1. Review of Quantum Mechanics -- 1.1 Wave Functions and Equations of Motion -- 1.2 Symmetries -- 1.3 Bound States and Unbound States -- 1.4 Resonances and Channels -- 1.5 Methods of Approximation -- 1.6 Angular Momentum and Spin -- Problems -- References -- 2. Atoms and Ions -- 2.1 One-Electron Systems -- 2.2 Many-Electron Systems -- 2.3 The N-Electron Problem -- 2.4 Electromagnetic Transitions -- Problems -- References -- 3. Atomic Spectra -- 3.1 One Electron in a Modified Coulomb Potential -- 3.2 Coupled Channels -- 3.3 Multichannel Quantum Defect Theory (MQDT) -- 3.4 Atoms in External Fields -- Problems -- References -- 4. Simple Reactions -- 4.1 Elastic Scattering -- 4.2 Spin and Polarization -- 4.3 Inelastic Scattering -- 4.4 Exit Channels with Two Unbound Electrons -- Problems -- References -- 5. Special Topics -- 5.1 Multiphoton Absorption -- 5.2 Classical Mechanics and Quantum Mechanics -- 5.3 Chaos -- Problems -- References -- Appendix: Special Mathematical Functions -- A.1 Legendre Polynomials, Spherical Harmonics -- A.2 Laguerre Polynomials -- A.3 Bessel Functions -- A.4 Whittaker Functions, Coulomb Functions -- References.
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After a brief review of quantum mechanics and a summary of conventional atomic theory, H. Friedrich discusses the structure of atomic spectra on the basis of quantum defect theory, which is treated for the first time at such a basic level in a textbook. Special attention is given to highly excited states and to the influence of external fields, which can cause intricate and interesting effects in seemingly simple systems. After a chapter on reaction theory the final chapter treats special topics such as multiphoton absorption and chaos. The book contains the kind of advanced quantum mechanics needed for practical applications in modern atomic physics. The presentation is kept deliberately simple and avoids abstract formalism as far as possible.