Legendre transformation for regularizable Lagrangians in field theory

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dc.creatorKrupkova, Olga
dc.creatorSmetanova, Dana
dc.date2001-11-01
dc.date.accessioned2026-07-25T22:17:15Z
dc.descriptionHamilton equations based not only upon the Poincare--Cartan equivalent of a first-order Lagrangian, but rather upon its Lepagean equivalent are investigated. Lagrangians which are singular within the Hamilton--De Donder theory, but regularizable in this generalized sense are studied. Legendre transformation for regularizable Lagrangians is proposed, and Hamilton equations, equivalent with the Euler--Lagrange equations, are found. It is shown that all Lagrangians affine or quadratic in the first derivatives of the field variables are regularizable. The Dirac field and the electromagnetic field are discussed in detail.
dc.descriptionPreprint Series in Global Analysis, GA 18/2000 A, Mathematical Institute of the Silesian University in Opava, Opava, Czech Republic
dc.identifierhttps://arxiv.org/abs/math-ph/0111004
dc.identifierhttp://arxiv.org/abs/math-ph/0111004
dc.identifierLett.Math.Phys. 58 (2001) 189-204
dc.identifier.urihttps://dspace.dare.co.zw/handle/123456789/87603
dc.subjectMathematical Physics
dc.subject70G50;58Z05
dc.titleLegendre transformation for regularizable Lagrangians in field theory
dc.typetext

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