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Izvestiia Sibirskogo otdeleniia sektsii nauk o Zemle Rossiiskoi akademii estestvennykh nauk Geologiia razvedka i razrabotka mestorozhdenii poleznykh iskopaemykh最新文献

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Tensor extensions of Lax equations Lax方程的张量扩展
Izvestiia Sibirskogo otdeleniia sektsii nauk o Zemle Rossiiskoi akademii estestvennykh nauk Geologiia razvedka i razrabotka mestorozhdenii poleznykh iskopaemykh Pub Date : 2023-09-21 DOI: 10.19110/1994-5655-2023-4-5-9
A. Karabanov
{"title":"Tensor extensions of Lax equations","authors":"A. Karabanov","doi":"10.19110/1994-5655-2023-4-5-9","DOIUrl":"https://doi.org/10.19110/1994-5655-2023-4-5-9","url":null,"abstract":"The Lax equations dL/dt = [M,L] play an important role in
 the integrability theory of nonlinear evolution equations and
 quantum dynamics. In this work, tensor extensions of the
 Lax equations are suggested with M : V → V and L :
 Tk(V ) → V , k = 1, 2, . . ., on a complex vector space V .
 These extensions belong to the generalised class of Lax equations
 (introduced earlier by Bordemann) dL/dt = ρk(M)L
 where ρk is a representation of a Lie algebra. The case k = 1,
 ρ1 = ad corresponds to the usual Lax equations. The extended
 Lax pairs are studied from the point of view of isomorphic
 deformations of multilinear structures, conservation
 laws, exterior algebras and cochain symmetries.","PeriodicalId":32542,"journal":{"name":"Izvestiia Sibirskogo otdeleniia sektsii nauk o Zemle Rossiiskoi akademii estestvennykh nauk Geologiia razvedka i razrabotka mestorozhdenii poleznykh iskopaemykh","volume":"75 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136131118","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}
引用次数: 0
Massless Stueckelberg field, exact solutions in Cartesian coordinates and gauge degrees of freedom 无质量的Stueckelberg场，笛卡尔坐标下的精确解和规范自由度
Izvestiia Sibirskogo otdeleniia sektsii nauk o Zemle Rossiiskoi akademii estestvennykh nauk Geologiia razvedka i razrabotka mestorozhdenii poleznykh iskopaemykh Pub Date : 2023-09-21 DOI: 10.19110/1994-5655-2023-4-63-68
O. Semenyuk, A. Ivashkevich, A. Buryy, V. Pletyuhov, V. Red'kov
{"title":"Massless Stueckelberg field, exact solutions in Cartesian coordinates and gauge degrees of freedom","authors":"O. Semenyuk, A. Ivashkevich, A. Buryy, V. Pletyuhov, V. Red'kov","doi":"10.19110/1994-5655-2023-4-63-68","DOIUrl":"https://doi.org/10.19110/1994-5655-2023-4-63-68","url":null,"abstract":"In the paper we examine the massless Stueckelberg field. Among the eleven field function components, the antisymmetric tensor represents the gauge variables, whereas the scalar and vector correspond to physically observable quantities. It is shown that in Cartesian coordinates the Stueckelberg equations permit the existence of five independent solutions which describe the different states of the field. We have derived an expression for the energy-momentum tensor of the massless Stueckelberg field. We find its explicit form for arbitrary linear combination of five established solutions. We have found four combinations of five solutions which do not contribute to energy-momentum tensor, therefore they correspond to purely gauge states. There exists only one solution which corresponds to nonvanishing energy-momentum tensor, it relates to physically observable states of the massless Stueckelberg field.","PeriodicalId":32542,"journal":{"name":"Izvestiia Sibirskogo otdeleniia sektsii nauk o Zemle Rossiiskoi akademii estestvennykh nauk Geologiia razvedka i razrabotka mestorozhdenii poleznykh iskopaemykh","volume":"339 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136130381","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}
