340 citations
- Institute of PhysicsPL76 papers
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12 papers · 1 filter
Jacobi structures on affine bundles
J. Grabowski, D. Iglesias, J. C. Marrero +2
We study affine Jacobi structures on an affine bundle , i.e. Jacobi brackets that close on affine functions. We prove that there is a one-to-one correspondence between af…
Ballistic expansion of a dipolar condensate
Stefano Giovanazzi, Axel Gorlitz, Tilman Pfau
We have studied the free expansion of a Bose condensate in which both the usual s-wave contact interaction and the dipole-dipole interaction contribute considerably to the total in…
Automorphisms of quantum and classical Poisson algebras
Janusz Grabowski, Norbert Poncin
We prove Pursell-Shanks type results for the Lie algebra D(M) of all linear differential operators of a smooth manifold M, for its Lie subalgebra D^1(M) of all linear first-order d…
Correlations and entanglement in probability theory
E. G. Beltrametti, S. Bugajski
We generalize the classical probability frame by adopting a wider family of random variables that includes nondeterministic ones. The frame that emerges is known to host a ''classi…
On characterization of Poisson and Jacobi structures
Janusz Grabowski, Pawel Urbanski
We characterize Poisson and Jacobi structures by means of complete lifts of the corresponding tensors: the lifts have to be related to canonical structures by morphisms of correspo…
Smooth or singular solutions to the Navier--Stokes system ?
Marco Cannone, Grzegorz Karch
The existence of singular solutions of the incompressible Navier-Stokes system with singular external forces, the existence of regular solutions for more regular forces as well as…