## Quantum evolution: an introduction to time-dependent quantum mechanicsA unique introduction to the concepts of quantum mechanics, Quantum Evolution addresses the present status of time-dependent quantum mechanics for few-body systems with electromagnetic interactions. It bridges between the quantum mechanics of stationary quantum systems and a number of recent advanced theoretical treatises on various aspects of quantum mechanics. The focus is on strongly-quantum and semi-classical systems, including the quantum manifestations of orderly and chaotic nonlinear classical dynamics. |

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### Contents

Quantum Collapse and Revivals | 41 |

Further Topics in Classical Theory | 71 |

Classically Integrable Quantum Systems | 87 |

Copyright | |

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action action-angle variables adiabatic American Physical Society amplitude approximation barrier basis-set expansion billiards chaotic chirp constant Copyright corresponding coupling crossing curves defined dependence dissociation driven Morse dynamical eigenvalues electric field energy eigenstates energy levels excited Figure Floquet frequency function Gaussian wavepacket grid Hamilton's equations Hamiltonian Henon-Heiles hydrogen atom integrable systems irregular laser pulse librational linear Lyapunov exponents magnetic field matrix elements method molecule momentum Morse oscillator motion nanostructure nonintegrable systems nonlinear resonance obtained packet panel parameter particle path integral pendulum periodic orbit phase space Poincare section population inversion probability distribution propagation quantity quantization quantum evolution quantum mechanics quantum number quantum system quasienergy regime region regular representation rotational scaled Schrodinger equation semiclassical separatrix shown in Fig solution spatial spectral spectrum stochastic layer theory time-dependent tori torus tunneling undriven unstable fixed point unstable periodic orbit values variables vector vibrational wavefunction wavepacket wavepacket evolution zero