引用次数: 0
On the influence of unilateral bonds on the stability and oscillations of elastic rings 单侧键对弹性环稳定性和振动的影响
Izvestiia Sibirskogo otdeleniia sektsii nauk o Zemle Rossiiskoi akademii estestvennykh nauk Geologiia razvedka i razrabotka mestorozhdenii poleznykh iskopaemykh Pub Date : 2023-09-21 DOI: 10.19110/1994-5655-2023-4-23-29
V. Andryukova
{"title":"On the influence of unilateral bonds on the stability and oscillations of elastic rings","authors":"V. Andryukova","doi":"10.19110/1994-5655-2023-4-23-29","DOIUrl":"https://doi.org/10.19110/1994-5655-2023-4-23-29","url":null,"abstract":"The paper deals with the issues of stability of a circular ring
 compressed by uniformly distributed central forces in the
 presence of one-sided restrictions on displacements. In the
 second part of the article, the problem of oscillations of a ring
 supported by single-acting threads is solved. The problems
 are reduced to solving some variational problem under restrictions
 on the desired functions in the form of linear equations
 and inequalities","PeriodicalId":32542,"journal":{"name":"Izvestiia Sibirskogo otdeleniia sektsii nauk o Zemle Rossiiskoi akademii estestvennykh nauk Geologiia razvedka i razrabotka mestorozhdenii poleznykh iskopaemykh","volume":"78 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136130385","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}
引用次数: 0
Bragg’s reflections of a multilayer grating 多层光栅的布拉格反射
Izvestiia Sibirskogo otdeleniia sektsii nauk o Zemle Rossiiskoi akademii estestvennykh nauk Geologiia razvedka i razrabotka mestorozhdenii poleznykh iskopaemykh Pub Date : 2023-09-21 DOI: 10.19110/1994-5655-2023-4-91-95
A. Karpov
{"title":"Bragg’s reflections of a multilayer grating","authors":"A. Karpov","doi":"10.19110/1994-5655-2023-4-91-95","DOIUrl":"https://doi.org/10.19110/1994-5655-2023-4-91-95","url":null,"abstract":"The reciprocal space of multilayer grating in the non-coplanar
 geometry of diffraction is investigated. Direct and inverse relations
 between the angles of wave vectors and coordinates of
 reciprocal space are written out. The Bragg’s and diffraction
 reflection angles are written. By example, cones of diffraction
 and reciprocal space mapping are demonstrated.","PeriodicalId":32542,"journal":{"name":"Izvestiia Sibirskogo otdeleniia sektsii nauk o Zemle Rossiiskoi akademii estestvennykh nauk Geologiia razvedka i razrabotka mestorozhdenii poleznykh iskopaemykh","volume":"18 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136130389","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}
引用次数: 0
On classical and quantum mechanical problem of two material points in three-dimensional Lobachevsky space 三维罗巴切夫斯基空间中两个质点的经典和量子力学问题
Izvestiia Sibirskogo otdeleniia sektsii nauk o Zemle Rossiiskoi akademii estestvennykh nauk Geologiia razvedka i razrabotka mestorozhdenii poleznykh iskopaemykh Pub Date : 2023-09-21 DOI: 10.19110/1994-5655-2023-4-57-62
Yu. Kurochkin, N. Shaykovskaya,, D. Shelkovyy
{"title":"On classical and quantum mechanical problem of two material points in three-dimensional Lobachevsky space","authors":"Yu. Kurochkin, N. Shaykovskaya,, D. Shelkovyy","doi":"10.19110/1994-5655-2023-4-57-62","DOIUrl":"https://doi.org/10.19110/1994-5655-2023-4-57-62","url":null,"abstract":"The classical and quantum problems of motion of two particles
 in a three-dimensional Lobachevsky space is formulated
 with respect to center of mass with arbitrary position. The
 Hamilton-Jacobi and Schrödinger equations of the problem
 are formulated and their solutions are found. It is shown that
 the reduced mass of the system depends on the relative distance.
