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29 papers · 1 filter
Symplectic forms invariant under free circle actions on 4--manifolds
Boguslaw Hajduk, Rafal Walczak
Let be a smooth compact manifold with a free circle action generated by a vector field Then for any invariant symplectic form on the contracted form is n…
Ergodic properties of the quantum geodesic flow on tori
Slawomir Klimek, Witold Kondracki
We study ergodic averages for a class of pseudodifferential operators on the flat N-dimensional torus with respect to the Schrödinger evolution. The later can be consider a quantiz…
Thermal effects in stretching of Go-like models of titin and secondary structures
Marek Cieplak, Trinh Xuan Hoang, Mark O. Robbins
The effect of temperature on mechanical unfolding of proteins is studied using a Go-like model with a realistic contact map and Lennard-Jones contact interactions. The behavior of…
Derivations of the Lie Algebras of Differential Operators
J. Grabowski, N. Poncin
This paper encloses a complete and explicit description of the derivations of the Lie algebra D(M) of all linear differential operators of a smooth manifold M, of its Lie subalgebr…
Adiabatic association of ultracold molecules via magnetic field tunable interactions
Krzysztof Goral, Thorsten Koehler, Simon A. Gardiner +2
We consider in detail the situation of applying a time dependent external magnetic field to a 87Rb atomic Bose-Einstein condensate held in a harmonic trap, in order to adiabaticall…
The upper bound on number of graphs, with fixed number of vertices, that vertices can be colored with n colors
Kamil Kulesza, Zbigniew Kotulski
In the paper we state and prove theorem describing the upper bound on number of the graphs that have fixed number of vertices |V| and can be colored with the fixed number of n colo…