Title of article
A differential equations approach to Hamiltonian systems
Author/Authors
Fesser، نويسنده , , Dirk and Saller، نويسنده , , Dirk and Seiler، نويسنده , , Werner M.، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2002
Pages
15
From page
345
To page
359
Abstract
We present an intrinsic definition of a (possibly time-dependent) Hamiltonian differential equation as a submanifold of the first-order jet bundle over a fibred cosymplectic manifold. The equivalence of the standard constraint algorithm in mechanics to the completion procedure in differential equations theory is explicitly demonstrated. As an application, we study covariant classical mechanics. Finally, some problems with constraint algorithms in field theories are indicated.
Keywords
differential equation , Hamiltonian system , Jet bundle , formal integrability , cosymplectic manifold , Constraint , covariant classical mechanics , completion
Journal title
Reports on Mathematical Physics
Serial Year
2002
Journal title
Reports on Mathematical Physics
Record number
1584791
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