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Journal of Applied Mathematics and Physics 2019年第11期7卷 2818-2835页

作者： A.Adomou Jonas Edou siaka massou Department of Theoretical Physics and Mathematics University of Abomey-CalaviAbomey-CalaviBenin National Superior Institute of Industrial Technology INSTI-LokossaNational University of SciencesTechnologyEngineering and Mathematics of AbomeyAbomeyBenin

The present research work is considered as part II of the previous work entitled [Plane Symmetric Solutions to the Nonlinear Spinor Field Equations in General Relativity Theory, jmp, 2019, 10, 1222-1234]. Here, we opt for the static spherical symmetric metric. In this metric, we have obtained spherical symmetric soliton-like solutions to the spinor field equations with nonlinear terms, which are arbitrary functions of , taking into account the proper gravitational field of elementary particles. Equations with power and polynomial nonlinearities are investigated in detail. It is shown that the initial set of the Einstein and spinor field equations with a power-law nonlinearity possess regular solutions with a localized energy density of the spinor field only if we consider massless particle without losing the generality (m = 0). In this case, a soliton-like configuration has negative energy. In order to define the role of the nonlinearity and the own gravitational field of the elementary particles in this model, we have obtained exact static symmetric solutions to the above spinor field equations in the linear case by considering Dirac’s equations and in flat space-time. It is proved that soliton-like solutions are absent in the linear case. But in flat space-time soliton-like configurations exist and have positive total energy.

关键词： Lagrangian Spherical Symmetric Metric Soliton-Like Solution

Plane Symmetric Solutions to the Nonlinear Spinor Field Equations in General Relativity Theory

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Journal of Modern Physics 2019年第10期10卷 1222-1234页

作者： A. Adomou Jonas Edou siaka massou Department of Theoretical Physics and Mathematics University of Abomey-Calavi Abomey-Calavi Benin National Superior Institute of Industrial Technology INSTI-Lokossa National University of Sciences Technology Engineer-ing and Mathematics of Abomey Abomey Benin

We have obtained exact static plane-symmetric solutions to the spinor field equations with nonlinear terms which are arbitrary functions of invariant , taking into account their own gravitational field. It is shown that the initial set of the Einstein and spinor field equations with a power-law nonlinearity have regular solutions with a localized energy density of the spinor field only if m=0 (m is the mass parameter in the spinor field equations). Equations with power and polynomial nonlinearities are studied in detail. In this case, a soliton-like configuration has negative energy. We have also obtained exact static plane-symmetric solutions to the above spinor field equations in flat space-time. It is proved that in this case soliton-like solutions are absent.

关键词： Lagrangian Static Plane-Symmetric Metric Field Equations Energy-Momentum Tensor Charge Density Current Vector Soliton-Like Solution

Spherical Symmetric Solitons of Interacting Spinor, Scalar and Gravitational Fields in General Relativity

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Journal of High Energy Physics, Gravitation and Cosmology 2021年第1期7卷 52-65页

作者： Jonas Edou Alain Adomou siaka massou Department of Theoretical Physics and Mathematics Laboratory of Physics Mathematics and Theoretical Physics University of Abomey-Calavi Abomey-Calavi Benin National Higher Institute of Industrial Technology INSTI-Lokossa National University of Sciences Technology Engineering and Mathematics of Abomey Abomey Benin

The concept of soliton as regular localized stable solutions of nonlinear differential equations is being widely utilized in pure science for various aims. In present analysis, the soliton concept is used as a model in order to describe the configurations of elementary particles in general relativity. To this end, our study deals with the spherical symmetric solitons of interacting Spinor, Scalar and Gravitational Fields in General Relativity. Thus, exact spherical symmetric general solutions to the interaction of spinor, scalar and gravitational field equations have been obtained. The Einstein equations have been transformed into a Liouville equation type and solved. Let us emphasize that these solutions are regular with localized energy density and finite total energy. In addition, the total charge and spin are limited. Moreover, the obtained solutions are soliton-like solutions. These solutions can be used in order to describe the configurations of elementary particles.

