Summary
The sine-Gordon equation ϕ xx −ϕ xx =m 2 sinϕ is considered as a model one-dimensional classical field theory with particlelike solutions. The model has applications in many branches of physics and gives an exact description of the interaction of an arbitrary number of elementary particles and bound-state composite particles.
Riassunto
Si considera l’equazione di Gordon del seno ϕ xx −ϕ xx =m 2 sinϕ come una teoria di campo modello, classica, in una dimensione con soluzioni tipo particelle. Il modello trova applicazioni in molti rami della fisica e dà una descrizione esatta dell’interazione fra un numero arbitrario di particelle elementari e particelle composite nello stato legato.
Резюме
Синусоидальное уравнение Гордона ϕ xx −ϕ xx =m 2 sinϕ рассматривается как модель одномерной классической теории поля с частично-подобными решениями. Эта модель применяется во многих разделах физики и дает точное описание взаимодействия произвольного числа элементарных частиц и связанного состояния составных частиц.
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Address after 1st October 1974: Department of Mathematics, UMIST, Manchester, m60 1QD.
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Caudrey, P.J., Eilbeck, J.C. & Gibbon, J.D. The sine-Gordon equation as a model classical field theory. Nuov Cim B 25, 497–512 (1975). https://doi.org/10.1007/BF02724733
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DOI: https://doi.org/10.1007/BF02724733