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https://repositorio.ufba.br/handle/ri/8489
metadata.dc.type: | Artigo de Periódico |
Title: | Galilei-covariant path-integral quantization of non-relativistic complex scalar fields |
Other Titles: | Annals of Physics |
Authors: | Abreu, Luciano Melo Montigny, M. de Khanna, Faqir C. Santana, Ademir Eugênio de |
metadata.dc.creator: | Abreu, Luciano Melo Montigny, M. de Khanna, Faqir C. Santana, Ademir Eugênio de |
Abstract: | We consider the functional quantization of non-relativistic theories of complex scalar fields with Galilean covariance. We define the generating functionals and the Green s functions by utilizing the five-dimensional prescription of Galilean covariance. As an example, we consider the self-interacting scalar field with coupling term kjUj4 in two and three dimensions, and the non-linear Schr€odinger equation, having in mind applications to the phenomenon of Bose– Einstein condensation. Our calculations of scattering amplitudes in two dimensions agree with results found in the literature. |
Publisher: | Elservier |
URI: | http://www.repositorio.ufba.br/ri/handle/ri/8489 |
Issue Date: | 2003 |
Appears in Collections: | Artigo Publicado em Periódico (FIS) |
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1-s2.0-S0003491603001404-main.pdf Restricted Access | 250,75 kB | Adobe PDF | View/Open Request a copy |
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