We investigate a few models with various physical elements that could lead to the appearance of celestial bodies with different curvature systems within the background of f(R,G) gravity, where R represents Ricci scalar and G stands for the Gauss-Bonnet curvatures. After formulating f(R,G) field equations in the setting of anisotropic fluid configuration, along with specific metric coefficients, the observational data of Her X-1, 4U1820-30, VeLAX-1, SAXJ1808.4-3068, CenX-3 and PSRJ16142230 are used. Three different gravity models are used to analyze their impact on mathematical modeling. Several physical factors have been illuminated, including energy density, pressure evolutions, energy conditions, stability analysis, the measurement equation of state parameters, matter content, etc. To access the substance of our model, we observed a number of physical factors, and it was discovered that our system does not contain any singularities.
{"title":"Stellar Anisotropic Cluster in f(R,G) Gravity","authors":"M. Ajmal, M. Z. Bhatti","doi":"10.1139/cjp-2023-0102","DOIUrl":"https://doi.org/10.1139/cjp-2023-0102","url":null,"abstract":"We investigate a few models with various physical elements that could lead to the appearance of celestial bodies with different curvature systems within the background of f(R,G) gravity, where R represents Ricci scalar and G stands for the Gauss-Bonnet curvatures. After formulating f(R,G) field equations in the setting of anisotropic fluid configuration, along with specific metric coefficients, the observational data of Her X-1, 4U1820-30, VeLAX-1, SAXJ1808.4-3068, CenX-3 and PSRJ16142230 are used. Three different gravity models are used to analyze their impact on mathematical modeling. Several physical factors have been illuminated, including energy density, pressure evolutions, energy conditions, stability analysis, the measurement equation of state parameters, matter content, etc. To access the substance of our model, we observed a number of physical factors, and it was discovered that our system does not contain any singularities.","PeriodicalId":9413,"journal":{"name":"Canadian Journal of Physics","volume":"13 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2023-07-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75499114","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
We use simple spectral perturbation theory to show that the positive partial transpose property is stable under bounded perturbations of the Hamiltonian, for equilibrium states in infinite dimensions. The result holds provided the temperature is high enough, or equivalently, provided the perturbation is small enough.
{"title":"Stability of PPT in equilibrium states","authors":"M. Merkli, Mitch Zagrodnik","doi":"10.1139/cjp-2023-0086","DOIUrl":"https://doi.org/10.1139/cjp-2023-0086","url":null,"abstract":"We use simple spectral perturbation theory to show that the positive partial transpose property is stable under bounded perturbations of the Hamiltonian, for equilibrium states in infinite dimensions. The result holds provided the temperature is high enough, or equivalently, provided the perturbation is small enough.","PeriodicalId":9413,"journal":{"name":"Canadian Journal of Physics","volume":"30 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2023-07-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83088727","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
In this work we extend the analysis of the relativistic Dirac-Rosen-Morse problem in curved space-time. For that, we consider the Dirac equation in curved space-time with line element ds2 = (1+α2 U(r))2(dt2- dr2) - r2dθ2-r2sin2θ dΦ2, where α2 is fine structural constant, U(r) is an scalar potential and in the presence of the electromagnetic field Aμ = (V(r),cA(r),0,0). Because of the spherical symmetry, the angular spinor is given in terms of the spherical harmonics. For the radial spinor, we applying a unitary transformation and defining the vector component of the electromagnetic field A(r) written as a function of V(r) and U(r), so solve the radial spinor for Dirac-Rosen-Morse problem. Graphical analyzes were performed comparing the eigenenergies and the probability densities in curved and flat space-time in order to visualize the influence of curvature in space-time on the two-component radial spinor, with the upper and lower components representing the particle and antiparticle, respectively.
