Precision Physics Of Simple Atomic Systems

Recent progress with precision physics of simple atoms / S.G. Karshenboim, V.B. Smirnov -- Part I. The hydrogen atom: Coulomb green function and its applications in atomic theory / L.N. Labzowsky, D.A. Solovyev -- Part II. Muonic and exotic atoms and nuclear effects: Atomic cascade and precision physics with light muonic and hadronic atoms / T.S. Jensen, V.E. Markushin -- The structure of light nuclei and its effect on precise atomic measurements / J.L. Friar -- Deeply bound pionic states as an indicator of chiral symmetry restoration / T. Yamazaki -- Part III. Hydrogen-like ions: Virial relations for the dirac equation and their applications to calculations of hydrogen-like atoms / V.M. Shabaev -- Lamb shift experiments on high-Z one-electron systems / T. Stöhlker, D. Banaś, H. Beyer, A. Gumberidze -- Part IV. Testing quantum electrodynamics: Simple atoms, quantum electrodynamics, and fundamental constants / S.G. Karshenboim -- Resent results and current status of the muon (g-2) experiment at BNL / S.I. Redin [and others] -- Part V. Precision mearuements and fundamental constants: Single ion mass spectrometry at 100 ppt and beyond / S. Rainville, J.K. Thompson, D.E. Pritchard -- Current status of the problem of cosmological variability of fundamental physical constants / D.A. Varshalovich, A.V. IVANCHIK, A.V. Orlov, A.Y. Potekhin.

For more than a century, studies of atomic hydrogen have been a rich source of scientific discoveries. These began with the Balmer series in 1885 and the early quantum theories of the atom, and later included the development of QED and the first successful gauge field theory. Today, hydrogen and its relatives continue to provide new fundamental information, as witnessed by the contributions to this book. The printed volume contains invited reviews on the spectroscopy of hydrogen, muonium, positronium, few-electron ions and exotic atoms, together with related topics such as frequency metrology and the determination of fundamental constants. The accompanying CD contains, in addition to these reviews, a further 40 contributed papers also presented at the conference "Hydrogen Atom 2" held in summer 2000. Finally, to facilitate a historical comparison, the CD also contains the proceedings of the first "Hydrogen Atom" conference of 1988. The book includes a foreword by Norman F. Ramsey.

This volume presents multidisciplinary treatments of important areas and new developments within precision physics. It concentrates on new topics and those not treated in the previous volumes about the precision physics of simple atoms, all published in LNP. For example, it concentrates on the proton structure and its effects on the energy levels, on simple molecules, on atoms somewhat more complicated than hydrogen (such as lithium), on exotic atoms and atoms with exotic nuclei.

Simple atoms are atoms consisting of no more than three particles. They are the test-bench of atomic physics and quantum mechanics. This book presents these findings, bridging the gap between textbook descriptions of these systems and the latest research. Counterintuitive phenomena in simple atomic and molecular systems are revealed, along with their fundamental importance and practical applications. These include the advanced methods for lasing in the infra-red and microwave ranges, the improved design of x-ray lasers, and advanced methods for spectroscopic diagnostics of plasmas. The analytical solutions of simple atoms and their role in theoretical physics will also be discussed. The book is aimed at graduate students and researchers in the field of atomic and molecular physics.

This volume presents multidisciplinary treatments of important areas and new developments within precision physics. It concentrates on new topics and those not treated in the previous volumes about the precision physics of simple atoms, all published in LNP. For example, it concentrates on the proton structure and its effects on the energy levels, on simple molecules, on atoms somewhat more complicated than hydrogen (such as lithium), on exotic atoms and atoms with exotic nuclei.

The book focuses on advanced computer algebra methods and special functions that have striking applications in the context of quantum field theory. It presents the state of the art and new methods for (infinite) multiple sums, multiple integrals, in particular Feynman integrals, difference and differential equations in the format of survey articles. The presented techniques emerge from interdisciplinary fields: mathematics, computer science and theoretical physics; the articles are written by mathematicians and physicists with the goal that both groups can learn from the other field, including most recent developments. Besides that, the collection of articles also serves as an up-to-date handbook of available algorithms/software that are commonly used or might be useful in the fields of mathematics, physics or other sciences.