Pub Date : 2019-09-01DOI: 10.22606/NHMP.2019.33001
K. Kirakosyan
{"title":"On the Unified Description of the Motion of Physical Bodies","authors":"K. Kirakosyan","doi":"10.22606/NHMP.2019.33001","DOIUrl":"https://doi.org/10.22606/NHMP.2019.33001","url":null,"abstract":"","PeriodicalId":355259,"journal":{"name":"New Horizons in Mathematical Physics","volume":"4 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121823134","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 : 2019-06-01DOI: 10.22606/NHMP.2019.32002
Zhongcheng Liang, Nanjing China Telecommunications
{"title":"Cluster Ensemble Statistics of Body Particle System","authors":"Zhongcheng Liang, Nanjing China Telecommunications","doi":"10.22606/NHMP.2019.32002","DOIUrl":"https://doi.org/10.22606/NHMP.2019.32002","url":null,"abstract":"","PeriodicalId":355259,"journal":{"name":"New Horizons in Mathematical Physics","volume":"21 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122254309","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 : 2019-06-01DOI: 10.22606/NHMP.2019.32003
Minghui Wang, Lingling Yue
Split Quaternionic least squares (SQLS) problem is one method of solving overdetermined sets of quaternion linear equations AX = E that is appropriate when there is error in the matrix E. In this paper, by means of real representation of split quaternion matrices, we derive an iterative method for finding the minimum-norm solution of the SQLS problems in split quaternionic mechanics.
{"title":"Iterative Methods for Least Squares Problem in Split Quaternionic Mechanics","authors":"Minghui Wang, Lingling Yue","doi":"10.22606/NHMP.2019.32003","DOIUrl":"https://doi.org/10.22606/NHMP.2019.32003","url":null,"abstract":"Split Quaternionic least squares (SQLS) problem is one method of solving overdetermined sets of quaternion linear equations AX = E that is appropriate when there is error in the matrix E. In this paper, by means of real representation of split quaternion matrices, we derive an iterative method for finding the minimum-norm solution of the SQLS problems in split quaternionic mechanics.","PeriodicalId":355259,"journal":{"name":"New Horizons in Mathematical Physics","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130537730","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 : 2019-06-01DOI: 10.22606/NHMP.2019.32001
S. Simonenko
The article presents the subsequent development of the established thermohydrogravidynamic theory (intended for deterministic prediction of the temporal intensifications of the global and regional seismotectonic, volcanic and climatic activity of the Earth) based on the author’s generalized differential formulation of the first law of thermodynamics extending the classical Gibbs’ formulation by taking into account (along with the classical infinitesimal change of heat Q and the classical infinitesimal change of the internal thermal energy dU) the established differential energy gravitational influence dG (due to the cosmic and terrestrial non-stationary gravitation) on the continuum region along with the established differential increment dK of the macroscopic kinetic energy, the established differential increment d of the gravitational potential energy and the established generalized expression for the differential work Anp, done by the non-potential terrestrial stress forces (determined by the symmetric stress tensor T) acting on the boundary surface of the individual finite continuum region subjected to the non-stationary Newtonian gravitation. Taking into account the combined solar and planetary integral energy gravitational influence of the internal rigid core c,r of the Earth 3 during the considered range (2004 ÷ 2026) AD, the author presents (on May 30, 2018) the foundation (based on the established and confirmed global prediction thermohydrogravidynamic principles determining the strongest temporal intensifications of the global and regional seismotectonic, volcanic and climatic activity of the Earth) of the established first forthcoming subrange (2020 ÷ 2026) AD of the increased intensification of the global seismotectonic, volcanic, climatic and magnetic activity of the Earth related with the maximal (near t*(c,r, 2021)=2021.1 AD)) and the minimal (near t*(c,r, 2021)=2021.65 AD)) combined cosmic (planetary and solar) integral energy gravitational influences on the internal rigid core of the Earth.
