Zobrazeno 1 - 10
of 22
pro vyhledávání: '"ROŻKO, E. E."'
Publikováno v:
Mathematical Methods in the Applied Sciences 35 (2012), 17-42
Discussed are some geometric aspects of the phase space formalism in quantum mechanics in the sense of Weyl, Wigner, Moyal and Ville. We analyze the relationship between this formalism and geometry of the Galilei group, classical momentum mapping, th
Externí odkaz:
http://arxiv.org/abs/1012.5768
The purpose of this publication is to derive and discuss equations of motion of affinely rigid (homogeneously deformable) body moving in Euclidean space of general dimension $n$. Our aim is to present some analytical methods and to discuss geometric
Externí odkaz:
http://arxiv.org/abs/1012.4926
Publikováno v:
Journal of Geometry and Symmetry in Physics, vol. 23, 2011, pp. 59-95
This is the third part of our series "Quasiclassical and Quantum Systems of Angular Momentum". In two previous parts we have discussed the methods of group algebras in formulation of quantum mechanics and certain quasiclassical problems. Below we spe
Externí odkaz:
http://arxiv.org/abs/1008.3074
Publikováno v:
Journal of Geometry and Symmetry in Physics, vol. 22, 2011, pp. 67-94
In Part I of this series we presented the general ideas of applying group-algebraic methods for describing quantum systems. The treatment was there very "ascetic" in that only the structure of a locally compact topological group was used. Below we ex
Externí odkaz:
http://arxiv.org/abs/1008.0512
Publikováno v:
Journal of Geometry and Symmetry in Physics, vol. 21, 2011, pp. 61-94
We use the mathematical structure of group algebras and $H^{+}$-algebras for describing certain problems concerning the quantum dynamics of systems of angular momenta, including also the spin systems. The underlying groups are ${\rm SU}(2)$ and its q
Externí odkaz:
http://arxiv.org/abs/1007.4121
Publikováno v:
Acta Physica Polonica B, vol. 41, no. 1, 2010, pp. 165-218
Discussed is the structure of classical and quantum excitations of internal degrees of freedom of multiparticle objects like molecules, fullerens, atomic nuclei, etc. Basing on some invariance properties under the action of isometric and affine trans
Externí odkaz:
http://arxiv.org/abs/0901.0243
Publikováno v:
Prace IPPT - IFTR Reports, 8, 2006, 129 p.
Presented is description of kinematics and dynamics of material points with internal degrees of freedom moving in a Riemannian manifold. The models of internal degrees of freedom we concentrate on are based on the orthogonal and affine groups. Roughl
Externí odkaz:
http://arxiv.org/abs/0802.3115
Autor:
Sławianowski, J. J., Kovalchuk, V., Sławianowska, A., Gołubowska, B., Martens, A., Rożko, E. E., Zawistowski, Z. J.
Publikováno v:
Reports on Mathematical Physics, vol. 55, no. 1, 2005, pp. 1--45.
Discussed is the quantized version of the classical description of collective and internal affine modes as developed in Part I. We perform the Schr\"odinger quantization and reduce effectively the quantized problem from $n^{2}$ to $n$ degrees of free
Externí odkaz:
http://arxiv.org/abs/0802.3028
Autor:
Sławianowski, J. J., Kovalchuk, V., Sławianowska, A., Gołubowska, B., Martens, A., Rożko, E. E., Zawistowski, Z. J.
Publikováno v:
Reports on Mathematical Physics, vol. 54, no. 3, 2004, pp. 373--427.
Discussed is a model of collective and internal degrees of freedom with kinematics based on affine group and its subgroups. The main novelty in comparison with the previous attempts of this kind is that it is not only kinematics but also dynamics tha
Externí odkaz:
http://arxiv.org/abs/0802.3027
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