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Fermion propagator diagonalization and eigenvalue problem

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arXiv 2021年

作者： Dolzhikov, D.A. Kaloshin, A.E. Lomov, Vladimir P. Joint Institute for Nuclear Research Dubna141980 Russia Irkutsk State University Irkutsk664003 Russia Institute for System Dynamics and Control Theory RAS Irkutsk664033 Russia

We discuss diagonalization of propagator for mixing fermions system based on the eigenvalue problem. The similarity transformation converting matrix propagator into diagonal form is obtained. The suggested diagonalization has simple algebraic properties for on-shell fermions and can be used in renormalization of fermion mixing matrix. Copyright © 2021, The Authors. All rights reserved.

关键词： Mixing

Table Header Correction Algorithm Based on Heuristics for Improving Spreadsheet Data Extraction 26th

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Table Header Correction Algorithm Based on Heuristics for Im...

26th International Conference on Information and Software Technologies, ICIST 2020

作者： Paramonov, Viacheslav Shigarov, Alexey Vetrova, Varvara Matrosov Institute for System Dynamics and Control Theory of Siberian Branch Russian Academy of Sciences Irkutsk Russia Institute of Mathematics and Information Technologies Irkutsk State University Irkutsk Russia School of Mathematics and Statistics University of Canterbury Christchurch New Zealand

ISBN: (纸本)9783030595050

A spreadsheet is one of the most commonly used forms of representation for datasets of similar type. Spreadsheets provide considerable flexibility for data structure organisation. As a result of this flexibility, tables with very complex data structures could be created. In turn, such complexity makes automatic table processing and data extraction a challenging task. Therefore, table preproccessing step is often required in the data extraction pipeline. This paper proposes a heuristic algorithm for the correction of a table header in a spreadsheet. The aim of the proposed algorithm is to transform a machine-readable structure of the table header into its visual representation. The algorithm achieves this aim by iterating through table header cells and merging some of them according to proposed heuristics. The transformed structure, in turn, allows to improve quality of spreadsheet understanding and data extraction further in the pipeline. The proposed algorithm was implemented in the TabbyXL toolset. © 2020, Springer Nature Switzerland AG.

关键词： Extraction

Path integral representation for inverse third order wave operator within the Duffin-Kemmer-Petiau formalism.I

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arXiv 2020年

作者： Markov, Yu.A. Markova, M.A. Bondarenko, A.I. Matrosov Institute for System Dynamics and Control Theory SB RAS Irkutsk Russia Department of Physics Tomsk State University Tomsk Russia

Within the framework of the Duffin-Kemmer-Petiau (DKP) formalism with a deformation, an approach to the construction of the path integral representation in parasuperspace for the Green’s function of a spin-1 massive particle in external Maxwell’s field is developed. For this purpose a connection between the deformed DKP-algebra and an extended system of the parafermion trilinear commutation relations for the creation and annihilation operators a±k and an additional operator a0 obeying para-Fermi statistics of order 2 based on the Lie algebra so(2M + 2) is established. On the strength of this connection an appropriate system of the parafermion coherent states as functions of para-Grassmann numbers is introduced. The procedure of the construction of finite-multiplicity approximation for determination of the path integral in the relevant phase space is defined through insertion in the kernel of the evolution operator with respect to para-supertime of resolutions of the identity. The representation for the operator a0 in terms of generators of the orthogonal group SO(2M) correctly reproducing action of this operator on the state vectors of Fock space is obtained. A connection of the Geyer operator a20 with the operator of so-called G-parity and with the CP T -operator η5 of the DKP-theory is established. In the basis of parafermion coherent states a matrix element of the contribution linear in covariant derivative Dµ to the time-dependent Hamilton operator Ĥ(τ), is calculated in an explicit form. For this purpose the matrix elements of the operators a0, a20, the commutators [a0, a±n ], [a20, a±n ], and the product Â[a0, a±n ], where Â ≡ exp（−i23π a0) were preliminary defined. Copyright © 2020, The Authors. All rights reserved.

