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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-ph2000
Quantum Jacobi fields in Hamiltonian mechanics
G. Giachetta, L. Mangiarotti, G. Sardanashvily
Jacobi fields of classical solutions of a Hamiltonian mechanical system are quantized in the framework of vertical-extended Hamiltonian formalism. Quantum Jacobi fields characteriz…