类铝离子基态能量的相对论修正和Z相关修正

以Breit-Pauli哈密顿的球张量形式为基础,借助不可约张量理论,在拉卡表象下计算了类铝体系基态能量相对论修正(包括相对论质量修正项、单体和双体达尔文修正项、自旋-自旋接触和轨道-轨道相互作用项)。在此基础上,引入了一个与核电荷数Z相关的能量修正项,用以弥补因忽略能量的其它高阶项对原子体系能量的影响。计算结果与实验值非常接近。     

相对论效应对电子—原子弹性散射的影响

本文用出现在薛定谔方程中的一个“等效势”体现相对论效应,结合我们以前得到的交换势,计算了低能电子(0.1-30eV)被Ar、Kr、Xe、Rn弹性散射的截面。结果表明,相对论效应的影响随原子序数的增加而加大。考虑相对论效应后计算结果与实验符合得很好,这也同时表明我们所用的交换势是较成功的。     

类氩体系基态能量的相对论修正

以相对论修正哈密顿(包括质量修正、单体和双体达尔文修正、自旋-自旋接触相互作用)的张量形式为基础,借助不可约张量理论导出了类氩体系基态能量的相对论修正的解析表达式.在斯莱特表象中完成了所有的角向积分和自旋求和计算,能量的相对论修正式用径向矩阵元的线性组合来表示.对类氩体系基态能量的相对论修正值进行了具体计算,修正后基态能量与实验值的相对误差小于0.0459%.     

氩原子和类氩离子相对论修正

以相对论修正哈密顿(包括质量修正、单体和双体达尔文修正、自旋-自旋接触相互作用)的球张量形式为基础, 借助不可约张量理论导出了类氩体系基态能量的相对论修正的解析表达式. 在斯莱特表象中完成了所有的角向积分和自旋求和计算, 能量的相对论修正式用径向矩阵元的线性组合来表示.对类氩体系基态能量的相对论修正值进行了具体计算,相对误差均小于0.0459%     

慢电子与汞原子弹性碰撞中的相对论效应

本文从中心力场下的狄拉克方程出发,推导了考虑相对论效应后慢电子与原子弹性碰撞的截面计算公式,通过将相对论效应以引入相对论修正势的形式计入到入射电子与靶原子相互作用势中,把等效势模型(Gou et al.1981)推广运用到了慢电子与重原子Hg的弹性碰撞截面计算,并着重研究了相对论效应在此碰撞过程中的作用。 采用非相对论Slater波函数描述靶原子,除了考虑库仑相互作用和相对论效应,同时还要考虑交换作用和极化作用,本文计算了入射电子能量在10~(-7)～10eV内的散射总截面,能量为1.4eV、2.4eV的微分散射截面,计算结果与实验基本符合。本文得到的E=10~(-5)eV处有一总截面极小值σ_(min)=108.61a_s~2,对了解能量低于0.1eV后的散射总截面情况是有益的。 相对论效应对靶原子势场、各散射分波相移、畸变波函数以及总散射截面的影响,本文作了详细讨论,计算结果和讨论表明,即使是慢电子与汞原子弹性碰撞,其相对论效应也是非常重要,应该加以考虑。     

分子振动能级的相对论修正

本文借助于Lindstedt-Poincare方法求解了振子所相应的Klein-Gordon方程,从而得到了分子振动能级的相对论修正。并举例说明了此修正的意义.     

Thomas-Fermi模型的相对论修正

 本文用相对论能量-动量关系代替经典的能量-动量关系，得出相对论情况下的TF方程，然后推导出低温展开公式，并对U⁹²进行了比较计算。     

用QED理论建立多电子原子的精细结构哈密顿

利用QED理论,采用一种类似于代数的方法,建立了多电子原子的精细结构哈密顿,并将自旋-其他轨道、自旋-自旋以及轨道-轨道等相互作用项转化成便于计算的球张量形式.     

