k-Cosymplectic Classical Field Theories: Tulczyjew and Skinner–Rusk Formulations
نویسندگان
چکیده
منابع مشابه
k-Cosymplectic Classical Field Theories: Tulckzyjew, Skinner-Rusk and Lie algebroid formulations
The k-cosymplectic Lagrangian and Hamiltonian formalisms of first-order field theories are reviewed and completed. In particular, they are stated for singular and almost-regular systems. Subsequently, several alternative formulations for k-cosymplectic first-order field theories are developed: First, generalizing the construction of Tulczyjew for mechanics, we give a new interpretation of the c...
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The k-cosymplectic Lagrangian and Hamiltonian formalisms of first-order field theories are reviewed and completed. In particular they are stated for singular almost-regular systems. After that, both formalisms are unified by giving an extension of the Skinner-Rusk formulation on classical mechanics for first-order field theories. M.S. Classification (2000): 70S05, 53D05, 53Z05
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Interesting non-linear functions on the phase spaces of classical field theories can never be quantized immediately because the basic fields of the theory become operator valued distributions. Therefore, one is usually forced to find a classical substitute for such a function depending on a regulator which is expressed in terms of smeared quantities and which can be quantized in a well-defined ...
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ژورنال
عنوان ژورنال: Mathematical Physics, Analysis and Geometry
سال: 2012
ISSN: 1385-0172,1572-9656
DOI: 10.1007/s11040-012-9104-z