34 citations · 43 across the 9 of their papers we have counts for
24 papers
Quantum mechanics with respect to different reference frames
L. Mangiarotti, G. Sardanashvily
Geometric (Schrodinger) quantization of nonrelativistic mechanics with respect to different reference frames is considered. In classical nonrelativistic mechanics, a reference fram…
The KT-BRST complex of a degenerate Lagrangian system
D. Bashkirov, G. Giachetta, L. Mangiarotti +1
Quantization of a Lagrangian field system essentially depends on its degeneracy and implies its BRST extension defined by sets of non-trivial Noether and higher-stage Noether ident…
Noether's inverse second theorem in homology terms
G. Giachetta, L. Mangiarotti, G. Sardanashvily
A generic degenerate Lagrangian system of even and odd variables on an arbitrary smooth manifold is examined in terms of the Grassmann-graded variational bicomplex. Its Euler-Lagra…
Lagrangian and Hamiltonian dynamics of submanifolds
G. Giachetta, L. Mangiarotti, G. Sardanashvily
Submanifolds of a manifold are described as sections of a certain fiber bundle that enables one to consider their Lagrangian and (polysymplectic) Hamiltonian dynamics as that of a…
Noether's second theorem for BRST symmetries
D. Bashkirov, G. Giachetta, L. Mangiarotti +1
We present Noether's second theorem for graded Lagrangian systems of even and odd variables on an arbitrary body manifold X in a general case of BRST symmetries depending on deriva…
Noether's second theorem in a general setting. Reducible gauge theories
D. Bashkirov, G. Giachetta, L. Mangiarotti +1
We prove Noether's direct and inverse second theorems for Lagrangian systems on fiber bundles in the case of gauge symmetries depending on derivatives of dynamic variables of an ar…