 The classical and quantum problems of a rigid rotator
 in three-dimensional sphere and Lobachevsky space are formulated
 and solved. The dependences of the oscillation periods
 of the rotator on the ratio of the masses of the particles
 forming it are studied for a fixed total mass in the cases of
 spaces of constant curvature.","PeriodicalId":32542,"journal":{"name":"Izvestiia Sibirskogo otdeleniia sektsii nauk o Zemle Rossiiskoi akademii estestvennykh nauk Geologiia razvedka i razrabotka mestorozhdenii poleznykh iskopaemykh","volume":"16 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136130115","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}
引用次数: 0
Standard Model in the early Universe 早期宇宙的标准模型
Izvestiia Sibirskogo otdeleniia sektsii nauk o Zemle Rossiiskoi akademii estestvennykh nauk Geologiia razvedka i razrabotka mestorozhdenii poleznykh iskopaemykh Pub Date : 2023-09-21 DOI: 10.19110/1994-5655-2023-4-36-48
N. Gromov
{"title":"Standard Model in the early Universe","authors":"N. Gromov","doi":"10.19110/1994-5655-2023-4-36-48","DOIUrl":"https://doi.org/10.19110/1994-5655-2023-4-36-48","url":null,"abstract":"A new hypothesis is put forward that the gauge group of the
 Standard Model becomes simpler with increasing temperature
 of the Universe, i.e. when moving back in time to the moment
 of its occurrence. It is assumed that this simplification
 is achieved by contracting the gauge group with the contraction
 parameter, which decreases with increasing temperature.
 In this case, the Lagrangian of the Standard Model is
 divided into terms that differ in powers of the contraction parameter.
 This makes it possible to arrange in time the stages
 of development of the Standard Model as the Universe cools.
 The evolution of the properties of elementary particles and
 their interactions, starting from the Planck scale of 1019 GeV,
 is based on the explicit form of intermediate Lagrangians and
 explain the development of the Universe from simpler to more
 complicated structures - and not vice versa. The contraction
 hypothesis of the gauge group of the Standard Model contradicts
 the available experimental data on the Higgs boson production
 cross section.","PeriodicalId":32542,"journal":{"name":"Izvestiia Sibirskogo otdeleniia sektsii nauk o Zemle Rossiiskoi akademii estestvennykh nauk Geologiia razvedka i razrabotka mestorozhdenii poleznykh iskopaemykh","volume":"65 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136130114","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}
引用次数: 0
Influence of a transversal load on the stability of a rod compressed by a longitudinal force 横向载荷对受纵向力压缩的杆的稳定性的影响
Izvestiia Sibirskogo otdeleniia sektsii nauk o Zemle Rossiiskoi akademii estestvennykh nauk Geologiia razvedka i razrabotka mestorozhdenii poleznykh iskopaemykh Pub Date : 2023-09-21 DOI: 10.19110/1994-5655-2023-4-18-22
V. Tarasov
{"title":"Influence of a transversal load on the stability of a rod compressed by a longitudinal force","authors":"V. Tarasov","doi":"10.19110/1994-5655-2023-4-18-22","DOIUrl":"https://doi.org/10.19110/1994-5655-2023-4-18-22","url":null,"abstract":"The work is devoted to the study of the effect of normal load
 on the stability of a rod compressed by a longitudinal force.
 Two types of boundary conditions are considered: the boundary
 conditions of rigid sealing and the conditions of hinge support.
 It is noted that in the case of the boundary conditions of
 the hinge bearing, the shape of the elastic line of the rod qualitatively
 depends on the magnitude of the longitudinal force.","PeriodicalId":32542,"journal":{"name":"Izvestiia Sibirskogo otdeleniia sektsii nauk o Zemle Rossiiskoi akademii estestvennykh nauk Geologiia razvedka i razrabotka mestorozhdenii poleznykh iskopaemykh","volume":"63 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136130388","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}
引用次数: 0
Massless Stueckelberg particle, solutions with cylindric symmetry 无质量的Stueckelberg粒子，具有柱对称的解
Izvestiia Sibirskogo otdeleniia sektsii nauk o Zemle Rossiiskoi akademii estestvennykh nauk Geologiia razvedka i razrabotka mestorozhdenii poleznykh iskopaemykh Pub Date : 2023-09-21 DOI: 10.19110/1994-5655-2023-4-69-76
O. Semenyuk, V. Pletyuhov, A. Buryy, A. Ivashkevich, V. Red'kov
{"title":"Massless Stueckelberg particle, solutions with cylindric symmetry","authors":"O. Semenyuk, V. Pletyuhov, A. Buryy, A. Ivashkevich, V. Red'kov","doi":"10.19110/1994-5655-2023-4-69-76","DOIUrl":"https://doi.org/10.19110/1994-5655-2023-4-69-76","url":null,"abstract":"The massless Stueckelberg field is studied in cylindrical coordinates.
