Preface 1 Introduction 1.1 Bose-Einstein condensation in atomic clouds 1.2 Superfiuid 4He 1.3 Other condensates 1.4 Overview Problems References 2 The non-interacting Bose gas 2.1 The Bose distribution 2.1.1 Density of states 2.2 Transition temperature and condensate fraction 2.2.1 Condensate fraction 2.3 Density profile and velocity distribution 2.3.1 The semi-classical distribution 2.4 Thermodynamic quantities 2.4.1 Condensed phase 2.4.2 Normal phase 2.4.3 Specific heat close to Tc 2.5 Effect of finite particle number Problems References 3 Atomic properties 3.1 Atomic structure 3.2 The Zeeman effect 3.3 Response to an electric field 3.4 Energy scales Problems References 4 Trapping and cooling of atoms 4.1 Magnetic traps 4.1.1 The quadrupole trap 4.1.2 The TOP trap 4.1.3 Magnetic bottles and the Ioffe-Pritchard trap 4.1.4 Microtraps 4.2 Influence of laser light on an atom 4.2.1 Forces on an atom in a laser field 4.2.2 Opticaltraps 4.3 Laser cooling: the Doppler process 4.4 The magneto-optical trap 4.5 Sisyphus cooling 4.6 Evaporative cooling 4.7 Spin-polarized hydrogen Problems References 5 Interactions between atoms 5.1 Interatomic potentials and the van der Waals interaction 5.2 Basic scattering theory 5.2.1 Effective interactions and the scattering length 5.3 Scattering length for a model potential
5.4 Scattering between different internal states 5.4.1 Inelastic processes 5.4.2 Elastic scattering and Feshbach resonances 5.5 Determination of scattering lengths 5.5.1 Scattering lengths for alkali atoms and hydrogen Problems References 6 Theory of the condensed state 6.1 The Gross-Pitaevskii equation 6.2 The ground state for trapped bosons 6.2.1 A variational calculation 6.2.2 The Thomas-Fermi approximation 6.3 Surface structure of clouds 6.4 Healing of the condensate wave function …… 7 Dynamics of the condensate 8 Microscopic theory of the Bose gas 9 Rotating condensates 10 Superfluidity 11 Trapped clouds at non-zero temperature 12 Mixtures and spinor condensates 13 Interference and correlations 14 0ptical lattices 15 Lower dimensions 16 Fermions 17 From atoms to molecules
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