515 citations · 4.7k across the 212 of their papers we have counts for
5 papers · 1 filter
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…
Wigner-Weyl isomorphism for quantum mechanics on Lie groups
N. Mukunda, G. Marmo, Alessandro Zampini +2
The Wigner-Weyl isomorphism for quantum mechanics on a compact simple Lie group is developed in detail. Several New features are shown to arise which have no counterparts in th…
Duality symmetry for star products
V. I. Man'ko, G. Marmo, P. Vitale
A duality property for star products is exhibited. In view of it, known star-product schemes, like the Weyl-Wigner-Moyal formalism, the Husimi and the Glauber-Sudarshan maps are re…
Global Theory of Quantum Boundary Conditions and Topology Change
M. Asorey, A. Ibort, G. Marmo
We analyze the global theory of boundary conditions for a constrained quantum system with classical configuration space a compact Riemannian manifold with regular boundary $Γ=\…
Courant algebroid and Lie bialgebroid contractions
Jose F. Carinena, Janusz Grabowski, Giuseppe Marmo
Contractions of Leibniz algebras and Courant algebroids by means of (1,1)-tensors are introduced and studied. An appropriate version of Nijenhuis tensors leads to natural deformati…