{"title":"The Thermohydrogravidynamic Theory Concerning the First Forthcoming Subrange 2020 ÷ 2026 AD of the Increased Intensification of the Earth","authors":"S. Simonenko","doi":"10.22606/NHMP.2019.32001","DOIUrl":"https://doi.org/10.22606/NHMP.2019.32001","url":null,"abstract":"The article presents the subsequent development of the established thermohydrogravidynamic theory (intended for deterministic prediction of the temporal intensifications of the global and regional seismotectonic, volcanic and climatic activity of the Earth) based on the author’s generalized differential formulation of the first law of thermodynamics extending the classical Gibbs’ formulation by taking into account (along with the classical infinitesimal change of heat Q and the classical infinitesimal change of the internal thermal energy dU) the established differential energy gravitational influence dG (due to the cosmic and terrestrial non-stationary gravitation) on the continuum region along with the established differential increment dK of the macroscopic kinetic energy, the established differential increment d of the gravitational potential energy and the established generalized expression for the differential work Anp, done by the non-potential terrestrial stress forces (determined by the symmetric stress tensor T) acting on the boundary surface of the individual finite continuum region subjected to the non-stationary Newtonian gravitation. Taking into account the combined solar and planetary integral energy gravitational influence of the internal rigid core c,r of the Earth 3 during the considered range (2004 ÷ 2026) AD, the author presents (on May 30, 2018) the foundation (based on the established and confirmed global prediction thermohydrogravidynamic principles determining the strongest temporal intensifications of the global and regional seismotectonic, volcanic and climatic activity of the Earth) of the established first forthcoming subrange (2020 ÷ 2026) AD of the increased intensification of the global seismotectonic, volcanic, climatic and magnetic activity of the Earth related with the maximal (near t*(c,r, 2021)=2021.1 AD)) and the minimal (near t*(c,r, 2021)=2021.65 AD)) combined cosmic (planetary and solar) integral energy gravitational influences on the internal rigid core of the Earth.","PeriodicalId":355259,"journal":{"name":"New Horizons in Mathematical Physics","volume":"34 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114703661","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 : 2019-03-05DOI: 10.22606/NHMP.2019.31001
T. Adachi, Amane Kiyose
In this paper, for N ≥ 2, we give a natural derivation of the Avron-Herbst type formula for the time evolution generated by an N -body Hamiltonian with constant electric and magnetic fields. By virtue of the formula, some scattering problems can be reduced to those in the case where the constant electric and magnetic fields are parallel to each other. As an application of the formula, we give the result of the asymptotic completeness for the systems which have the only charged particle and some neutral ones in crossed constant electric and magnetic fields.
{"title":"Remarks on the Avron-Herbst Type Formula for N-body Quantum Systems in Constant Electric and Magnetic Fields","authors":"T. Adachi, Amane Kiyose","doi":"10.22606/NHMP.2019.31001","DOIUrl":"https://doi.org/10.22606/NHMP.2019.31001","url":null,"abstract":"In this paper, for N ≥ 2, we give a natural derivation of the Avron-Herbst type formula for the time evolution generated by an N -body Hamiltonian with constant electric and magnetic fields. By virtue of the formula, some scattering problems can be reduced to those in the case where the constant electric and magnetic fields are parallel to each other. As an application of the formula, we give the result of the asymptotic completeness for the systems which have the only charged particle and some neutral ones in crossed constant electric and magnetic fields.","PeriodicalId":355259,"journal":{"name":"New Horizons in Mathematical Physics","volume":"28 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-03-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125969208","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 : 2018-12-01DOI: 10.22606/nhmp.2018.24001
P. Gaillard
We give different representations of the solutions of the Johnson equation with parameters. First, an expression in terms of Fredholm determinants is given; we give also a representation of the solutions written as a quotient of wronskians of order 2N . These solutions of order N depend on 2N − 1 parameters. When one of these parameters tends to zero, we obtain N order rational solutions expressed as a quotient of two polynomials of degree 2N(N + 1) in x, t and 4N(N + 1) in y depending on 2N − 2 parameters. Here, we explicitly construct the expressions of the rational solutions of order 5 depending on 8 real parameters and we study the patterns of their modulus in the plane (x, y) and their evolution according to time and parameters ai and bi for 1 ≤ i ≤ 4.
{"title":"Families of Solutions of Order 5 to the Johnson Equation Depending on 8 Parameters","authors":"P. Gaillard","doi":"10.22606/nhmp.2018.24001","DOIUrl":"https://doi.org/10.22606/nhmp.2018.24001","url":null,"abstract":"We give different representations of the solutions of the Johnson equation with parameters. First, an expression in terms of Fredholm determinants is given; we give also a representation of the solutions written as a quotient of wronskians of order 2N . These solutions of order N depend on 2N − 1 parameters. When one of these parameters tends to zero, we obtain N order rational solutions expressed as a quotient of two polynomials of degree 2N(N + 1) in x, t and 4N(N + 1) in y depending on 2N − 2 parameters. Here, we explicitly construct the expressions of the rational solutions of order 5 depending on 8 real parameters and we study the patterns of their modulus in the plane (x, y) and their evolution according to time and parameters ai and bi for 1 ≤ i ≤ 4.","PeriodicalId":355259,"journal":{"name":"New Horizons in Mathematical Physics","volume":"39 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127257977","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 : 2018-11-17DOI: 10.22606/nhmp.2018.24002
P. Kuhfittig
It is shown in this note that a noncommutative-geometry background determines the modified-gravity function $f(R)$ for modeling dark matter.
