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Rigorous Approach to Relativistic Corrections of Bound State Energies for Spin-1/2 Particles

机译：严格的自旋-1 / 2粒子束缚态能量相对论修正方法

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Under fairly general conditions on the interactions we prove holomorphy of the Dirac resolvent around its nonrelativistic limit. As a consequences, perturbation theory in terms of resolvents (instead of Hamiltonians) yields holomorphy of Dirac eigenvalues and eigenfunctions with respect to c exp -1 and a new method of calculating relativistic corrections to bound state energies. Due to a formulation in an abstract setting our method is applicable in many different concrete situation. In particular our approach covers the case of the relavistic hydrogen atom in external electromagnetic fields. (Atomindex citation 14:777349)

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Gesztesy, F.; Thaller, B.; Grosse, H.;
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年度 1983
页码 1-25
总页数 25
原文格式 PDF
正文语种 eng
中图分类工业技术;
关键词
Dirac Operators; Fermions; Bound State; Corrections; Eigenfunctions; Eigenvalues; Electromagnetic Fields; Field Equations; Hamiltonians; Hydrogen; Pauli Spin Operators; Perturbation Theory; Relativistic Range;

机译：Dirac算子;费米子;束缚态;校正;本征函数;特征值;电磁场;场方程; Hamiltonian;氢; pauli自旋算子;扰动理论;相对论范围;

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1. Relativistic Solution for One Spin-1/2 and One Spin-0 Particle Bound by Coulomb Potential: Part Two [J] . W. Królikowski Acta physica Polonica, B. Particle Physics and Field Theory, Nuclear Physics, Theory of Relativity . 1982,第7期

机译：库仑势限制的一个自旋1/2和一个自旋0粒子的相对论解：第二部分
2. Relativistic Solution for One Spin-1/2 and One Spin-0 Particle Bound by Coulomb Potential [J] . W. Królikowski Acta physica Polonica, B. Particle Physics and Field Theory, Nuclear Physics, Theory of Relativity . 1981,第8期

机译：库仑势约束的一个自旋1/2和一个自旋0粒子的相对论解
3. Gravitational radiation from a particle in bound orbit around a black hole; relativistic correction [J] . Ashok Tiwari, Udayaraj Khanal Journal of Physics: Conference Series . 2016,第1期

机译：来自黑洞周围的约束轨道中的粒子的引力辐射;相对论校正
4. Relativistic Dust Particles Approaching the Earth as Highest Energy Cosmic Rays [C] . V. N. Tsytovich, R. Bingham International Conferene on the Physics of Dusty Plasmas . 2002

机译：相对论的灰尘颗粒接近地球作为最高能量宇宙射线
5. Using spin resonances to manipulate the polarization of spin-1/2 and spin-1 particle beams. [D] . Morozov, Vasily S. 2007

机译：使用自旋共振来控制自旋1/2和自旋1粒子束的偏振。
6. Density Functional Prediction of Quasiparticle Excitation and Resonance Energies of Molecules With a Global Scaling Correction Approach [O] . Xiaolong Yang, Xiao Zheng, Weitao Yang 2020

机译：具有全球缩放校正方法的Quasiparticle激励和共振能的密度泛函预测
7. The Construction of Relativistically Invariant Equations of Motion and the Momentum Energy Tensor for Spin-1/2 Particles with Polarizabilities in an Electromagnetic Field [O] . S. A. Lukashevich, N. V. Maksimenko 2019

机译：具有电磁场中的旋转1/2颗粒的相对激动的运动和动量张量的构造，具有电磁场中的偏光性
8. Solar Energy Enhancement Using Down-converting Particles: A Rigorous Approach. [R] . Abrams, Z. R., Niv, A., Zhang, X. 2011

机译：使用下转换粒子的太阳能增强：一种严格的方法。

Rigorous Approach to Relativistic Corrections of Bound State Energies for Spin-1/2 Particles

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