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of 364
pro vyhledávání: '"Wlodzimierz, M."'
Autor:
Tulczyjew, Wlodzimierz M.
A conceptual framework for variational formulations of physical theories is proposed. Such a framework is displayed here just for statics, but it is designed to be subsequently adapted to variational formulations of static field theories and dynamics
Externí odkaz:
http://arxiv.org/abs/2009.07085
Autor:
DĄBROWSKI, STANISŁAW
Publikováno v:
The Polish Review, 1980 Jan 01. 25(1), 112-114.
Externí odkaz:
https://www.jstor.org/stable/25777733
Akademický článek
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We describe the geometric structures involved in the variational formulation of physical theories. In presence of these structures, the constitutive set of a physical system can be generated by a family of functions. We discuss conditions, under whic
Externí odkaz:
http://arxiv.org/abs/1006.4183
Autor:
Tulczyjew, Wlodzimierz M.
It is widely believed that statistical interpretation of quantum mechanics requires that density operators representing quantum states be normalized. We present a description of selective measurements in terms of density operators. The description is
Externí odkaz:
http://arxiv.org/abs/0711.2258
Publikováno v:
Rept.Math.Phys.58:147-164,2006
In this paper we continue our analysis of a formulation of electrodynamics fully covariant under the full Poincar\'e group. Transformations under the four different components of the group force on us the introduction of particles, either in the iden
Externí odkaz:
http://arxiv.org/abs/0708.3634
Publikováno v:
Rept.Math.Phys.56:209-248,2005
An analysis of the concept of orientation used in electrodynamics is presented. At least two different versions are encountered in the literature. Both are clearly identified and comparisons are made.
Comment: 33 pages
Comment: 33 pages
Externí odkaz:
http://arxiv.org/abs/0708.3543
Publikováno v:
Int. J. Geom. Methods Mod. Phys. 6 (2009), 173-200
We present a variational formulation of electrodynamics using de Rham even and odd differential forms. Our formulation relies on a variational principle more complete than the Hamilton principle and thus leads to field equations with external sources
Externí odkaz:
http://arxiv.org/abs/0704.0433
Publikováno v:
Rep. Math. Phys. 58 (2006), 335-350.
Variational formulations of statics and dynamics of mechanical systems controlled by external forces are presented as examples of variational principles.
Comment: 17 pages, corrected typos, accepted for publication in Rep. Math. Phys
Comment: 17 pages, corrected typos, accepted for publication in Rep. Math. Phys
Externí odkaz:
http://arxiv.org/abs/math-ph/0607013
Autor:
Tulczyjew, Wlodzimierz M.
Publikováno v:
A. Ashtekar et al. (eds), REvisiting the Foundations of Relativistic Physics, 403-419, 2003 Kluwer Academic Publishers
We propose a new description of dynamics of autonomous mechanical systems which includes the momentum-velocity relation. This description is formulated as a variational principle of virtual action more complete than the Hamilton Principle. The inclus
Externí odkaz:
http://arxiv.org/abs/math-ph/0604070