Email this article Bose–Einstein condensate wave function and nonlinear Schrödinger equation
- Authors: Bobrov V.B.1,2, Trigger S.A.1,3
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Affiliations:
- Joint Institute for High Temperatures
- National Research University “Moscow Power Engineering Institute”
- Prokhorov General Physics Institute
- Issue: Vol 43, No 9 (2016)
- Pages: 266-269
- Section: Article
- URL: https://journals.rcsi.science/1068-3356/article/view/228050
- DOI: https://doi.org/10.3103/S1068335616090025
- ID: 228050
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Abstract
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.
About the authors
V. B. Bobrov
Joint Institute for High Temperatures; National Research University “Moscow Power Engineering Institute”
Author for correspondence.
Email: satron@mail.ru
Russian Federation, ul. Izhorskaya 13/19, Moscow, 127412; ul. Krasnokazarmennaya 14, Moscow, 111250
S. A. Trigger
Joint Institute for High Temperatures; Prokhorov General Physics Institute
Email: satron@mail.ru
Russian Federation, ul. Izhorskaya 13/19, Moscow, 127412; ul. Vavilova 38, Moscow, 119991
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