262 citations · 2k across the 46 of their papers we have counts for
6 papers · 1 filter
Groupoids and the tomographic picture of quantum mechanics
A. Ibort, V. I. Manko, G. Marmo +2
The existing relation between the tomographic description of quantum states and the convolution algebra of certain discrete groupoids represented on Hilbert spaces will be discusse…
Realization of associative products in terms of Moyal and tomographic symbols
A. Ibort, V. I. Man'ko, G. Marmo +3
The quantizer-dequantizer method allows to construct associative products on any measure space. Here we consider an inverse problem: given an associative product is it possible to…
On the tomographic description of classical fields
A. Ibort, A. Lopez-Yela, V. I. Man'ko +4
After a general description of the tomographic picture for classical systems, a tomographic description of free classical scalar fields is proposed both in a finite cavity and the…
Quantum Bi-Hamiltonian systems, alternative Hermitian structures and Bi-Unitary transformations
G. Marmo, G. Scolarici, A. Simoni +1
We discuss the dynamical quantum systems which turn out to be bi-unitary with respect to the same alternative Hermitian structures in a infinite-dimensional complex Hilbert space.…
Classical and Quantum Systems: Alternative Hamiltonian Descriptions
G. Marmo, G. Scolarici, A. Simoni +1
In complete analogy with the classical situation (which is briefly reviewed) it is possible to define bi-Hamiltonian descriptions for Quantum systems. We also analyze compatible He…
Alternative structures and bi-Hamiltonian systems on a Hilbert space
G. Marmo, G. Scolarici, A. Simoni +1
We discuss transformations generated by dynamical quantum systems which are bi-unitary, i.e. unitary with respect to a pair of Hermitian structures on an infinite-dimensional compl…