14 citations · 18 across the 8 of their papers we have counts for
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math-ph2005
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.…
math-ph2005★ 1 cited
Reduction and Unfolding for Quantum Systems: the Hydrogen Atom
A. D'Avanzo, G. Marmo, A. Valentino
In this paper we propose a ``quantum reduction procedure'' based on the reduction of algebras of differential operators on a manifold. We use these techniques to show, in a systema…
math-ph2004
Reduction and unfolding: the Kepler problem
Antonella D'Avanzo, Giuseppe Marmo
In this paper we show, in a systematic way, how to relate the Kepler problem to the isotropic harmonic oscillator. Unlike previous approaches, our constructions are carried over in…