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Born approximation in the problem of the rigorous derivation of the Gross-Pitaevskii equation

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dc.contributor.author Michelangeli, Alessandro en_US
dc.date.accessioned 2006-04-18T13:24:52Z en_US
dc.date.accessioned 2011-09-07T20:27:39Z
dc.date.available 2006-04-18T13:24:52Z en_US
dc.date.available 2011-09-07T20:27:39Z
dc.date.issued 2006-04-18T13:24:52Z en_US
dc.identifier.uri http://preprints.sissa.it/xmlui/handle/1963/1819 en_US
dc.description.abstract "It has a flavour of Mathematical Physics..."With these words, just few years ago, prof. Di Giacomo used to introduce the topic of the Born approximation within a nonrelativistic potential theory, in his `oversize' course of Theoretical Physics in Pisa. Something maybe too fictitious inside the formal theory of the scattering he was teaching us at that point of the course. Now that I'm (studying to become) a Mathematical Physicist indeed, dealing with such an `exotic tasting' topic, those words come back to the mind, into a new perspective. Here the very recent problem of the rigorous derivation of the cubic nonlinear Schrödinger equation (the Gross-Pitaevskiî equation) is reviewed and discussed, with respect to the role of the Born approximation that one ends up with in an appropriate scaling limit en_US
dc.format.extent 154961 bytes en_US
dc.format.mimetype application/pdf en_US
dc.language.iso en_US en_US
dc.relation.ispartofseries SISSA;13/2006/FM en_US
dc.title Born approximation in the problem of the rigorous derivation of the Gross-Pitaevskii equation en_US
dc.type Preprint en_US
dc.contributor.department Mathematical Physics en_US
dc.contributor.area Mathematics en_US


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