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10 papers · 2 filters
Gradient and GENERIC evolution towards reduced dynamics
Miroslav Grmela, Vaclav Klika, Michal Pavelka
Let (M,J) be a dynamical model of macroscopic systems and (N,K) a less microscopic model (i.e. a model involving less details) of the same macroscopic systems; M and N are manifold…
Effective quantum dynamics on the Möbius strip
Tomáš Kalvoda, David Krejcirik, Katerina Zahradova
The Laplace-Beltrami operator in the curved Möbius strip is investigated in the limit when the width of the strip tends to zero. By establishing a norm-resolvent convergence, it is…
Nested Bethe Ansatz for RTT Algebra of U_q(sp(2n) Type
C. Burdik, O. Navratil
We study the highest weight representations of the RTT algebras for the R matrix of sp_q(2n) type by the nested algebraic Bethe ansatz. It is a generalization of our study for R ma…
Classical Superintegrable Systems in a Magnetic Field that Separate in Cartesian Coordinates
Antonella Marchesiello, Libor Šnobl
We consider superintegrability in classical mechanics in the presence of magnetic fields. We focus on three-dimensional systems which are separable in Cartesian coordinates. We con…
Cylindrical type integrable classical systems in a magnetic field
Felix Fournier, Libor Šnobl, Pavel Winternitz
We present all second order classical integrable systems of the cylindrical type in a three dimensional Euclidean space with a nontrivial magnetic field. The Hamilto…
Real spinors and real Dirac equation
Vaclav Zatloukal
We reexamine the minimal coupling procedure in the Hestenes' geometric algebra formulation of the Dirac equation, where spinors are identified with the even elements of the real Cl…