电子相对论径向波函数的基本特征

利用相对论平均自洽场理论,研究了电子相对论径向波函数的基本特征.电子相对论径向波函数大小分量的数量级通常相差悬殊且不"同步",核外电子的径向分布没有严格的零概率点;束缚电子相对论径向波函数大小分量的节点个数为n-l-1、波腹个数为n-l,而自由电子的节点和波腹数则趋于无穷大.电子相对论径向波函数反映了相对论效应的基本特征:相对论效应越强,小分量振幅相对越大,自由电子径向波函数振荡越剧烈.     

相对论小分量波函数对原子光电离截面的影响

利用相对论平均自洽场理论,研究了相对论波函数的小分量对原子光电离截面的影响。原子核尺寸效应将使波函数小分量对原子光电离截面的影响减弱。由于波函数沿径向空间被压缩,电子离核的平均半径较小,波函数小分量对高离化态离子光电离截面的影响比对一般原子要强得多。波函数小分量反映了相对论效应的基本特征,从而也定性地说明了光电离过程中相对论效应的强弱。     

微波吸收法研究(ZnCd)S∶Cu发光材料光生载流子的衰减过程

采用微波吸收法,测量了(ZnCd)S∶Cu及ZnS∶Mn,Cu粉末材料受到超短脉冲激光激发后,其自由电子和浅束缚电子的衰减过程。发现Cd2+的浓度对导带电子和浅束缚电子的寿命影响较小,而Cu+的浓度对导带电子和浅束缚电子的寿命有明显的影响,提高激活剂掺杂浓度会使自由电子的寿命大大缩短。     

微波吸收法研究(ZnCd)S:Cu发光材料光生载流子的衰减过程

采用微波吸收法，测量了（ZnCd)S:Cu及ZnS:Mn,Cu粉末材料受到超短脉冲激光激发后，其自由电子和浅束缚电子的衰减过程，发现Cd^2 的浓度对导带电子和浅束缚电子的寿命影响较大小，而Cu^＋的浓度对导带电子和浅束缚电子的寿命有明显的影响，提高激活剂杂浓度会使自由电子的寿命大大缩短。     

W含温有界下状态方程参数的理论计算

在改进的Hartree-Fock-Slater原子模型的基础上,在中心场近似下用含能带效应的全动态电子判据处理自由电子与束缚电子的密度分布,提高了电子波函数、电子占据数等原子参数的计算精度.通过平均近似处理,给出了劈裂的能带,从而改善了物质电子状态方程的计算精度.结果部分详细计算了W元素的原子能量、电子压强、熵、定容热容及其它热力学参数     

强激光等离子体中的自由电子波函数

借助激光等离子体的光学度规,严格求解了弯曲时空中的狄喇克方程,得到了强激光等离子体中的自由电子波函数。当激光场为零时,该波函数自然地过渡到相对论的自由电子波函数。简单地讨论了该波函数可能的应用。 关键词：     

W含温有界下状态方程参数的理论计算

在改进的Hartree-Fock-Slater原子模型的基础上，在中心场近似下用含能带效应的全动态电子判据处理自由电子与束缚电子的密度分布，提高了电子波函数、电子占据数等原子参数的计算精度.通过平均近似处理，给出了劈裂的能带，从而改善了物质电子状态方程的计算精度.结果部分详细计算了W元素的原子能量、电子压强、熵、定容热容及其它热力学参数     

类He的Y离子双电子复合计算

采用准相对论的多组态Hartree-Fock(HFR)方法计算了类Li的Y离子(Z=39)的能级和振子强度,并且通过采用扭曲波方法计算自由电子的波函数,我们得到了由类He的基态到类Li的双激发态的自电离几率和双电子复合系数。在计算中,相对论质量—速度和Darwin修正都包含在哈密顿中。为了便于等离子体细致能级占据数密度的动力学计算,我们用一个解析表达式来表示作为自由电子温度函数的双电子复合速率系数,这个表达式精确地描写了从类He的基态到类Li的单激发态的双电子复合。     

自由电子激光的空间电荷波理论

发展了相对论空间电荷波理论,并首先把空间电荷波理论用于建立自由电子激光的线性理论,揭示出自由电子激光中电子群聚及电子与波互作用机理的物理本质。并首次提出了“相对论去群聚”的物理概念,丰富了自由电子激光理论。同时提出了一些发展自由电子激光的新概念及新建议。     

相对论小分量波函数对原子光电离截面的影响

利用相对论平均自洽场理论,　研究了相对论波函数的小分量对原子光电离截面的影响。原子核尺寸效应将使波函数小分量对原子光电离截面的影响减弱。由于波函数沿径向空间被压缩,　电子离核的平均半径较小,　波函数小分量对高离化态离子光电离截面的影响比对一般原子要强得多。波函数小分量反映了相对论效应的基本特征,　从而也定性地说明了光电离过程中相对论效应的强弱。The effects of relativistic small radial component on atomic photoionization cross sections have been studied within relativistic average self consistent field theory. Relativistic effects are relatively unimportant for low photon energy, along with a review of high energy photoionization the relativistic effects are quite important. The effects of relativistic small radial component on photoionization process should show breakdown when the nuclear finite size effects is taken into account. The compression of wavefunction into the space near nucleus is so strong in highly charged ions that the electronic radius greatly decreases, and the effects of relativistic small radial component on photoionization cross sections turn to stronger than ordinary atoms. Since relativistic effects are extremely sensitive to the behavior of small radial component, the results are in good agreement with relativistic effects on photoionization cross section.     

