We describe the calculation of hydrogenic (one-loop) Bethe logarithms for all states with principal quantum numbers n <= 200. While, in principle, the calculation of the Bethe logarithm is a rather easy computational problem involving only the nonrelativistic (Schroedinger) theory of the hydrogen atom, certain calculational difficulties affect highly excited states, and in particular states for which the principal quantum number is much larger than the orbital angular momentum quantum number. Two evaluation methods are contrasted. One of these is based on the calculation of the principal value of a specific integral over a virtual photon energy. The other method relies directly on the spectral representation of the Schroedinger-Coulomb propagator. Selected numerical results are presented. The full set of values is available at quant-ph/0504002.
Expansion of the irregular solution in the theory of Stark effect in hydrogenic-like Rydberg atoms
我们推导出了负能量下的不规则物理解在球形解上的展开式，这是获得过程的$S$矩阵所必需的。这种膨胀与Giannaeal等人发展的理论的关系，分析了Phys. Rev. A 94，013419（2016）。特别是，我们表明，扩大不规则的解决方案失踪Giannaiden等人。的理论可以从他们的一个主要假设推导出来。这样得到的展开式在数值上与我们的展开式直到高角动量是等价的。这两个扩展的关键矩阵的解析表达式。
U(1) lattice gauge theory and string roughening on a triangular Rydberg array
University of Innsbruck（因斯布鲁克大学）；Institute for Quantum Optics and Quantum Information of the Austrian Academy of Sciences（奥地利科学院量子光学与量子信息研究所）；Harvard University（哈佛大学）；Instituto de Física Teórica UAM-CSIC（马德里自治大学-西班牙国家研究委员会理论物理研究所）
Kinetically constrained cavity QED: from blockaded ferromagnetism to long-range quantum scars
Institute of Physics, Johannes Gutenberg University Mainz（约翰内斯·古腾堡大学美因茨物理研究所）；Department of Physics, University of Konstanz（康斯坦茨大学物理系）；ICFO—Institut de Ciències Fotòniques, The Barcelona Institute of Science and Technology（巴塞罗那科技学院光子科学研究所）；ICREA—Institució Catalana de Recerca i Estudis Avançats（加泰罗尼亚高级研究学院）；Max-Planck-Institut für Quantenoptik（马克斯·普朗克量子光学研究所）；Munich Center for Quantum Science and Technology (MCQST)（慕尼黑量子科学与技术中心）；Fakultät für Physik, Ludwig-Maximilians-Universität（路德维希-马克西米利安大学物理学院）；Max Planck Institute for the Physics of Complex Systems（马克斯·普朗克复杂系统物理研究所）；Department of Physics, The State University of New York at Buffalo（纽约州立大学布法罗分校物理系）
