The main goal of the present work is a unitary approach of the physical origin of the corrections to the magnetic moment of free and bound electron. Based on this approach, estimations of lowest order corrections were...The main goal of the present work is a unitary approach of the physical origin of the corrections to the magnetic moment of free and bound electron. Based on this approach, estimations of lowest order corrections were easily obtained. In the non-relativistic limit, the Dirac electron appears as a distribution of charge and current extended over a region of linear dimension of the order of Compton wavelength, which generates its magnetic moment. The e.m. mass (self-energy) of electron outside this region does not participate to this internal dynamics, and consequently does not contribute to the mass term in the formula of the magnetic moment. This is the physical origin of the small increase of the magnetic moment of free electron compared to the value given by Dirac equation. We give arguments that this physical interpretation is self-consistent with the QED approach. The bound electron being localized, it has kinetic energy which means a mass increase from a relativistic point of view, which determines a magnetic moment decrease (relativistic Breit correction). On the other hand, the e.m. mass of electron decreases at the formation of the bound state due to coulomb interaction with the nucleus. We estimated this e.m. mass decrease of bound electron only in its internal dynamics region, and from it the corresponding increase of the magnetic moment (QED correction). The corrections to the mass value are at the origin of the lowest order corrections to the magnetic moment of free and bound electron.展开更多
To include the bound electron effects in particle-in-cell(PIC)simulation,we propose a model in which the response of the dipole components of partially ionized ions to external electromagnetic fields can be included.I...To include the bound electron effects in particle-in-cell(PIC)simulation,we propose a model in which the response of the dipole components of partially ionized ions to external electromagnetic fields can be included.Instead of treating the macroion particle as a single particle without an internal structure,the ions are considered to have a structure composed of a central nucleus and a bounded electron cloud in our model.The two parts experience the interactions of both the external electromagnetic fields and the internal Coulomb fields.In this way,the laser scattering effects by a partially ionized medium can be modeled properly in the PIC simulation.The laser propagation in a neutral medium and the Bragg scattering of the laser in crystal structure have been simulated with a PIC code modified based on our model as the benchmark.Our model may find applications to study some interesting problems,such as the x-ray laser-driven wakefield acceleration in crystals,the x-ray laser-driven high energy density physics,and intense laser propagation in partially ionized nonlinear optical materials,etc.展开更多
We present a study of the ion stopping power due to free and bound electrons in a warm dense plasma.Our main goal is to propose a method of stopping-power calculation expected to be valid for any ionization degree.The...We present a study of the ion stopping power due to free and bound electrons in a warm dense plasma.Our main goal is to propose a method of stopping-power calculation expected to be valid for any ionization degree.The free-electron contribution is described by the Maynard–Deutsch–Zimmerman formula,and the bound-electron contribution relies on the Bethe formula with corrections,in particular taking into account density and shell effects.The results of the bound-state computation using three different parametric potentials are investigated within the Garbet formalism for the mean excitation energy.The first parametric potential is due to Green,Sellin,and Zachor,the second one was proposed by Yunta,and the third one was introduced by Klapisch in the framework of atomic-structure computations.The results are compared with those of self-consistent average-atom calculations.This approach correctly bridges the limits of neutral and fully ionized matter.展开更多