Relativistic effects in nuclear motions

Using the wave functions of the relativistic equivalent harmonic oscillator recently proposed, elastic electron scattering cross sections have been calculated in the Born approximation for helium and lead. Calculations have also been made with the non-relativistic isotropie oscillator wave functions. Comparison with high-energy electron scattering experiments shows that relativistic effects may be significant in a heavy nucleus like lead.     

Scattering of atomic particles at relativistic energies

This article is concerned with excitation, ionization and electron capture collisions between charged particles and atomic systems involving a single active electron, at impact energies which are so great that Lorentz transformations between the frames of reference of the incident and target particles must be carried out as well as relativistic dynamics employed. For excitations and ionization it is sufficiently accurate to use the relativistic generalization of the first Born approximation, but for electron capture it is necessary to carry through the analysis using a relativistic generalization of the second Born approximation. Also relativistic wave functions are employed to describe the active atomic electron.     

Quasiclassical distribution function of electrons in a homogeneous magnetic field

Vlasov's equation is used to find the classical nonrelativistic and relativistic distribution functions that describe an electron beam of bounded radius in a homogeneous magnetic field. In the quasiclassical approximation, by means of the exact wave functions of an electron in a homogeneous magnetic field, the quantum relativistic distribution function with allowance for the electron spin is found. The mean physical quantities that characterize the radially bounded electron beam are found as functions of the temperature and electron spin.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 7, pp. 50–56, July, 1976.It is a pleasant duty to thank Professor V. G. Bagrov for discussing the results.     

Calculation of the cross section of helium ionization by an electron impact with the formation of a helium ion in an excited state

The total cross sections of He and He⁺ ionization by an electron impact are calculated in the first Born approximation. Calculations of the matrix elements are carried out by the Fock-Dirac multiconfiguration relativistic method using an intermediate type of coupling with orthogonal functions of the initial and final states. A single-electron wave function of the continuous spectrum for an Auger electron is obtained using the Fock-Dirac single-configuration method. The results of the calculations performed with orthogonal and nonorthogonal wave functions of the initial and final states are compared. The ionization cross sections are calculated for cases in which a knock-on electron of the continuous spectrum is described by both the orthogonal and nonorthogonal wave functions with respect to the wave functions of the core electrons.     

Lorentz Boosted Potential for a Two-Body System with Unequal Masses

We produce a Lorentz boosted two-body potential for particles of different mass that is phase equivalent to a given realistic non-relativistic two-body potential. The relativistic potential is related to the nonrelativistic potential using the Coester–Pieper–Serduke scheme, which ensures that the same scattering wave functions are obtained from the relativistic and non-relativistic potentials. This implies that the phase shifts are identical functions of the relative momentum. To construct the potential we use an iterative scheme that generalizes one that has been applied successfully to two-body systems with equal masses.     

Calculation by plane wave Born approximations of electron-impact ionization of silver and copper

The plane wave Born approximation is used to calculate total electron impact ionization cross section of silver and copper. Wavefunctions of the target and residual ions were modeled by non orthogonal Hartree-Fock and Dirac-Fock orbitals. The wave functions of the atom and residual ion are calculated with allowance for relaxation effects. The one-electron wavefunction of the continuous spectrum for the ejected electron is obtained using single-configuration Hartree-Fock and Dirac-Fock method. The orthogonalization of the ejected electron wave functions to all occupied orbitals of the target atom is performed. Results of calculations are compared to available experimental measurements and theoretical calculations performed by non relativistic one-electron PWBA, where the ejected electrons is modeled by the hydrogenic Coulomb wave function.     

Study of relativistic bound state wave functions in quasielastic (e,e′ p) reactions

The unpolarized response functions of the quasielastic ¹⁶O(e,e′ p)¹⁵N reaction are calculated for three different types of relativistic bound-state wave functions. The wave functions are obtained from relativistic Hartree, relativistic Hartree-Fock and density-dependent relativistic Hartree calculations that reproduce the experimental rms charge radius of ¹⁶O. The sensitivity of the unpolarized response functions to the single-particle structure of the different models is investigated in the relativistic plane-wave impulse approximation. Redistributions of the momentum dependence in the longitudinal and transverse response function can be related to the binding energy of the single-particle states. The interference responses R_LT and R_TT reveal a strong sensitivity to the small component of the relativistic bound-state wave function.     

Electronic relativistic effect on the ratios of deuteron to alpha-particle induced K-shell ionization cross sections

The ratios of the K-shell ionization cross sections induced by deuterons to those induced by α-particles with the same velocities have been calculated in the plane wave Born approximation using relativistic hydrogenic wave functions for the target electrons. The numerical results are compared with the recent experimental valus of Chang et al. The use of relativistic wave functios considerably improves the agreement with the experimental data.