关键词： Liouville Type Equation Elementary Particles Einstein’s Equations Metric Functions

Analytical Soliton-Like Solutions to Nonlinear Dirac Equation of Spinor Field in Spherical Symmetric Metric

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Journal of High Energy Physics, Gravitation and Cosmology 2020年第4期6卷 623-639页

作者： Jonas Edou Valerie I. S. Hontinfinde A. Adomou siaka massou Department of Theoretical Physics and Mathematics Laboratory of Physics Mathematics and Theoretical Physics University of Abomey-Calavi Abomey-Calavi Benin National Higher School of Mathematical Engineering and Modeling National University of Sciences Technology Engineering and Mathematics of Abomey Abomey Benin National Higher Institute of Industrial Technology INSTI-Lokossa National University of Sciences Technology Engineering and Mathematics of Abomey Abomey Benin

The present research work deals with an extension of a previous work entitled [Exact Soliton-like spherical symmetric solutions of the Heisenberg-Ivanenko type nonlinear spinor field equation in gravitational theory, Journal of Applied Mathematics and Physics, 2020, 8, 1236-1254] to Analytical Soliton-Like Solutions to Nonlinear Dirac Equation of Spinor Field in Spherical Symmetric Metric. The nonlinear terms in the Lagrangian density are functions of the invariant . Equations with power and polynomial nonlinearities are thoroughly scrutinized. It is shown that soliton is responsible for the deformation in the metric and hence in the geometry as well as gravitational field. The role of nonlinearity and the influence of the proper gravitational field of the elementary particles are also examined. The consideration of the nonlinear terms in the spinor Lagrangian, the own gravitational field of elementary particles and the geometrical properties of the metric are necessary and sufficient conditions in order to obtain soliton-like solutions with total charge and total spin in general relativity.

关键词： Lagrangian Gravitationnal Field Flat Space-Time

Exact Soliton-Like Spherical Symmetric Solutions of the Heisenberg-Ivanenko Type Nonlinear Spinor Field Equation in Gravitational Theory

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Journal of Applied Mathematics and Physics 2020年第7期8卷 1236-1254页

作者： A. Adomou Jonas Edou Valerie I. S. Hontinfinde siaka massou Department of Theoretical Physics and Mathematics Laboratory of Physics Mathematics and Theoretical Physics University of Abomey-Calavi Abomey-Calavi Benin National Higher Institute of Industrial Technology INSTI-Lokossa National University of Sciences Technology Engineering and Mathematics of Abomey Abomey Benin

In the present research work, we have obtained the exact spherical symmetric solutions of Heisenberg-Ivanenko nonlinear spinor field equations in the Gravitational Theory. The nonlinearity in the spinor Lagrangian is given by an arbitrary function which depends on the invariant generated from the bilinear spinor form Is = S2. We admit the static spherical symmetric metric. It is shown that a soliton-like configuration has a localized energy density and a finite total energy. In addition, The total charge and total spin are also finite. Role of the metric i.e. the proper gravitational field of elementary particles in the formation of the field configurations with limited total energy, spin and charge has been examined by solving the field equations in flat space-time. It has been established that the obtained solutions are soliton-like configuration with bounded energy density and finite total energy. In order to clarify the role of the nonlinearity in this model, we have obtained exact statical symmetric solutions to the above spinor field equations in the linear case corresponding to Dirac’s linear equation. It is proved that soliton-like solutions are absent.