We consider a five-electron system in the Hubbard model with a coupling between nearest-neighbors. The structure of essential spectrum and discrete spectrum of the systems in the third and fourth doublet states in a &...We consider a five-electron system in the Hubbard model with a coupling between nearest-neighbors. The structure of essential spectrum and discrete spectrum of the systems in the third and fourth doublet states in a <em>v</em>-dimensional lattice is investigated. We prove that the essential spectrum of the system in a third doublet state consists is the union of at most four segments, and discrete spectrum of the system is empty. We show that the essential spectrum of the system in a fourth doublet state consists of the union of at most seven segments, and discrete spectrum of the system consists of no more than one point.展开更多
We consider an energy operator of four-electron system in the Impurity Hubbard model with a coupling between nearest-neighbors. The spectrum of the systems in the second triplet state in a ν-dimensional lattice is in...We consider an energy operator of four-electron system in the Impurity Hubbard model with a coupling between nearest-neighbors. The spectrum of the systems in the second triplet state in a ν-dimensional lattice is investigated. For investigation the structure of essential spectra and discrete spectrum of the energy operator of four-electron systems in an impurity Hubbard model, for which the momentum representation is convenient. In addition, we used the tensor products of Hilbert spaces and tensor products of operators in Hilbert spaces and described the structure of essential spectrum and discrete spectrum of the energy operator of four-electron systems in an impurity Hubbard model for the second triplet state of the system. The investigations show that the essential spectrum of the system consists of the union of no more than sixteen segments, and the discrete spectrum of the system consists of no more than eleven eigenvalues.展开更多
部分电离等离子体是惯性约束聚变燃料及天体等离子体中的重要组成部分,该等离子体的输运及流体力学等性质受到束缚电子的显著影响,然而当前基于光谱学的技术手段难以对其进行高精度诊断.本文基于中国科学院近代物理研究所低能离子束与...部分电离等离子体是惯性约束聚变燃料及天体等离子体中的重要组成部分,该等离子体的输运及流体力学等性质受到束缚电子的显著影响,然而当前基于光谱学的技术手段难以对其进行高精度诊断.本文基于中国科学院近代物理研究所低能离子束与等离子体相互作用实验平台,精确测量了100 ke V质子束穿过部分电离氢等离子体靶后的能损,该能损是质子同靶区内自由电子与束缚电子碰撞共同作用的结果.利用已有的能损理论模型,结合激光干涉诊断获得的自由电子密度信息,最终得到了部分电离氢等离子体靶中沿离子路径上的束缚电子密度,并给出了该等离子体的离化度参数.该离子束诊断技术具有在线、原位、分辨率高等优势,为解决部分电离等离子体内部束缚电子密度的诊断问题提供了新的途径.展开更多
Based on the weakest bound electron potential model theory, the Rydberg energy levels and quantum defects of the nP^2P^o1/2 （n=7-50） and np^2P^o3/2 （n=7-50） spectrum series for the francium atom are calculated. Th...Based on the weakest bound electron potential model theory, the Rydberg energy levels and quantum defects of the nP^2P^o1/2 （n=7-50） and np^2P^o3/2 （n=7-50） spectrum series for the francium atom are calculated. The calculated results are in excellent agreement with the 48 measured levels, and 40 energy levels for highly excited states are predicted.展开更多
文摘The main goal of the present work is a unitary approach of the physical origin of the corrections to the magnetic moment of free and bound electron. Based on this approach, estimations of lowest order corrections were easily obtained. In the non-relativistic limit, the Dirac electron appears as a distribution of charge and current extended over a region of linear dimension of the order of Compton wavelength, which generates its magnetic moment. The e.m. mass (self-energy) of electron outside this region does not participate to this internal dynamics, and consequently does not contribute to the mass term in the formula of the magnetic moment. This is the physical origin of the small increase of the magnetic moment of free electron compared to the value given by Dirac equation. We give arguments that this physical interpretation is self-consistent with the QED approach. The bound electron being localized, it has kinetic energy which means a mass increase from a relativistic point of view, which determines a magnetic moment decrease (relativistic Breit correction). On the other hand, the e.m. mass of electron decreases at the formation of the bound state due to coulomb interaction with the nucleus. We estimated this e.m. mass decrease of bound electron only in its internal dynamics region, and from it the corresponding increase of the magnetic moment (QED correction). The corrections to the mass value are at the origin of the lowest order corrections to the magnetic moment of free and bound electron.
基金supported by the National Natural Science Foundation of China(11991074 and 12135009).
