Hamiltonian field theory revisited: A geometric approach to regularity

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F47813059%3A19610%2F01%3A00000068" target="_blank" >RIV/47813059:19610/01:00000068 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Result language
angličtina
Original language name
Hamiltonian field theory revisited: A geometric approach to regularity
Original language description
A reformulation and generalization of basic concepts such as Hamiltonian system, Hamilton equations, regularity, and Legendre transformation for variational systems on fibered manifolds, is presented. The theory is based on the concept of Lepagean (n+1)-form (where n is the dimension of the base manifold). Contrary to the standard approach, where Hamiltonian theory is related to a single Lagrangian, here a Hamiltonian system is associated with an Euler-Lagrange form, i.e., with the class of all equivalent Lagrangians. Hamilton equations are introduced to be equations for integral sections of an exterior differential system. Relations between extremals and solutions of Hamilton equations are studied in detail. New regularity conditions and Legendre transformation formulas are found a procedure of regularization of variational problems is proposed.
Czech name
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Czech description
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Publication year
2001
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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