 The field function consists of the scalar, 4-vector,
 and antisymmetric tensor. Physically observable components
 are the scalar and 4-vector. We apply the Stueckelberg
 tetrad-based matrix equation, generalized to arbitrary Riemannian
 space, including any curvilinear coordinates in the
 Minkowski space. We construct solutions with cylindric symmetry,
 while the operators of energy, of the third projection
 of the total angular momentum, and the third projection of
 the linear momentum are diagonalized. After separating the
 variables we derive the system of 11 first-order differential
 equations in polar coordinate. It is solved with the use of the
 Fedorov–Gronskiy method. According to this method, all 11
 functions are expressed through 3 main funcions. According
 to the known procedure we impose the differential constraints,
 which are consistent with the all 11 equations and
 allow us to transform these equations to algebraic form. This
 algebraic system is solved by standard methods. As a result,
 we obtain 5 linearly independent solutions. The problem of
 eliminating the gauge solutions will be studied in a separate
 paper.","PeriodicalId":32542,"journal":{"name":"Izvestiia Sibirskogo otdeleniia sektsii nauk o Zemle Rossiiskoi akademii estestvennykh nauk Geologiia razvedka i razrabotka mestorozhdenii poleznykh iskopaemykh","volume":"26 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136130390","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}
引用次数: 0
Optimal ℓ1-robust tracking for autoregressive plant with unknown nominal model 具有未知标称模型的自回归对象的最优1-鲁棒跟踪
Izvestiia Sibirskogo otdeleniia sektsii nauk o Zemle Rossiiskoi akademii estestvennykh nauk Geologiia razvedka i razrabotka mestorozhdenii poleznykh iskopaemykh Pub Date : 2023-09-21 DOI: 10.19110/1994-5655-2023-4-10-17
V. Sokolov
{"title":"Optimal ℓ1-robust tracking for autoregressive plant with unknown nominal model","authors":"V. Sokolov","doi":"10.19110/1994-5655-2023-4-10-17","DOIUrl":"https://doi.org/10.19110/1994-5655-2023-4-10-17","url":null,"abstract":"This paper addresses the problem of adaptive optimal robust
 tracking for a discrete-time plant with unknown parameters
 of autoregressive nominal model and unknown bias of
 bounded external disturbance. Upper bounds of unbiased external
 disturbance and gains of uncertainties in output and
 control are assumed to be know. The optimal tracking problem
 is to minimize the guaranteed worst-case steady-state
 upper bound of the tracking error for a given bounded reference
 signal. Solution of the problem is based on optimal
 set-membership estimation of unknown non-identifiable parameters
 and treating the control criterion as the identification
 criterion. Optimal on-line set-membership estimation
 becomes computationally tractable due to a linear-fractional
 representation of the control criterion.","PeriodicalId":32542,"journal":{"name":"Izvestiia Sibirskogo otdeleniia sektsii nauk o Zemle Rossiiskoi akademii estestvennykh nauk Geologiia razvedka i razrabotka mestorozhdenii poleznykh iskopaemykh","volume":"34 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136130986","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}
引用次数: 0
Dynamical theory of X-ray diffraction in crystals based on two-dimensional recurrent relations 基于二维循环关系的晶体x射线衍射动力学理论
Izvestiia Sibirskogo otdeleniia sektsii nauk o Zemle Rossiiskoi akademii estestvennykh nauk Geologiia razvedka i razrabotka mestorozhdenii poleznykh iskopaemykh Pub Date : 2023-09-21 DOI: 10.19110/1994-5655-2023-4-88-90
S. Kolosov, V. Punegov
{"title":"Dynamical theory of X-ray diffraction in crystals based on two-dimensional recurrent relations","authors":"S. Kolosov, V. Punegov","doi":"10.19110/1994-5655-2023-4-88-90","DOIUrl":"https://doi.org/10.19110/1994-5655-2023-4-88-90","url":null,"abstract":"Using two-dimensional recurrence relations, a description of
 dynamical X-ray diffraction in crystals is presented. It is
 shown that this approach makes it possible to calculate Xray
 fields inside the crystal and reciprocal space maps.","PeriodicalId":32542,"journal":{"name":"Izvestiia Sibirskogo otdeleniia sektsii nauk o Zemle Rossiiskoi akademii estestvennykh nauk Geologiia razvedka i razrabotka mestorozhdenii poleznykh iskopaemykh","volume":"44 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136130386","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}
引用次数: 0
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