关键词： Lagrangian Spherical Symmetric Metric Soliton-Like Solution Flat Space-Time

Exact Static Plane Symmetric Soliton-Like Solutions to the Nonlinear Interacting Electromagnetic and Scalar Field Equations in General Relativity

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Journal of High Energy Physics, Gravitation and Cosmology 2022年第1期8卷 164-177页

作者： Arnaud Edouard Yamadjako Alain Adomou Yélomè J. F. Kpomahou Jonas Edou siaka massou Department of Physics University of Abomey-Calavi Abomey-Calavi Benin Department of Industrial and Technical Sciences ENSET-Lokossa UNSTIM-Abomey Abomey Benin National Higher Institute of Industrial Technology National University of Sciences Technologies Engineering and Mathematics of Abomey UNSTIM Abomey Benin

This research work is related to soliton solutions considered as models that can describe the complex configuration of elementary particles from the study of the interactions of their fields. It is interested in the interaction of fields between two different elementary particles by expressing their physical properties. For that, we have obtained, exact static plane symmetric soliton-like solutions to the nonlinear equations of interacting electromagnetic and scalar fields taking into account the own gravitational field of elementary particles using the calibrated invariance function P(I). It has been proved that all solutions of the Einstein, nonlinear electromagnetic and scalar field equations are regular with the localized energy density. Moreover, the total charge of particles is finite and the total energy of the interaction fields is bounded. It have been emphasized the importance to the own gravitational field of elementary particles and the role of the nonlinearity of fields in the determination of these solutions. In flat space-time, soliton-like solutions exist but the total energy of the interaction fields is equal to zero. We have also shown that in the linear case, soliton-like solutions are absent.

关键词： Scalar Electromagnetic Gravitational Fields Interaction’s Description of Elementary Particles

Soliton-Like Spherical Symmetric Solutions to the Electromagnetic and Scalar Nonlinear Induction Field Equations in the General Relativity Theory

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Journal of High Energy Physics, Gravitation and Cosmology 2022年第1期8卷 147-163页

作者： Arnaud E. Yamadjako Alain Adomou Yélomè J. F. Kpomahou Jonas Edou siaka massou Department of Physics University of Abomey-Calavi Abomey-Calavi Benin Department of Industrial and Technical Sciences ENSET-Lokossa UNSTIM Abomey Benin 3National Higher Institute of Industrial Technology National University of Sciences Technologies Engineering and Mathematics of Abomey UNSTIM Abomey Benin

In this paper, we have used the static spherical symmetric metric. The parameter of the nonlinearity fields is included in the arbitrary function characterizing the interaction between the electromagnetic and scalar fields. Taking into account the own gravitational field of elementary particles, we have obtained exact static spherical symmetric solutions to the electromagnetic and scalar field equations of nonlinear induction. Considering all forms of the solution of Liouville equation, we proved that the metric functions are regular with localized energy density. Moreover, the total energy of the nonlinear induction fields is bounded and the total charge of the elementary particles has a finite value (soliton-like). In the flat space-time, soliton-like solutions exist.

关键词： Interaction Scalar Electromagnetic Gravitational Fields Description Configuration Elementary Particles

Effect of the Variable B-Field on the Dynamic of a Central Electron Spin Coupled to an Anti-Ferromagnetic Qubit Bath

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World Journal of Condensed Matter Physics 2012年第4期2卷 246-256页

作者： Martin Tchoffo Georges Collince Fouokeng siaka massou Ngwa Engelbert Afuoti Issofa Nsangou Lukong Cornelius Fai Alex Ghislain Tchouadeu Jean-Pierre Kenné De- partment of Physics Faculty of Sciences and Technics University of Abomey-Calavi Cotonou Benin Department of Mechanical Engineering Laboratory of Integrated Production Technologies University of Québec Québec Canada Department of Physics Laboratory of Mesoscopic and Multilayer Structures University of Dschang Dschang Cameroon Department of Physics Laboratory of Mesoscopic and Multilayer Structures University of Dschang Dschang Cameroon Department of Thermal Engineering and Energetics Douala University Institute of Technology Douala Cameroun

