1 citations · 1 across the 3 of their papers we have counts for
8 papers
Lagrangian symmetries and supersymmetries depending on derivatives. Global analysis
G. Giachetta, L. Mangiarotti, G. Sardanashvily
Generalized symmetries and supersymmetries depending on derivatives of dynamic variables are treated in a most general setting. Studding cohomology of the variational bicomplex, we…
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…
A note on the KAM theorem for partially integrable Hamiltonian systems
G. Giachetta, L. Mangiarotti, G. Sardanashvily
We provide a symplectic reduction of a partially integrable Hamiltonian system to a completely integrable one. The KAM theorem is applied to this reduced completely integrable Hami…
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…
On the obstruction to the exactness of the variational bicomplex
G. Giachetta, L. Mangiarotti, G. Sardanashvily
We study the obstruction to the exactness of the variational complex for a field theory on an affine bundle.
Energy-Momentum and Gauge Conservation Laws
G. Giachetta, L. Mangiarotti, G. Sardanashvily
We treat energy-momentum conservation laws as particular gauge conservation laws when generators of gauge transformations are horizontal vector fields on fibre bundles. In particul…