关键词： Quantum theory

Path integral representation for inverse third order wave operator within the Duffin-Kemmer-Petiau ***

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arXiv 2020年

作者： Markov, Yu A. Markova, M.A. Matrosov Institute for System Dynamics and Control Theory SB RAS Irkutsk Russia Department of Physics Tomsk State University Tomsk Russia

This paper is an immediate continuation of the first part of our paper [1]. Here, in a para-Grassmann algebra we introduce a noncommutative, associative star product ∗ (the Moyal product), which is a direct generalization of the star product in the algebra of Grassmann numbers. Isomorphism between the algebra of para-Grassmann numbers of order 2 equipped with the star product and with the algebra of creation and annihilation operators a±n obeying the para-Fermi statistics of the same order is established. Two independent approaches to the calculation of the Moyal product ∗ are considered. It is shown that in calculating the matrix elements in the basis of parafermion coherent states of various expressions it should be taken into account constantly that we work in the so-called Ohnuki and Kamefuchi’s generalized state-vector space U G, whose state vectors include para-Grassmann numbers ξk in their definition, instead of the standard state-vector space U (the Fock space). Otherwise, the wide array of contradictions arises. An immediate consequence of using the extended state-vector space U G is a necessity to consider the quadratic Casimir operators Ĉ2 and Ĉ2′ of the orthogonal groups SO(2M) and SO(2M + 1), correspondingly. The action rules of the Casimir operators on the state vectors, an explicit form of their matrix elements are defined and a more general connection between the Harish-Chandra operator ŵ2 and the Geyer operator a20 is obtained. The notions of the triple star product, the star exponent and the Moyal bracket are introduced. It is shown that the use of the notions of the star product ∗ and the generalized state-vector space U G allows one to make a form of the matrix element of the contribution into the generalized Hamilton operator H, which is linear in the covariant derivative Dµ, more compact and visual. Copyright © 2020, The Authors. All rights reserved.

关键词： Vector spaces

The modeling of technological processes of a railway marshalling yard using any logic

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AIP Conference Proceedings 2023年第1期2624卷

作者： A. V. Dudakova N. Y. Goncharova A. L. Kazakov R. S. Bolshakov Irkutsk State Transport University Irkutsk Russia Matrosov Institute for System Dynamics and Control Theory Siberian Branch of the Russian Academy of Sciences Irkutsk Russia

This article is aimed at solving an urgent problem for modern transport science – development of tools to support the modeling of railway transport objects. Since railway transport belongs to the category of so-called “complex systems”, the analytical approach is of little use for carrying out system analysis using methods of mathematical modeling, and it is necessary to use the simulation modeling methods. During the analysis of the subject area and the known approaches used for simulation modeling of complex technical systems, it was found that, firstly, the most convenient in this case is the method of agent-based modeling; secondly, AnyLogic that has a well-developed railway library is the most suitable as a modeling environment. The railway marshalling yard is considered as an object of modeling. The main technological processes are built in the form of blocks of the AnyLogic railway library. The simulation process of the model is visualized and presented in 3D. The offered method is suitable for describing a wide range of systems for freight and passenger transport that is expected to be implemented in the future.

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Feedback maximum principle for ensemble control of local continuity equations. An application to supervised machine learning

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arXiv 2021年

作者： Staritsyn, Maxim Pogodaev, Nikolay Chertovskih, Roman Pereira, Fernando Lobo Faculdade de Engenharia Universidade do Porto Rua Dr. Roberto Frias s/n Porto4200-465 Portugal Matrosov Institute for System Dynamics and Control Theory of SB RAS 134 Lermontov st. Irkutsk664033 Russia

We consider an optimal control problem for a system of local continuity equations on a space of probability measures. Such systems can be viewed as macroscopic models of ensembles of non-interacting particles or homotypic individuals, representing several different "populations". For the stated problem, we propose a necessary optimality condition, which involves feedback controls inherent to the extremal structure, designed via the standard Pontryagin's Maximum Principle conditions. This optimality condition admits a realization as an iterative algorithm for optimal control. As a motivating case, we discuss an application of the derived optimality condition and the consequent numeric method to a problem of supervised machine learning via dynamic systems. Copyright © 2021, The Authors. All rights reserved.

