132 citations · 1.9k across the 101 of their papers we have counts for
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The Schroedinger operator in Newtonian space-time
Katarzyna Grabowska, Janusz Grabowski, Paweł Urbański
The Schroedinger operator on the Newtonian space-time is defined in a way which is independent on the class of inertial observers. In this picture the Schroedinger operator acts no…
Superposition rules, Lie theorem and partial differential equations
José F. Cariñena, Janusz Grabowski, Giuseppe Marmo
A rigorous geometric proof of the Lie's Theorem on nonlinear superposition rules for solutions of non-autonomous ordinary differential equations is given filling in all the gaps pr…
Quantum Bi-Hamiltonian Systems
José F. Cariñena, Janusz Grabowski, Giuseppe Marmo
We define quantum bi-Hamiltonian systems, by analogy with the classical case, as derivations in operator algebras which are inner derivations with respect to two compatible associa…
AV-differential geometry: Euler-Lagrange equations
Katarzyna Grabowska, Janusz Grabowski, PawełUrbański
A general, consistent and complete framework for geometrical formulation of mechanical systems is proposed, based on certain structures on affine bundles (affgebroids) that general…
Symmetries, group actions, and entanglement
Janusz Grabowski, Marek Kus, Giuseppe Marmo
We address several problems concerning the geometry of the space of Hermitian operators on a finite-dimensional Hilbert space, in particular the geometry of the space of density st…
Courant-Nijenhuis tensors and generalized geometries
Janusz Grabowski
Nijenhuis tensors on Courant algebroids compatible with the pairing are studied. This compatibility condition turns out to be of the form for irreducible Courant alg…