Partial differential equations Equations of mathematical physics Concept
Gross–Pitaevskii equation
Summary
The Gross–Pitaevskii equation describes the ground state and the dynamics of a Bose–Einstein condensate. It is a nonlinear Schrödinger equation with a cubic term, which models the interaction between the particles, and an external trapping potential. Its unknown is a single complex wave function for the whole condensate. It can be derived from the many-body quantum mechanics of bosons in a suitable limit of many weakly interacting particles.
Further reading
About this page
| Tag | F5EAWFMC8A |
|---|---|
| URI | m2://F5EAWFMC8A |
| Kind | concept |
| Writing | W0 stub |
| MSC | 35Q55, 35Q40 |
| Specializes | Partial differential equation |
| Same as | |
| Changed | 2 November 2026 |
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