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11 papers · 1 filter
Cohomology of graded Lie algebras of maximal class
Alice Fialowski, Dmitri V. Millionschikov
We compute the cohomology with trivial coefficients of two graded infinite-dimensional Lie algebras of maximal class, give explicit formulas for their representative cocycles. Also…
Entanglement in the XX spin chain with an energy current
V. Eisler, Z. Zimboras
We consider the ground state of the XX chain that is constrained to carry a current of energy. The von Neumann entropy of a block of neighboring spins, describing entanglement…
Holomorphic DIffeomorphisms of Semisimple Homogeneous Spaces
Arpad Toth, Dror Varolin
The density property for a Stein manifold X implies that the group of holomorphic diffeomorphisms of X is infinite-dimensional and, in a certain well-defined sense, as large as pos…
Topological Navigation of Simulated Robots using Occupancy Grid
Richard Szabo
Formerly I presented a metric navigation method in the Webots mobile robot simulator. The navigating Khepera-like robot builds an occupancy grid of the environment and explores the…
Static properties and spin dynamics of the ferromagnetic spin-1 Bose gas in magnetic field
Krisztian Kis-Szabo, Peter Szepfalusy, Gergely Szirmai
Properties of spin-1 Bose gases with ferromagnetic interaction in the presence of a nonzero magnetic field are studied. The equation of state and thermodynamic quantities are worke…
Electronic and spin properties of Rashba billiards
József Cserti, András Csordás, Ulrich Zülicke
Ballistic electrons confined to a billiard and subject to spin--orbit coupling of the Rashba type are investigated, using both approximate semiclassical and exact quantum--mechanic…