本文指出，非交换几何背景决定了暗物质模型的修正重力函数f(R)。
{"title":"Connecting Noncommutative Geometry to f(R) Modified Gravity","authors":"P. Kuhfittig","doi":"10.22606/nhmp.2018.24002","DOIUrl":"https://doi.org/10.22606/nhmp.2018.24002","url":null,"abstract":"It is shown in this note that a noncommutative-geometry background determines the modified-gravity function $f(R)$ for modeling dark matter.","PeriodicalId":355259,"journal":{"name":"New Horizons in Mathematical Physics","volume":"2005 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-11-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127629973","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}
The antisymmetrical laminated cylindrical shell is a multilayer composite structure composed of single-layer fiber reinforced composites bonded by fiber-opposing layer, and it is a kind of advanced composite structure with the characteristics of bistable which is not possessed by general shell structure. In this paper, based on the two-point loading method in the experimental study, taking T700/TDE-85 antisymmetrical laminated cylindrical shells as an example, the steady-state transition model of antisymmetrical laminated cylindrical shells is established by using ABAQUS finite element software and the numerical calculation is carried out. The bistable transformation process of antisymmetric laminated cylindrical shells is simulated. The influence of ply number on the bistable behavior of the laminated structure is studied by changing the number of layers of the opposing called laminated cylindrical shells. The results show that the critical load of steady-state transition and the second steady-state residual stress increase with the increase of layer number of laminated shells, but the second steady-state crimp radius is almost unchanged.
{"title":"Study on Bistable Behavior of Antisymmetric Laminated Cylindrical Shells with Different Ply Numbers","authors":"Linlin Shen, Xiaodong Pan, Jingbo Zhou, Longcheng Xing, Yu Zhang","doi":"10.22606/NHMP.2018.23002","DOIUrl":"https://doi.org/10.22606/NHMP.2018.23002","url":null,"abstract":"The antisymmetrical laminated cylindrical shell is a multilayer composite structure composed of single-layer fiber reinforced composites bonded by fiber-opposing layer, and it is a kind of advanced composite structure with the characteristics of bistable which is not possessed by general shell structure. In this paper, based on the two-point loading method in the experimental study, taking T700/TDE-85 antisymmetrical laminated cylindrical shells as an example, the steady-state transition model of antisymmetrical laminated cylindrical shells is established by using ABAQUS finite element software and the numerical calculation is carried out. The bistable transformation process of antisymmetric laminated cylindrical shells is simulated. The influence of ply number on the bistable behavior of the laminated structure is studied by changing the number of layers of the opposing called laminated cylindrical shells. The results show that the critical load of steady-state transition and the second steady-state residual stress increase with the increase of layer number of laminated shells, but the second steady-state crimp radius is almost unchanged.","PeriodicalId":355259,"journal":{"name":"New Horizons in Mathematical Physics","volume":"54 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132454515","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 : 2018-09-01DOI: 10.22606/NHMP.2018.23001
S. Ram, Surendra K. Singh, M. K. Verma
Einstein’s field equations in f(R, T ) gravity theory in the presence of quark and strange quark matter are considered for a plane symmetric space-time. We have obtained exact solutions of the field equations by assuming a special form of Hubble parameter that yield a time-varying deceleration parameter. The physical behaviors of the cosmological model are discussed.
{"title":"Anisotropic Cosmological Model with Quark and Strange Quark Matter in f(R, T ) Gravity Theory","authors":"S. Ram, Surendra K. Singh, M. K. Verma","doi":"10.22606/NHMP.2018.23001","DOIUrl":"https://doi.org/10.22606/NHMP.2018.23001","url":null,"abstract":"Einstein’s field equations in f(R, T ) gravity theory in the presence of quark and strange quark matter are considered for a plane symmetric space-time. We have obtained exact solutions of the field equations by assuming a special form of Hubble parameter that yield a time-varying deceleration parameter. The physical behaviors of the cosmological model are discussed.","PeriodicalId":355259,"journal":{"name":"New Horizons in Mathematical Physics","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128861845","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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