Bose–Einstein condensate wave function and nonlinear Schrödinger equation


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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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V. Bobrov

Joint Institute for High Temperatures; National Research University “Moscow Power Engineering Institute”

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俄罗斯联邦, ul. Izhorskaya 13/19, Moscow, 127412; ul. Krasnokazarmennaya 14, Moscow, 111250

S. Trigger

Joint Institute for High Temperatures; Prokhorov General Physics Institute

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俄罗斯联邦, ul. Izhorskaya 13/19, Moscow, 127412; ul. Vavilova 38, Moscow, 119991

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