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Stochastic Gross-Pitaevskii Equation for the Dynamical Thermalization of Bose-Einstein Condensates

✍ Scribed by Savenko, I. G.; Liew, T. C. H.; Shelykh, I. A.


Book ID
120068326
Publisher
The American Physical Society
Year
2013
Tongue
English
Weight
498 KB
Volume
110
Category
Article
ISSN
0031-9007

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Derivation of the Gross-Pitaevskii hiera
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## Abstract Consider a system of __N__ bosons on the three‐dimensional unit torus interacting via a pair potential __N__^2^__V__(__N__(__x~i~__ − __x~j~__)) where x = (__x__~1~, …, __x~N~__) denotes the positions of the particles. Suppose that the initial data ψ~__N__, 0~ satisfies the condition w