{"title":"Exact solution of Dirac-Rosen-Morse problem in curved space-time","authors":"M. D. de Oliveira","doi":"10.1139/cjp-2023-0146","DOIUrl":"https://doi.org/10.1139/cjp-2023-0146","url":null,"abstract":"In this work we extend the analysis of the relativistic Dirac-Rosen-Morse problem in curved space-time. For that, we consider the Dirac equation in curved space-time with line element ds<sup>2</sup> = (1+α<sup>2</sup> U(r))<sup>2</sup>(dt<sup>2</sup>- dr<sup>2</sup>) - r<sup>2</sup>dθ<sup>2</sup>-r<sup>2</sup>sin<sup>2</sup>θ dΦ<sup>2</sup>, where α<sup>2</sup> is fine structural constant, U(r) is an scalar potential and in the presence of the electromagnetic field A<sub>μ</sub> = (V(r),cA(r),0,0). Because of the spherical symmetry, the angular spinor is given in terms of the spherical harmonics. For the radial spinor, we applying a unitary transformation and defining the vector component of the electromagnetic field A(r) written as a function of V(r) and U(r), so solve the radial spinor for Dirac-Rosen-Morse problem. Graphical analyzes were performed comparing the eigenenergies and the probability densities in curved and flat space-time in order to visualize the influence of curvature in space-time on the two-component radial spinor, with the upper and lower components representing the particle and antiparticle, respectively.","PeriodicalId":9413,"journal":{"name":"Canadian Journal of Physics","volume":"14 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2023-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89416903","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Kaneez Fatima, M. Rafique, A. M. Soomro, Mahesh Kumar
This study uses DFT (Density Functional Theory) technique to examine the H2 storage on Li-decorated h-BN monolayer. The results of DFT proven that Li doped h-BN system can hold up to 9H2 with the adsorption energy lie in between -0.31eV to -0.24eV/H2 at ambient condition However, the calculated average adsorption energy for 9H2 is-0.240eV/H2 with hydrogen storage capacity of 5.96 wt. %, which is according to the United States Department of Energy (USDOE). Partial Density of State (PDOS) computed for each configuration to provide additional justifications for the H2 storage on Li-doped h-BN monolayer. The hybridization shows a significant interaction between hydrogen molecules (H2) and Li atom, and most of their hybrid peaks was observed in the energy range from -7.5 eV to -1 eV. Moreover, the H2 desorption simulations achieved via the ab initio molecular dynamics (MD). The computed desorption temperature TD is 306 °K which is a suitable operating temperature. Hence our research demonstrates that Li-doped h-BN is a thermally stable and viable hydrogen storage material for hydrogen storage systems.
本研究采用密度泛函理论(DFT)技术研究了锂修饰的氢氮化硼单层上的氢存储。DFT结果证明，Li掺杂h-BN体系在环境条件下可吸附9H2，吸附能在-0.31eV ~ -0.24eV/H2之间，而根据美国能源部(USDOE)的计算，9H2的平均吸附能为0.240 ev /H2，储氢容量为5.96 wt. %。计算了每种构型的偏态密度(PDOS)，为掺杂锂的h-BN单层上的H2存储提供了额外的理由。结果表明，氢分子(H2)与Li原子之间存在明显的相互作用，其杂化峰主要分布在-7.5 eV ~ -1 eV的能量范围内。此外，通过从头算分子动力学(MD)模拟了H2的解吸过程。计算的解吸温度TD为306°K，是一个合适的操作温度。因此，我们的研究表明，锂掺杂的h-BN是一种热稳定的、可行的储氢材料。
{"title":"Tailoring Hydrogen Adsorption and Desorption Properties of Li doped SV Monolayer h-BN Systems using Ab-Initio Calculations","authors":"Kaneez Fatima, M. Rafique, A. M. Soomro, Mahesh Kumar","doi":"10.1139/cjp-2023-0072","DOIUrl":"https://doi.org/10.1139/cjp-2023-0072","url":null,"abstract":"This study uses DFT (Density Functional Theory) technique to examine the H2 storage on Li-decorated h-BN monolayer. The results of DFT proven that Li doped h-BN system can hold up to 9H2 with the adsorption energy lie in between -0.31eV to -0.24eV/H2 at ambient condition However, the calculated average adsorption energy for 9H2 is-0.240eV/H2 with hydrogen storage capacity of 5.96 wt. %, which is according to the United States Department of Energy (USDOE). Partial Density of State (PDOS) computed for each configuration to provide additional justifications for the H2 storage on Li-doped h-BN monolayer. The hybridization shows a significant interaction between hydrogen molecules (H2) and Li atom, and most of their hybrid peaks was observed in the energy range from -7.5 eV to -1 eV. Moreover, the H2 desorption simulations achieved via the ab initio molecular dynamics (MD). The computed desorption temperature TD is 306 °K which is a suitable operating temperature. Hence our research demonstrates that Li-doped h-BN is a thermally stable and viable hydrogen storage material for hydrogen storage systems.","PeriodicalId":9413,"journal":{"name":"Canadian Journal of Physics","volume":"61 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2023-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83821205","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
We study Linde's chaotic inflation in Rastall gravity with a homogeneous scalar field. In Einstein's general theory of relativity (GR) Linde obtained chaotic scenario which emerged from chaotic distribution of scalar field satisfying a limiting value of the initial scalar field phi_o > 3 M_P which lies in the quantum gravity. The upper limit on the initial scalar field is obtained for a sufficient inflation to encompass the present universe. In the Rastall gravity the upper limit is reduced depending on the Rastall parameter gamma <1. The upper limit on phi_o is found to increases for 1
