive situations – in calculators translating one number system (NS) to another. This primitiveness, first of all, indicates the fundamental nature of the problem to be solved. Therefore, in the presented work we use the already existing algorithms to discuss and develop the ways to correct the major errors that are found in Online Calculators translating one number system (NS) to another.","PeriodicalId":33476,"journal":{"name":"Vestnik moskovskogo gosudarstvennogo oblastnogo universiteta Seriia Fizikamatematika","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"67947759","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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