92 citations · 100 across the 8 of their papers we have counts for
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math-ph2005★ 92 cited
Geometry of quantum systems: density states and entanglement
Janusz Grabowski, Marek Kuś, Giuseppe Marmo
Various problems concerning the geometry of the space $u^*(\cH)$ of Hermitian operators on a Hilbert space $\cH$ are addressed. In particular, we study the canonical Poisson and Ri…
math-ph1999
On Quantizing Nilpotent and Solvable Basic Algebras
Mark J. Gotay, Janusz Grabowski
We prove an algebraic ``no-go theorem'' to the effect that a nontrivial Poisson algebra cannot be realized as an associative algebra with the commutator bracket. Using this, we sho…