35 citations · 421 across the 77 of their papers we have counts for
Showing 2002 · quant-phShow all
2 papers · 2 filters
quant-ph2002
Non-adiabatic holonomy operators in classical and quantum completely integrable systems
G. Giachetta, L. Mangiarotti, G. Sardanashvily
Given a completely integrable system, we associate to any connection on its invariant tori fibred over a parameter manifold the classical and quantum holonomy operator (generalized…
quant-ph2002★ 12 cited
Geometric quantization of time-dependent completely integrable Hamiltonian systems
E. Fiorani, G. Giachetta, G. Sardanashvily
A time-dependent completely integrable Hamiltonian system is quantized with respect to time-dependent action-angle variables near an instantly compact regular invariant manifold. I…