This present issue is an extension of the work of Y. Xiao-Zhong et al. who investigated the influence of constant external magnetic field on the decoherence of a central electron spin of atom coupled to an anti-ferromagnetic environment. We have shown in this work that the character variability of the field induces oscillations amongst the eigen modes of the environment. This observation is made via the derivation of the transition probability density of state, a manner by which critical parameters (parameters where transition occur) of the system could be obtained as it shows resonance peak. We equally observed that the two different magnons modes resulting from the frequency splitting via the application of the time-varying external B-Field, exhibit each a resonant peak of similar amplitude at different temperature ranges. This additional information shows that the probability for the central spin system to remain in its initially prepared diabatic state is enhanced for some temperature ranges for the corresponding two magnon modes. Hence, these temperature ranges where the probability density is maximum could save as decoherence free environment;an important requirement for the implementation of quantum computation and information processing in solid state circuitry. The theoretical and numerical results presented for the decoherence time and the probability density are that of a decohered central electron spin coupled to an anti-ferromagnetic spin bath. The theory is based on a spin wave approximation and on the density matrix using both transformations of Bloch, Primakov and Bogoliobuv in the adiabatic limit.

关键词： Decoherence Spin Wave Anti-Ferromagnetic Environment Central Spin Variable B-Field

Pollutants in stormwater runoff in Shanghai (China): Implications for management of urban runoff pollution

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Progress in Natural Science:Materials International 2009年第7期19卷 873-880页

作者： siaka Ballo School of Resources and Environmental Sciences Key Laboratory of Geographical Information of the Ministry of Education East China Normal University

Runoff samples were collected from four functional areas (traffic, residential, commercial and industrial) and four roof types (old concrete, new concrete, old clay and new clay) in central Shanghai, China, during rain events. The event mean concentrations (EMCs) of three forms of nitrogen eNH4tAN;NO3 AN;NO2 ANT and the temporal variations of total phosphorus (TP) were then measured to evaluate the effects of runoff from different areas on water quality management. The results revealed that the TP levels varied significantly in the samples collected from different functional areas and roof types during rain events. In addition, although the NO3 AN and NO2 AN concentrations in runoff remained well below the fifth class values of the national surface water quality standards, the NH4tAN levels were 1.36, 1.17, 1.10 and 0.85 times higher than the standard value in samples collected from commercial, traffic, industrial, and residential areas, respectively. Similarly, the concentrations of NH4tAN in samples collected from old concrete, new concrete, old clay and new clay roofs exceeded the fifth class standard by 6.66, 5.72, 4.32 and 3.32 times, respectively. And the NO3 AN levels were 1.86 and 1.53 times higher than the standard values in runoff samples collected from new and old concrete roofs, respectively.

关键词： Urban stormwater Pollution Management implications Central Shanghai

Investigations into Some Simple Expressions of the Gamma Function in Wind Power Theoretical Estimate by the Weibull Distribution

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Journal of Applied Mathematics and Physics 2019年第12期7卷 2990-3002页

作者： siaka Touré Solar Energy Laboratory FHB University Abidjan Cocody Abidjan C&#244 te d’Ivoire

The Weibull distribution is a probability density function (PDF) which is widely used in the study of meteorological data. The statistical analysis of the wind speed v by using the Weibull distribution leads to the estimate of the mean wind speed , the variance of v around and the mean power density in the wind. The gamma function Γ is involved in those calculations, particularly Γ (1+1/k), Γ (1+2/k) and Γ (1+3/k). The paper reports the use of the Weibull PDF f(v) to estimate the gamma function. The study was performed by looking for the wind speeds related to the maximum values of f(v), v2 f(v) and v3 f(v). As a result, some approximate relationships were obtained for Γ (1+1/k), Γ (1+2/k) and Γ (1+3/k), that use some fitting polynomial functions. Very good agreements were found between the exact and the estimated values of Γ (1+n/k) that can be used for the estimation of the mean wind speed , the variance σ2 of the wind speed v;around the mean speed and the average wind power density.

关键词： Gamma Function Weibull Distribution Beta Function Mean Wind Speed Average Wind Power Density