Structure of Multielectron Atoms
Description
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.
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Content
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.