文摘To include the bound electron effects in particle-in-cell(PIC)simulation,we propose a model in which the response of the dipole components of partially ionized ions to external electromagnetic fields can be included.Instead of treating the macroion particle as a single particle without an internal structure,the ions are considered to have a structure composed of a central nucleus and a bounded electron cloud in our model.The two parts experience the interactions of both the external electromagnetic fields and the internal Coulomb fields.In this way,the laser scattering effects by a partially ionized medium can be modeled properly in the PIC simulation.The laser propagation in a neutral medium and the Bragg scattering of the laser in crystal structure have been simulated with a PIC code modified based on our model as the benchmark.Our model may find applications to study some interesting problems,such as the x-ray laser-driven wakefield acceleration in crystals,the x-ray laser-driven high energy density physics,and intense laser propagation in partially ionized nonlinear optical materials,etc.
文摘We present a study of the ion stopping power due to free and bound electrons in a warm dense plasma.Our main goal is to propose a method of stopping-power calculation expected to be valid for any ionization degree.The free-electron contribution is described by the Maynard–Deutsch–Zimmerman formula,and the bound-electron contribution relies on the Bethe formula with corrections,in particular taking into account density and shell effects.The results of the bound-state computation using three different parametric potentials are investigated within the Garbet formalism for the mean excitation energy.The first parametric potential is due to Green,Sellin,and Zachor,the second one was proposed by Yunta,and the third one was introduced by Klapisch in the framework of atomic-structure computations.The results are compared with those of self-consistent average-atom calculations.This approach correctly bridges the limits of neutral and fully ionized matter.
文摘We consider a five-electron system in the Hubbard model with a coupling between nearest-neighbors. The structure of essential spectrum and discrete spectrum of the systems in the third and fourth doublet states in a <em>v</em>-dimensional lattice is investigated. We prove that the essential spectrum of the system in a third doublet state consists is the union of at most four segments, and discrete spectrum of the system is empty. We show that the essential spectrum of the system in a fourth doublet state consists of the union of at most seven segments, and discrete spectrum of the system consists of no more than one point.
文摘We consider an energy operator of four-electron system in the Impurity Hubbard model with a coupling between nearest-neighbors. The spectrum of the systems in the second triplet state in a ν-dimensional lattice is investigated. For investigation the structure of essential spectra and discrete spectrum of the energy operator of four-electron systems in an impurity Hubbard model, for which the momentum representation is convenient. In addition, we used the tensor products of Hilbert spaces and tensor products of operators in Hilbert spaces and described the structure of essential spectrum and discrete spectrum of the energy operator of four-electron systems in an impurity Hubbard model for the second triplet state of the system. The investigations show that the essential spectrum of the system consists of the union of no more than sixteen segments, and the discrete spectrum of the system consists of no more than eleven eigenvalues.
文摘部分电离等离子体是惯性约束聚变燃料及天体等离子体中的重要组成部分,该等离子体的输运及流体力学等性质受到束缚电子的显著影响,然而当前基于光谱学的技术手段难以对其进行高精度诊断.本文基于中国科学院近代物理研究所低能离子束与等离子体相互作用实验平台,精确测量了100 ke V质子束穿过部分电离氢等离子体靶后的能损,该能损是质子同靶区内自由电子与束缚电子碰撞共同作用的结果.利用已有的能损理论模型,结合激光干涉诊断获得的自由电子密度信息,最终得到了部分电离氢等离子体靶中沿离子路径上的束缚电子密度,并给出了该等离子体的离化度参数.该离子束诊断技术具有在线、原位、分辨率高等优势,为解决部分电离等离子体内部束缚电子密度的诊断问题提供了新的途径.
基金Project supported by the Scientific Research Foundation of the State Human Resource Ministry for Returned Chinese Scholars,China (Grant No.2005LXAH06)the Research Foundation of Education Bureau of Anhui Province,China (Grant Nos.KJ2008A145 and 2002HBL05)
文摘Based on the weakest bound electron potential model theory, the Rydberg energy levels and quantum defects of the nP^2P^o1/2 （n=7-50） and np^2P^o3/2 （n=7-50） spectrum series for the francium atom are calculated. The calculated results are in excellent agreement with the 48 measured levels, and 40 energy levels for highly excited states are predicted.
