## Chaos in Atomic PhysicsThe study of chaos is today one of the most active and prolific areas in atomic physics. This book describes the manifestations of chaos in atoms and molecules, and is an introduction to this fascinating area. The first part of the book deals with the theory and principles of classical chaos, which are then applied to actual atomic and molecular physics systems in the second part of the book. The book covers microwave-driven surface state electrons, the hydrogen atom in a strong microwave field, the kicked hydrogen atom, chaotic scattering with CsI molecules and the helium atom. The book contains many diagrams and a detailed reference list. |

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### Contents

tools and concepts | 29 |

Chaos in classical mechanics | 64 |

Chaos in quantum mechanics | 83 |

paradigm of chaos | 117 |

Microwavedriven surface state electrons | 150 |

The hydrogen atom in a strong microwave field | 181 |

The kicked hydrogen atom | 203 |

Chaotic scattering with Csl molecules | 216 |

The helium atom | 240 |

296 | |

313 | |

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### Common terms and phrases

according analytical angle angular momentum approximation atomic and molecular atomic physics baker's map behaviour Bliimel calculations Cantor Cantor set chaotic scattering Chapter classical chaos classical mechanics complex computed continuum control parameter Csl molecule decay defined discussed in Section double pendulum energy levels equations of motion Ericson regime experimental exponential field strength fixed points fractal frequency given Hamiltonian helium atom hydrogen Rydberg atoms initial conditions ionization ionization thresholds iterates kicked hydrogen atom level density logistic map Lyapunov exponent matrix elements method microwave field microwave ionization microwave-driven obtain overlap particle periodic orbits phase phase-space potential prediction problem quantization quantum chaos quantum kicked rotor quantum mechanics quantum numbers quantum systems resonances result rotation Rydberg atoms scaled scattering singularities scattering system semiclassical sequence shift map shown in Fig shows space spectrum SSE system Sturmian surface state electrons symmetry theory tion trace formula trajectory transformation variables wave functions width Wigner Wintgen