1 citations · 2 across the 7 of their papers we have counts for
19 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…
Noether conservation laws in quantum mechanics
G. Sardanashvily
Being quantized, conserved Noether symmetry functions are represented by Hermitian operators in the space of solutions of the Schrodinger equation, and their mean values are conser…
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…
Recursion operators between degenerate Poisson structures
G. Sardanashvily
Two degenerate Poisson structures of the same rank possess a recursion operator if and only if their characteristic distributions coincide.
The bracket and the evolution operator in covariant Hamiltonian field theory
G. Sardanashvily
No bracket determines the evolution operator in covariant (polysymplectic and multisymplectic) Hamiltonian field theory.