6 citations · 8 across the 5 of their papers we have counts for
5 papers
Polysymplectic Hamiltonian formalism and some quantum outcomes
G. Giachetta, L. Mangiarotti, G. Sardanashvily
Covariant (polysymplectic) Hamiltonian field theory is formulated as a particular Lagrangian theory on a polysymplectic phase space that enables one to quantize it in the framework…
Geometric and Algebraic Topological Methods in Quantum Mechanics
G. Giachetta, L. Mangiarotti, G. Sardanashvily
In the last decade, the development of new ideas in quantum theory, including geometric and deformation quantization, the non-Abelian Berry factor, super- and BRST symmetries, non-…
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…
Lagrangian symmetries and supersymmetries depending on derivatives. Conservation laws and cohomology
G. Giachetta, L. Mangiarotti, G. Sardanashvily
Motivated by BRST theory, we study generalized symmetries and supersymmetries depending on derivatives of dynamic variables in a most general setting. We state the first variationa…
Generalized Lagrangian symmetries depending on higher order derivatives. Conservation laws and the characteristic equation
G. Giachetta, L. Mangiarotti, G. Sardanashvily
Given a finite order Lagrangian L on a fibre bundle, its global generalized symmetries depending on higher order derivatives of dynamic variables are considered. The first variatio…