376 citations · 897 across the 41 of their papers we have counts for
Showing 2008 · math-phShow all
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math-ph2008★ 1 cited
Remarks on the GNS Representation and the Geometry of Quantum States
Dariusz Chruscinski, Giuseppe Marmo
It is shown how to introduce a geometric description of the algebraic approach to the non-relativistic quantum mechanics. It turns out that the GNS representation provides not only…
math-ph2008★ 1 cited
Classical tensors from quantum states
P. Aniello, G. Marmo, G. F. Volkert
The embedding of a manifold M into a Hilbert-space H induces, via the pull-back, a tensor field on M out of the Hermitian tensor on H. We propose a general procedure to compute the…
math-ph2008★ 3 cited
A symplectic realization of the Volterra lattice
M. A. Agrotis, P. A. Damianou, G. Marmo
We examine the multiple Hamiltonian structure and construct a symplectic realization of the Volterra model. We rediscover the hierarchy of invariants, Poisson brackets and master s…