{"title":"Chaotic Inflationary Universe in Rastall Gravity","authors":"Priyanka Mandal, B. C. Paul","doi":"10.1139/cjp-2023-0114","DOIUrl":"https://doi.org/10.1139/cjp-2023-0114","url":null,"abstract":"We study Linde's chaotic inflation in Rastall gravity with a homogeneous scalar field. In Einstein's general theory of relativity (GR) Linde obtained chaotic scenario which emerged from chaotic distribution of scalar field satisfying a limiting value of the initial scalar field phi_o > 3 M_P which lies in the quantum gravity. The upper limit on the initial scalar field is obtained for a sufficient inflation to encompass the present universe. In the Rastall gravity the upper limit is reduced depending on the Rastall parameter gamma <1. The upper limit on phi_o is found to increases for 1<gamma <frac{3}{2}. In the later case sufficient inflation is not permitted and the role of curvaton field is explored for an acceptable early chaotic inflation.","PeriodicalId":9413,"journal":{"name":"Canadian Journal of Physics","volume":"11 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2023-06-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82651250","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
In this paper, we consider a one-loop thermal correction to the g-factors of the ground and low-lying excited states in atomic systems with one valence s electron. As an example, we carried out calculations for Rb and Cs atoms, where optical measurements of transition frequencies set the metrological level of accuracy. With the development of atomic systems as the most accurate tool for spectroscopic experiments, it has become increasingly important to improve the accuracy of measuring the electron g-factor, which is currently at ~10^{-12}. The rapid progress in this field in recent years requires analysis not only of various relativistic, QED and other effects, but also theoretical studies of phenomena stimulated by the external thermal environment. We can expect that the thermal contribution to the g-factor calculated in our work may be of interest in the near future.
{"title":"Thermal contribution to measured g-factors in alkali atoms","authors":"T. Zalialiutdinov, Y. Kozhedub, D. Solovyev","doi":"10.1139/cjp-2023-0068","DOIUrl":"https://doi.org/10.1139/cjp-2023-0068","url":null,"abstract":"In this paper, we consider a one-loop thermal correction to the g-factors of the ground and low-lying excited states in atomic systems with one valence s electron. As an example, we carried out calculations for Rb and Cs atoms, where optical measurements of transition frequencies set the metrological level of accuracy. With the development of atomic systems as the most accurate tool for spectroscopic experiments, it has become increasingly important to improve the accuracy of measuring the electron g-factor, which is currently at ~10^{-12}. The rapid progress in this field in recent years requires analysis not only of various relativistic, QED and other effects, but also theoretical studies of phenomena stimulated by the external thermal environment. We can expect that the thermal contribution to the g-factor calculated in our work may be of interest in the near future.","PeriodicalId":9413,"journal":{"name":"Canadian Journal of Physics","volume":"37 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2023-06-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72987323","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Malika Tehami, M. Benchehima, Djili Ameur, H. Abid
In this work, we present a theoretical investigation of the structural and optoelectronic properties of GaxIn1-xBiyP1-y quaternary alloys lattice-matched to InP using the full-potential linearized augmented plane wave approach based on the functional theory of density. The local density approximation (LDA) and the generalized gradient approximation of Wu–Cohen (WC-GGA) have been used for calculating the structural properties of GaxIn1-xBiyP1-y quaternaries. The lattice matching condition and the range of ( x, y) concentrations for which the quaternary alloys are lattice-matched to InP substrate were determined. It is found that the calculated lattice constants of GaxIn1-xBiyP1-y for all selected concentrations ( x, y) are about 5.9 Å, which are in good agreement with the experimental value of the lattice constant of InP (5.869 Å). The electronic property calculations are executed via EV-GGA and TB-mBJ approximations. The calculated band structures show that GaxIn1-xBiyP1-y quaternaries have semiconductor character and exhibit a direct band gap, for all selected concentrations ( x, y). In addition, the optical properties were calculated and discussed in detail. And also, the optical band gaps of quaternaries were determined using Tauc's method. We observed that the GaxIn1-xBiyP1-y quaternaries cover the wavelength ranging from 0.911 to 2.456 µm while maintaining a lattice match to the InP substrate. The obtained results reveal that these quaternaries are suitable candidates for telecommunication applications.
