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Thesis
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Introduction
Contents
Dilute Bose gas
Subsections
Introduction
Mean-field description: Gross-Pitaevskii equation
Dilute Bose gas
Gross-Pitaevskii equation
Ground state energy
Elementary excitations
Beyond mean-field: Bogoliubov theory
Bogoliubov Hamiltonian and elementary excitations
Ground state energy
Quantum depletion of the condensate
One-body density matrix
