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pro vyhledávání: '"Rożko, Ewa Eliza"'
In the present paper we have discussed the mechanics of incompressible test bodies moving in Riemannian spaces with non-trivial curvature tensors. For Hamilton's equations of motion the solutions have been obtained in the parametrical form and the sp
Externí odkaz:
http://arxiv.org/abs/2003.04140
Autor:
Sławianowski, Jan Jerzy, Kovalchuk, Vasyl, Gołubowska, Barbara, Martens, Agnieszka, Rożko, Ewa Eliza
Publikováno v:
Mathematical Methods in the Applied Sciences, Vol. 40, No. 18, pp. 6900-6918, 2017
In this paper we develope the main ideas of the quantized version of affinely-rigid (homogeneously deformable) motion. We base our consideration on the usual Schr\"odinger formulation of quantum mechanics in the configuration manifold which is given,
Externí odkaz:
http://arxiv.org/abs/1405.2688
Autor:
Rożko, Ewa Eliza, Gobcewicz, Ewa
Presented is a primary step towards quantization of infinitesimal rigid body moving in a two-dimensional manifold. The special stress is laid on spaces of constant curvature like the two-dimensional sphere and pseudosphere (Lobatschevski space). Also
Externí odkaz:
http://arxiv.org/abs/1402.5815
Autor:
Sławianowski, Jan Jerzy, Kovalchuk, Vasyl, Gołubowska, Barbara, Martens, Agnieszka, Rożko, Ewa Eliza
It is well known that there are various models of gravitation: the metrical Hilbert-Einstein theory, a wide class of intrinsically Lorentz-invariant tetrad theories (of course, generally-covariant in the space-time sense), and many gauge models based
Externí odkaz:
http://arxiv.org/abs/1304.0736
Autor:
Sławianowski, Jan Jerzy, Kovalchuk, Vasyl, Martens, Agnieszka, Gołubowska, Barbara, Rożko, Ewa Eliza
Publikováno v:
Mathematical Methods in the Applied Sciences, vol. 34, 2011, pp. 1512-1540
In the present paper we investigate the mechanics of systems of affinely-rigid bodies, i.e., bodies rigid in the sense of affine geometry. Certain physical applications are possible in modelling of molecular crystals, granular media, and other physic
Externí odkaz:
http://arxiv.org/abs/1010.3333
Autor:
Kovalchuk, Vasyl, Rożko, Ewa Eliza
Publikováno v:
Journal of Geometry and Symmetry in Physics, vol. 14, 2009, pp. 51-65.
The special interest is devoted to such situations when the material space of our object with affine degrees of freedom has generally lower dimension than the one of the physical space. In other words when we have the $m$-dimensional affinely-rigid b
Externí odkaz:
http://arxiv.org/abs/0902.3573
Autor:
Sławianowski, Jan Jerzy, Kovalchuk, Vasyl, Gołubowska, Barbara, Martens, Agnieszka, Rożko, Ewa Eliza
Publikováno v:
In Journal of Mathematical Analysis and Applications 1 February 2017 446(1):493-520
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