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pro vyhledávání: '"Marek Kus"'
This by now classic text provides an excellent introduction to and survey of the still-expanding field of quantum chaos. For this long-awaited fourth edition, the original text has been thoroughly modernized.The topics include a brief introduction to
Autor:
Marek Kuś, Bartłomiej Skowron
The contributions gathered here demonstrate how categorical ontology can provide a basis for linking three important basic sciences: mathematics, physics, and philosophy. Category theory is a new formal ontology that shifts the main focus from object
Publikováno v:
Journal of Physics A: Mathematical and Theoretical. 40:423-431
We analyze an approach aiming at determining statistical properties of spectra of time-periodic quantum chaotic system based on the parameter dynamics of their quasienergies. In particular we show that application of the methods of statistical physic
Publikováno v:
International Journal of Sociology. 35:65-88
Social influence plays an important role in social transitions. The model of dynamic social influence is used to model social transitions. We assume that individuals communicate with a certain number of others to find out how much support each of the
Publikováno v:
Journal of Physics A: Mathematical and General. 36:3425-3450
An ensemble of random unistochastic (orthostochastic) matrices is defined by taking squared moduli of elements of random unitary (orthogonal) matrices distributed according to the Haar measure on U(N) (or O(N), respectively). An ensemble of symmetric
Publikováno v:
Journal of Geometry and Physics. 37:156-168
We consider a mathematical context which was suggested by quantum mechanical considerations of level dynamics. Although the situation is a general one, we restrict our attention to certain examples of physical relevance where explicit calculations ar
Autor:
Marek Kus, Andrzej Okninski
Publikováno v:
Journal of Physics A: Mathematical and General. 33:8917-8927
Classical linear maps associated with quantum maps are investigated. It is demonstrated that with the help of SU(n) coherent states, SU(n) tensors fulfilling nonlinear identities can be constructed. Nonlinear maps which evolve like linear maps if ini
Publikováno v:
Journal of Physics A: Mathematical and General. 33:143-161
Hamiltonians built of SU 3 generators are presented which allow for qualitatively different classical limits. The generators of the group SU 3 give eight independent observables. In the classical limit two invariant functions of these observables, th
Autor:
Sven Gnutzmann, Marek Kus
Publikováno v:
Journal of Physics A: Mathematical and General. 31:9871-9896
We give an explicit construction of the coherent states for an arbitrary irreducible representation. We also construct the symplectic structure on the manifold of coherent states, find canonical variables and discuss various classical limits of quant
Autor:
Leszek Sirko, Marek Kus
Publikováno v:
Journal of Physics B: Atomic, Molecular and Optical Physics. 31:4581-4588
We examine the ionization of highly excited hydrogen atoms by a linearly polarized microwave field quantum mechanically and classically. We investigate the role of classical phase-space resonances on the process of ionization and quantum mechanical i