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Particular superintegrability of 3-body (modified) Newtonian gravity 三体(修正)牛顿引力的特殊超可积性
arXiv: Classical Physics Pub Date : 2019-10-25 DOI: 10.1142/s0217732320501850
A. Turbiner, J. Vieyra
{"title":"Particular superintegrability of 3-body (modified) Newtonian gravity","authors":"A. Turbiner, J. Vieyra","doi":"10.1142/s0217732320501850","DOIUrl":"https://doi.org/10.1142/s0217732320501850","url":null,"abstract":"It is found explicitly 5 Liouville integrals in addition to total angular momentum which Poisson commute with Hamiltonian of 3 body Newtonian Gravity in ${bf R^3}$ along the Remarkable Figure-8-shape trajectory discovered by Moore-Chenciner-Montgomery. It is shown they become constants of motion along this trajectory. Hence, 3-body choreographic motion on Figure-8-shape trajectory in three-dimensional Newtonian gravity (Moore, 1993), as well as in two-dimensional modified Newtonian gravity by Fujiwara et al, 2003, is maximally superintegrable. It is conjectured that any 3 body potential theory which admit Figure-8-shape choreographic motion is superintegrable along the trajectory.","PeriodicalId":331413,"journal":{"name":"arXiv: Classical Physics","volume":"22 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-10-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134274974","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: 3
Electromagnetic Energy Balance Equations and Poynting Theorem 电磁能量平衡方程和波印廷定理
arXiv: Classical Physics Pub Date : 2019-10-06 DOI: 10.36227/TECHRXIV.12555698.V1
G. Xiao
{"title":"Electromagnetic Energy Balance Equations and Poynting Theorem","authors":"G. Xiao","doi":"10.36227/TECHRXIV.12555698.V1","DOIUrl":"https://doi.org/10.36227/TECHRXIV.12555698.V1","url":null,"abstract":"Poynting\u0000theorem plays a very important role in analyzing electromagnetic phenomena. The\u0000electromagnetic power flux density is usually expressed with the Poynting vector.\u0000However, since Poynting theorem basically focuses on the power balance in a\u0000system, it is not so convenient in some situations to use it for evaluating the\u0000electromagnetic energies. The energy balance issue for time varying fields is\u0000revisited in this paper, and a set of energy balance equations are introduced,\u0000and a modified method for evaluating power flux is proposed.","PeriodicalId":331413,"journal":{"name":"arXiv: Classical Physics","volume":"6 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-10-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"117022780","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: 3
Free space transmission lines in receiving antenna operation 接收天线运行时传输线的空闲空间
arXiv: Classical Physics Pub Date : 2019-09-24 DOI: 10.31224/osf.io/2qxpe
R. Ianconescu, V. Vulfin
{"title":"Free space transmission lines in receiving antenna operation","authors":"R. Ianconescu, V. Vulfin","doi":"10.31224/osf.io/2qxpe","DOIUrl":"https://doi.org/10.31224/osf.io/2qxpe","url":null,"abstract":"This work derives exact expressions for the voltage and current induced into a two conductors non isolated transmission lines by an incident plane wave. The methodology is to use the transmission line radiating properties to derive scattering matrices and make use of reciprocity to derive the response to the incident wave. The analysis is in the frequency domain and it considers transmission lines of any small electric cross section, incident by a plane wave from any incident direction and any polarisation. The analytic results are validated by successful comparison with ANSYS commercial software simulation results, and compatible with other published results.","PeriodicalId":331413,"journal":{"name":"arXiv: Classical Physics","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-09-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129453778","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
The Reactive and Radiation Electromagnetic Energies of Antennas: A New Formulation 天线的无功和辐射电磁能量:一个新的公式
arXiv: Classical Physics Pub Date : 2019-09-22 DOI: 10.36227/TECHRXIV.12555662.V1
G. Xiao
