## Quantum Dynamics of Simple Systems: Proceedings of the Forty Fourth Scottish Universities Summer School in Physics, Stirling, August 1994The present level of experimental sophistication in quantum physics allows physicists to explore domains unimaginable just a decade ago and to test the most fundamental laws of quantum mechanics. This has led to renewed interest in devising new tests, experiments, and devices where it is possible to observe the interaction and localization of just a few atoms or photons. These techniques have been used to reveal new nonclassical effects, to question the limit of the principle of correspondence, and to force quantum behavior in semiconductors. With contributions from leading experts in quantum systems, Quantum Dynamics of Simple Systems provides an overview of the present range of quantum dynamics, exploring their use and exotic behaviors. It covers specific subjects of quantum dynamics in a competent and detailed way with emphasis on simple systems where few atoms or electrons are involved. This volume will prove to be a useful tool for graduate students as well as experienced physicists. |

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### Contents

Introduction to models on constant negative curvature surfaces | 1 |

Eugene B Bogomolny 1 | 47 |

Coherent interactions of two trapped ions | 71 |

Twophoton decay of metastable atomic hydrogen and Bells inequality | 87 |

Quantum localisation | 115 |

Studies of fundamental interactions using molecules | 153 |

Quantum fluctuations and applications of squeezed light | 183 |

### Common terms and phrases

absorption adiabatic amplitude angle angular momentum approximation atom axis beam behaviour Bell's inequality Bose calculate classical coherent computed constant correlation corresponding coupling decay defined density matrix depends described detection diffusion dipole discussed distribution dynamics Eext effect eigenstates eigenvalues electric field electron emission energy ensemble evaporative cooling evolution excited exciton experiment experimental Fock frequency fundamental domain Hamiltonian hydrogen initial integral interaction kicked rotor laser linear polariser localisation length magnetic master equation measurement mode molecule motion nuclear obtain operator optical oscillator parameter particle periodic orbits phase space photon photon number Phys Rev Lett Physics plane potential problem pulse quantum chaos quantum jumps quantum mechanical resonance result Schrödinger equation Section Selberg Zeta function shift shown in Figure ſº spin superposition temperature theory trajectory transformation transition trap truncation two-photon University of Strathclyde vector wave wavefunction Wigner function zero