35 citations · 421 across the 77 of their papers we have counts for
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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…
math-ph2000★ 1 cited
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.
quant-ph2000★ 28 cited
Quantum mechanics with time-dependent parameters
G. Sardanashvily
Smooth composite bundles provide the adequate geometric description of classical mechanics with time-dependent parameters. We show that the Berry's phase phenomenon is described in…