{"title":"The Reactive and Radiation Electromagnetic Energies of Antennas: A New Formulation","authors":"G. Xiao","doi":"10.36227/TECHRXIV.12555662.V1","DOIUrl":"https://doi.org/10.36227/TECHRXIV.12555662.V1","url":null,"abstract":"It is\u0000required to calculate the stored reactive energy of an antenna in\u0000order to evaluate its Q factor. Although it has been investigated for a long\u0000time, some issues still need further clarification. The main difficulty\u0000involved is that the reactive energy of an antenna tends to become infinitely\u0000large when integrating the conventionally defined energy density in the whole\u0000space outside a small sphere containing the antenna. The reactive energy is\u0000usually made to be bounded by subtracting an additional term associated with\u0000the radiation fields. However, there exists no well-accepted accurate\u0000definition for this additional term that is valid for all cases. By re-checking\u0000the definition of reactive energies, a new formulation is proposed in this\u0000paper which can separate the reactive energy and the radiation energy\u0000explicitly based on source-potentials. The clearly defined reactive energy is\u0000bounded without necessity to subtract that additional term, and the resultant formulae\u0000are easy to implement.","PeriodicalId":331413,"journal":{"name":"arXiv: Classical Physics","volume":"320 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-09-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122987574","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: 11
Dual solutions Schrödinger type for Poisson equation in Dielectric and Magnetic linear media 介电和磁性线性介质中泊松方程的对偶解Schrödinger型
arXiv: Classical Physics Pub Date : 2019-07-10 DOI: 10.46571/JCI.2020.1.14
R. Rubiano, Jonathan Tapia, Hernando González
{"title":"Dual solutions Schrödinger type for Poisson equation in Dielectric and Magnetic linear media","authors":"R. Rubiano, Jonathan Tapia, Hernando González","doi":"10.46571/JCI.2020.1.14","DOIUrl":"https://doi.org/10.46571/JCI.2020.1.14","url":null,"abstract":"Solutions are obtained for the dual form of the Schrodinger equation got from the transformation of Poisson equation for the vector and the scalar potential, in dielectric and magnetic materials, having into account homogeneous isotropic linear mechanisms. We study and apply these dual equation solutions in some specific potentials.","PeriodicalId":331413,"journal":{"name":"arXiv: Classical Physics","volume":"44 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-07-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128044723","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: 1
Physics-informed transfer path analysis with parameter estimation using Gaussian processes 使用高斯过程参数估计的物理信息传递路径分析
arXiv: Classical Physics Pub Date : 2019-05-20 DOI: 10.18154/RWTH-CONV-238988
C. Albert
{"title":"Physics-informed transfer path analysis with parameter estimation using Gaussian processes","authors":"C. Albert","doi":"10.18154/RWTH-CONV-238988","DOIUrl":"https://doi.org/10.18154/RWTH-CONV-238988","url":null,"abstract":"Gaussian processes regression is applied to augment experimental data of transfer-path analysis (TPA) by known information about the underlying physical properties of the system under investigation. The approach can be used as an alternative to model updating and is also applicable if no detailed simulation model of the system exists. For vibro-acoustic systems at least three features are known. Firstly, observable quantities fulfill a wave equation or a Helmholtz-like equation in the frequency domain. Secondly, the relation between pressure/stress and displacement/velocity/acceleration are known via constitutive relations involving mass density and elastic constants of the material. The latter also determine the propagation speed of waves. Thirdly, the geometry of the system is often known up to a certain accuracy. Here it is demonstrated that taking into account this information can potentially enhance TPA results and quantify their uncertainties at the same time. In particular this is the case for noisy measurement data and if material parameters and source distributions are (partly) unknown. Due to the probabilistic nature of the procedure unknown parameters can be estimated, making the method also applicable to material characterization as an inverse problem.","PeriodicalId":331413,"journal":{"name":"arXiv: Classical Physics","volume":"150 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-05-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123228588","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: 4
Four-dimensional reflection groups and electrostatics 四维反射群和静电学
arXiv: Classical Physics Pub Date : 2019-04-04 DOI: 10.1016/J.AOP.2020.168291
M. Olshanii, Yuri Styrkas, D. Yampolsky, V. Dunjko, S. Jackson
