Bose–Einstein condensate wave function and nonlinear Schrödinger equation
В. Б. БобровJoint Institute for High Temperatures, Russian Academy of Sciences, ul. Izhorskaya 13/19, Moscow, 127412, RussiaS. A. TriggerJoint Institute for High Temperatures, Russian Academy of Sciences, ul. Izhorskaya 13/19, Moscow, 127412, Russia
2016en
ABI
Annotatsiya
The nonlinear Schrödinger equation for the ground-state wave function of an inhomogeneous boson system is derived in the self-consistent Hartree–Fock approximation without the use of the formalism of anomalous averages. The results obtained correspond to the Gross–Pitaevskii equation for the Bose–Einstein condensate wave function when using the delta-shaped boson interaction potential.
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