{"title":"First-principle study of the optoelectronic properties of GaxIn1-xBiyP1-y quaternary alloys lattice-matched to InP for telecommunication applications","authors":"Malika Tehami, M. Benchehima, Djili Ameur, H. Abid","doi":"10.1139/cjp-2022-0331","DOIUrl":"https://doi.org/10.1139/cjp-2022-0331","url":null,"abstract":"In this work, we present a theoretical investigation of the structural and optoelectronic properties of GaxIn1-xBiyP1-y quaternary alloys lattice-matched to InP using the full-potential linearized augmented plane wave approach based on the functional theory of density. The local density approximation (LDA) and the generalized gradient approximation of Wu–Cohen (WC-GGA) have been used for calculating the structural properties of GaxIn1-xBiyP1-y quaternaries. The lattice matching condition and the range of ( x, y) concentrations for which the quaternary alloys are lattice-matched to InP substrate were determined. It is found that the calculated lattice constants of GaxIn1-xBiyP1-y for all selected concentrations ( x, y) are about 5.9 Å, which are in good agreement with the experimental value of the lattice constant of InP (5.869 Å). The electronic property calculations are executed via EV-GGA and TB-mBJ approximations. The calculated band structures show that GaxIn1-xBiyP1-y quaternaries have semiconductor character and exhibit a direct band gap, for all selected concentrations ( x, y). In addition, the optical properties were calculated and discussed in detail. And also, the optical band gaps of quaternaries were determined using Tauc's method. We observed that the GaxIn1-xBiyP1-y quaternaries cover the wavelength ranging from 0.911 to 2.456 µm while maintaining a lattice match to the InP substrate. The obtained results reveal that these quaternaries are suitable candidates for telecommunication applications.","PeriodicalId":9413,"journal":{"name":"Canadian Journal of Physics","volume":"95 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2023-06-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85691689","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Ying Zhang, Ruifeng Gao, Yuwei Tu, Yichen Huang, Zhaoqing Ke
The motion of droplet on surface with discontinuous wetting gradient is of great importance for understanding lab-on-a-chip systems and other microfluidic devices. Different wetting gradients are known to be the main influencing factor in the droplet self- driven process, but the effect of different wall structures on the droplet migration process also deserves further investigation. In this paper, we analyze the self-driven process of liquid droplets on a local wetting gradient surface under microgravity conditions using front tracking method. The effects of different driving stripe lengths L_ΙΙx^*, different restrictive stripe lengths L_ΙΙΙy^*, and different surface wetting gradients ∆ cosθ on the droplet migration process and droplet morphology are analyzed. A theoretical formula that can predict the lateral spreading length of droplets is also proposed. The results show that different driving stripe length L_ΙΙx^* lengths and the wetting gradient ∆ cosθ have significant effects on the migration velocity of droplets, while different restrictive stripe length L_ΙΙΙy^* lengths have very significant effects on the final morphological characteristics of droplets. When restrictive stripe length L_ΙΙΙy^*≥1, the hindering effect generated by the restrictive region ΙΙΙ has more and more significant effects on the morphological structure of droplets in the migration process. When the correction factor ε=0.735 in the prediction equation, the predicted value calculated by the theoretical equation has a good degree of similarity with the numerical simulation results.