{"title":"Four-dimensional reflection groups and electrostatics","authors":"M. Olshanii, Yuri Styrkas, D. Yampolsky, V. Dunjko, S. Jackson","doi":"10.1016/J.AOP.2020.168291","DOIUrl":"https://doi.org/10.1016/J.AOP.2020.168291","url":null,"abstract":"","PeriodicalId":331413,"journal":{"name":"arXiv: Classical Physics","volume":"51 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-04-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115299855","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 deformations of classical mechanics due to Planck-scale physics 普朗克尺度物理引起的经典力学变形
arXiv: Classical Physics Pub Date : 2019-02-26 DOI: 10.1142/S0218271820500704
O. Chashchina, A. Sen, Z. Silagadze
{"title":"On deformations of classical mechanics due to Planck-scale physics","authors":"O. Chashchina, A. Sen, Z. Silagadze","doi":"10.1142/S0218271820500704","DOIUrl":"https://doi.org/10.1142/S0218271820500704","url":null,"abstract":"Several quantum gravity and string theory thought experiments indicate that the Heisenberg uncertainty relations get modified at the Planck scale so that a minimal length do arises. This modification may imply a modification of the canonical commutation relations and hence quantum mechanics at the Planck scale. The corresponding modification of classical mechanics is usually considered by replacing modified quantum commutators by Poisson brackets suitably modified in such a way that they retain their main properties (antisymmetry, linearity, Leibniz rule and Jacobi identity). We indicate that there exists an alternative interesting possibility. Koopman-Von Neumann's Hilbert space formulation of classical mechanics allows, as Sudarshan remarked, to consider the classical mechanics as a hidden variable quantum system. Then the Planck scale modification of this quantum system naturally induces the corresponding modification of dynamics in the classical substrate. Interestingly, it seems this induced modification in fact destroys the classicality: classical position and momentum operators cease to be commuting and hidden variables do appear in their evolution equations.","PeriodicalId":331413,"journal":{"name":"arXiv: Classical Physics","volume":"12 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-02-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121131930","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: 13
Dynamics of 1-D Electron Motion under a Periodic Electric Field with Radiation Reaction Effect 具有辐射反应效应的周期性电场下一维电子运动动力学
arXiv: Classical Physics Pub Date : 2019-02-16 DOI: 10.4236/jamp.2020.85063
G. L'opez, Jorge A. Lizarraga
{"title":"Dynamics of 1-D Electron Motion under a Periodic Electric Field with Radiation Reaction Effect","authors":"G. L'opez, Jorge A. Lizarraga","doi":"10.4236/jamp.2020.85063","DOIUrl":"https://doi.org/10.4236/jamp.2020.85063","url":null,"abstract":"We consider the 1-D motion of an electron under a periodic force and taking into account the effect of radiation reaction dissipation force on its motion, using the formulation of the radiation reaction force as a function of the external force. Two cases are considered: a simple sinusoidal time depending force, and sinusoidal electromagnetic force with position and time dependence. We found that the difference of the normalized (with respect the speed of light) velocities, with and without radiation reaction, are quite small between $10^{-31}$ to $10^{-14}$ for intensities on the electric field of $10^{-8}$ to 1 $Dynes/ues$, which may represent some concern to measure experimentally.","PeriodicalId":331413,"journal":{"name":"arXiv: Classical Physics","volume":"87 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-02-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"117103470","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
Slow-dissipation limit of the harmonic oscillator with general power-law damping 具有一般幂律阻尼的谐振子的慢耗散极限
arXiv: Classical Physics Pub Date : 2018-11-07 DOI: 10.1119/10.0001794
Jarrett L. Lancaster
{"title":"Slow-dissipation limit of the harmonic oscillator with general power-law damping","authors":"Jarrett L. Lancaster","doi":"10.1119/10.0001794","DOIUrl":"https://doi.org/10.1119/10.0001794","url":null,"abstract":"An approximate solution is presented for simple harmonic motion in the presence of damping by a force which is a general power-law function of the velocity. The approximation is shown to be quite robust, allowing for a simple way to investigate amplitude decay in the presence of general types of weak, nonlinear damping.","PeriodicalId":331413,"journal":{"name":"arXiv: Classical Physics","volume":"327 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-11-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133008810","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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