Structure of Multielectron Atoms

by Anders Kastberg

Overview

This book is about the structure of multielectron atoms and predominantly adopts a perturbative approach to the total Hamiltonian. A key concept is the central-field approximation and, beyond the standard LS-coupling and jj-coupling schemes, intermediate cases are also treated. After that, the book covers hyperfine structure and other nuclear effects, as well as interactions with static external fields. Throughout the book, an analytical approach is adopted.

Working knowledge of basic quantum mechanics (including the non-relativistic hydrogen atom, basic angular momentum and perturbation theory) is assumed, and it begins with a brief recap of the hydrogen orbitals, before turning towards the symmetry aspects of multi-electron atoms, spin-orbit interaction and couplings of angular momenta.

Product Details

ISBN-13:	9783030364182
Publisher:	Springer International Publishing
Publication date:	04/24/2020
Series:	Springer Series on Atomic, Optical, and Plasma Physics , #112
Edition description:	1st ed. 2020
Pages:	368
Product dimensions:	6.10(w) x 9.25(h) x (d)

About the Author

Anders Kastberg is professor of physics in Nice, France. He was previously a professor in Umeå, Sweden, and adjunct professor at the Raman Research Institute, Bangalore, India. He is a former president of the Swedish Physical Society. He graduated from Uppsala University, Sweden.

Table of Contents

Chapter 1: The one-electron atom.- Chapter2: Atoms with two or more electrons – symmetries.- Chapter3: Approximation methods.- Chapter4: The spin-orbit interaction.- Chapter5: The central-field approximation.- Chapter6: Coupling of angular momenta – the vector model.- Chapter7: LS–coupling.- Chapter8: jj-coupling.- Chapter9: Other coupling schemes —Intermediate cases.- Chapter10: Nuclear effects.- Chapter11: The Zeeman effect.- Chapter12: The Stark effect.- Chapter13: Complex and exotic excitations.- Chapter14: Numerical solutions of the atomic Schrödinger equation.- Appendix A: Atomic units.- Appendix B: Radial hydrogenic wave functions.- Appendix C: Angular momentum.- Appendix D: Coulomb and Exchange integrals.- Appendix E: Electron spin.- Appendix F: Magnetic interactions in multielectron atoms.- Index.