关键词： Maximum principle

Formation of true muonium in the Drell-Yan dimuon production

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arXiv 2025年

作者： Gninenko, Sergei N. Kuleshov, Sergey Lyubovitskij, Valery E. Zhevlakov, Alexey S. Institute for Nuclear Research The Russian Academy of Sciences Moscow117312 Russia of ANID Fernández Concha 700 Santiago Chile Center for Theoretical and Experimental Particle Physics Facultad de Ciencias Exactas Universidad Andres Bello Fernandez Concha 700 Santiago Chile Institut für Theoretische Physik Universität Tübingen Kepler Center for Astro and Particle Physics Auf der Morgenstelle 14 TübingenD-72076 Germany Bogoliubov Laboratory of Theoretical Physics JINR Dubna Russia Matrosov Institute for System Dynamics and Control Theory SB RAS Lermontov str. 134 Irkutsk664033 Russia

We suggest a new mechanism for the formation of true muonium (TM), the QED (µ+µ−) bound state, due to the Coulomb interaction of muons from µ+µ− pairs generated in the Drell-Yan reaction of protons off nuclei of a thin foil target. The TM atoms produced in the 3S1 long-lived triplet state (oTM) could escape from the foil to vacuum followed by their decay into e+e− pairs. Observation of e+e− events with a displaced vertex, and an invariant mass and decay time consistent with the mass and lifetime of the oTM is used as a signature of the discovery of TM. We present estimates of the TM yield and briefly discuss an experiment which could lead to such a discovery. © 2025, CC BY.

关键词： Coulomb interactions

Service-oriented Information and Analytical system of Estimation of Influence of the Lithosphere Model on Dynamic Parameters of Rocky Soil Oscillations from Earthquakes of Southern Baikal Region 5

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Service-oriented Information and Analytical System of Estima...

5th International Conference Information Technologies in Earth Sciences and Applications for Geology, Mining and Economy, ITES and MP 2019

作者： Klyuchevskii, Anatoliy V. Ruzhnikov, Gennadiy M. Paramonov, Vyacheslav V. Mikhailov, Andrey A. Fedorov, Roman K. Dem’yanovich, Vladimir M. Demberel, S. Institute of the Earth’s Crust SB RAS Irkutsk Russia Matrosov Institute for System Dynamics and Control Theory Irkutsk Scientific Center SB RAS Irkutsk Russia Institute of Astronomy and Geophysics Mongolian Academy Ulaanbaatar Mongolia

The region of Southern Baikal belongs to the territories with high seismic activity. However, the issues of complex assessment of the influence of the lithosphere model on the dynamic parameters of the rock ground vibrations from earthquakes are insufficiently studied. It should be taken into account that the research is based on monitoring, storage and processing of large amounts of distributed Spatio-temporal data. To assess the impact of the lithosphere model on the dynamic parameters of rock ground vibrations from earthquakes in the region of Southern Baikal, a service-oriented information-analytical system (IAS) of geoportal type is developed. It allows integrate heterogeneous thematic databases and by using services to resolve challenges of modelling, comparison and assessment of dangerous geological processes occurring in the region. Copyright © 2019 for this paper by its authors. Use permitted under Creative Commons License Attribution 4.0 International (CC BY 4.0).

关键词： Earthquakes

Digital platform for forest resources monitoring in the BAIKAL natural territory

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Journal of Physics: Conference Series 2021年第1期1864卷

作者： I V Bychkov G M Ruzhnikov R K Fedorov A K Popova Matrosov Institute for System Dynamics and Control Theory SB RAS Irkutsk Russia

Forest is the most important natural resource of the Baikal natural territory (BNT), which ensures sustainable development of the ecological system of the Lake Baikal, performing water protection, soil protection and water regulation functions. The article describes the issues of transition to a new technological order - the creation of a digital monitoring platform to support the rational use of forests. We formulate characteristics of the current state of forests and analyze the problems of forest resources monitoring in the BNT. We consider the types of digital platforms of different levels and propose basic requirements for forest digital monitoring.

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