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Quantized hydrodynamic model and the dynamic structure factor for a trapped Bose gas

Quantized hydrodynamic model and the dynamic structure factor for a trapped Bose gas

We quantize the recent hydrodynamic analysis of Stringari for the low-energy collective modes of a trapped Bose gas at $T=0$. This is based on the time-dependent Gross-Pitaevskii equation, but omits the kinetic energy of the density fluctuations. We diagonalize the hydrodynamic Hamiltonian in terms of the normal modes associated with …