{"title":"Numerical Simulation Study of Self-driven Microdroplet on Locally Restrictive Discontinuous Wetting Gradient Surface Using Front Tracking Method","authors":"Ying Zhang, Ruifeng Gao, Yuwei Tu, Yichen Huang, Zhaoqing Ke","doi":"10.1139/cjp-2023-0009","DOIUrl":"https://doi.org/10.1139/cjp-2023-0009","url":null,"abstract":"The motion of droplet on surface with discontinuous wetting gradient is of great importance for understanding lab-on-a-chip systems and other microfluidic devices. Different wetting gradients are known to be the main influencing factor in the droplet self- driven process, but the effect of different wall structures on the droplet migration process also deserves further investigation. In this paper, we analyze the self-driven process of liquid droplets on a local wetting gradient surface under microgravity conditions using front tracking method. The effects of different driving stripe lengths L_ΙΙx^*, different restrictive stripe lengths L_ΙΙΙy^*, and different surface wetting gradients ∆ cosθ on the droplet migration process and droplet morphology are analyzed. A theoretical formula that can predict the lateral spreading length of droplets is also proposed. The results show that different driving stripe length L_ΙΙx^* lengths and the wetting gradient ∆ cosθ have significant effects on the migration velocity of droplets, while different restrictive stripe length L_ΙΙΙy^* lengths have very significant effects on the final morphological characteristics of droplets. When restrictive stripe length L_ΙΙΙy^*≥1, the hindering effect generated by the restrictive region ΙΙΙ has more and more significant effects on the morphological structure of droplets in the migration process. When the correction factor ε=0.735 in the prediction equation, the predicted value calculated by the theoretical equation has a good degree of similarity with the numerical simulation results.","PeriodicalId":9413,"journal":{"name":"Canadian Journal of Physics","volume":"4 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2023-06-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82000372","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
K α and K β X-rays of Mn following electron capture (EC) decay of 55 Fe were detected using Amptek XR-100 T-CdTe X-ray detector spectrometer. Measured K α and K β X-ray intensities of Mn were used to determine the K β to K α intensity ratio and total K–L total vacancy transfer probability. These values were compared with the theoretical, semiempirical, and others’ experimental values obtained via EC decay as well as photoionization. The X-ray intensity ratio of Mn was found to be higher by 1.5% from the relativistic Hartree-Slater theoretical value. This deviation may be attributed to the exchange interactions occurring between the 3p and 3d shell electrons as well as the recoil effect of the nucleus due to neutrino emission.
{"title":"Kβ to Kα X-ray intensity ratio and K-L vacancy transfer probability of Mn following electron capture decay","authors":"S.B. Gudennavar, S.G. Bubbly","doi":"10.1139/cjp-2023-0080","DOIUrl":"https://doi.org/10.1139/cjp-2023-0080","url":null,"abstract":"K α and K β X-rays of Mn following electron capture (EC) decay of 55 Fe were detected using Amptek XR-100 T-CdTe X-ray detector spectrometer. Measured K α and K β X-ray intensities of Mn were used to determine the K β to K α intensity ratio and total K–L total vacancy transfer probability. These values were compared with the theoretical, semiempirical, and others’ experimental values obtained via EC decay as well as photoionization. The X-ray intensity ratio of Mn was found to be higher by 1.5% from the relativistic Hartree-Slater theoretical value. This deviation may be attributed to the exchange interactions occurring between the 3p and 3d shell electrons as well as the recoil effect of the nucleus due to neutrino emission.","PeriodicalId":9413,"journal":{"name":"Canadian Journal of Physics","volume":"18 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-06-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136261129","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
We explain a general mathematical method that allows one to calculate the electrostatic potential created by a uniformly charged rectangular plate with arbitrary length and width at an arbitrary point in space. Exact analytical results for the electrostatic potential due to a uniformly charged finite rectangular plate are shown for special cases in order to illustrate the implementation of the formalism. Results of this nature are very important to various problems in physical sciences, applied mathematics and potential theory.
{"title":"Exact analytical results for the electrostatic potential due to a uniformly charged finite rectangular plate","authors":"O. Ciftja, Brent Ciftja","doi":"10.1139/cjp-2023-0091","DOIUrl":"https://doi.org/10.1139/cjp-2023-0091","url":null,"abstract":"We explain a general mathematical method that allows one to calculate the electrostatic potential created by a uniformly charged rectangular plate with arbitrary length and width at an arbitrary point in space. Exact analytical results for the electrostatic potential due to a uniformly charged finite rectangular plate are shown for special cases in order to illustrate the implementation of the formalism. Results of this nature are very important to various problems in physical sciences, applied mathematics and potential theory.","PeriodicalId":9413,"journal":{"name":"Canadian Journal of Physics","volume":"80 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2023-06-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73152978","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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