4 papers
Alternative Algebraic Structures from Bi-Hamiltonian Quantum Systems
G. Marmo, G. Scolarici, A. Simoni +1
We discuss the alternative algebraic structures on the manifold of quantum states arising from alternative Hermitian structures associated with quantum bi-Hamiltonian systems. We a…
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.…
The Quantum-Classical Transition: The Fate of the Complex Structure
G Marmo, G Scolarici, A Simoni +1
According to Dirac, fundamental laws of Classical Mechanics should be recovered by means of an "appropriate limit" of Quantum Mechanics. In the same spirit it is reasonable to enqu…
Geometrical Aspects of Lie Groups Representations and Their Optical Applications
J. Guerrero, V. I. Manko, G. Marmo +1
In this paper we present a new procedure to obtain unitary and irreducible representations of Lie groups starting from the cotangent bundle of the group (the cotangent group). We d…