电子与原子、离子碰撞过程的相对论效应

在玻恩近似下,建立了高能电子与原子、离于非弹性碰撞过程的相对论性理论计算方法,并以类Li等电子系列为例,阐明了电子与原子、离子非弹性碰撞过程的相对论效应.它包括:1.靶原子的相对论效应,它随原子序数的增加而增大.低z靶(如Li)的相对论效应可以忽略;对Au~(+76)靶的2_3—3p跃迁,广义振子强度相对论性计算值比相应的非相对论性值小27.1%.2.入射电子的相对论效应,它随入射电子能量的增加而增大.对高能入射电子,在特殊角度,要考虑广义振子强度横场项对微分截面的影响.在极端相对论情况下,如入射电子动能 关键词：     

类碳体系基态能量的相对论修正(英文)

以Breit-Pauli哈密顿的球张量形式为基础,借助不可约张量理论,将多电子原子能量的相对论修正理论拓展到了原子的拉卡波函数为多个Slater基函数的线性组合的情形,导出了此情形下多电子原子能量相对论修正(包括相对论质量修正项、单体和双体迭尔文修正项、自旋-自旋接触相互作用项)的解析表达式,完成了所有角向积分和自旋求和计算.利用所建立的理论,对类碳体系基态能量的相对论修正进行了具体计算.     

The Lowest Order Relativistic Corrections for K^-p Two-Body Problem

A two-body equation of the kaon-proton system with the lowest order relativistic corrections is derived and solved. The scattering lengths and the energy of an unstable bound state are calculated.     

The Lowest Order Relativistic Corrections for K-p Two-Body Problem

A two-body equation of the kaon-proton system with the lowest order relativistic corrections is derived and solved. The scattering lengths and the energy of an unstable bound state are calculated.     

氦原子(n1sn2p)组态能级的相对论修正

本文采用拉卡基函数并借助不可约张量理论,导出氦原子(n1sn2p)组态的各种相对论效应的理论计算式,在这一过程中,完成了所有的角向积分和自旋求和计算,其结果用径向矩阵元形式来表示.     

Relativistic theory of parity violation in many-electron atoms

We present a theoretical framework for the calculation of parity-mixing effects of the weak interaction in many-electron atoms which is based on first principles. The starting point is an external-field no-pair Hamiltonian H₊ which allows for a consistent treatment of effects coming from virtual electron-positron pairs and can be used as a basis for a systematic program of calculations. We show that the matrix element $\text{M}$ for parity-violating E1 transitions, given by quantum electrodynamics, gets an appreciable contribution $\text{M}$^pair from states involving an extra electron-positron pair. However on eliminating the velocity operator α in favor of the length operator iωr, we find cancellations which result in an accurate formula for $\text{M}$ involving only the positive-energy N-electron eigenstates of H₊ as intermediate states and the length form, iωr · ?, of the dipole operator. We discuss the implications of our results for calculations of amplitudes for parity-violating radiative E1 transitions in many-electron atoms. Our analysis includes a study of the effects coming from the weak electron-electron interaction as well as those arising from the weak electron-nucleus interaction.     

Relativistic corrections to reported sulfur 1s ionization energies

Recently reported sulfur Is ionization energies are found to be systematically in error by about 0.5 eV, apparently because relativistic effects were not considered in the calibration of the spectrometer that was used for the measurements.     

Relativistic Dynamics in Basic Chemistry

This paper revisits the historical sequence in which some of the major developments of 20th-century physics occurred, and explores how theories could have turned out differently, if the sequence of developments had been different. It shows how a delay in founding special relativity theory until after (1) at least one puzzling problem in electromagnetic theory could be acknowledged, and (2) sat least some of the experimental observations pertinent to the development of quantum mechanics had become well known, could have resulted in a larger theory that covers both domains in a manner quite different from that of any of the theories we use today. The revised theory dispenses with a separate postulate introducing Planck’s constant h, identifying instead a physical mechanism that implies the constant. Some important aspects of quantum chemistry then follow. Editor, Galilean Electrodynamics, Proceedings of the Natural Philosophy Alliance; Visiting Industry Professor, Tufts University, retired