11 citations · 21 across the 7 of their papers we have counts for
11 papers · 1 filter
Liouville structures
W. M. Tulczyjew, P. Urbanski
A 'Liouville structure' is a structure isomorphic to a cotangent vector fibration. A Liouville structure is an essential ingredient of every variational formulation of a physical t…
Density operators and selective measurements
Wlodzimierz M. Tulczyjew
It is widely believed that statistical interpretation of quantum mechanics requires that density operators representing quantum states be normalized. We present a description of se…
Time reflection and the dynamics of particles and antiparticles
Giuseppe Marmo, Wlodzimierz M. Tulczyjew
In this paper we continue our analysis of a formulation of electrodynamics fully covariant under the full Poincaré group. Transformations under the four different components of the…
Space-time orientations and Maxwell's equations
Giuseppe Marmo, Emanuele Parasecoli, Wlodzimierz M. Tulczyjew
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 c…
A variational formulation of electrodynamics with external sources
Antonio De Nicola, Wlodzimierz M. Tulczyjew
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 Hami…
Constitutive sets of convex static systems
Wlodzimierz Tulczyjew, Pawel Urbanski
The principle of virtual work for dissipative systems is stated. Partially controlled systems are discussed and the concept of a generating families of forms is introduced. The not…