35 citations · 421 across the 77 of their papers we have counts for
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Geometric quantization of mechanical systems with time-dependent parameters
G. Giachetta, L. Mangiarotti, G. Sardanashvily
Quantum systems with adiabatic classical parameters are widely studied, e.g., in the modern holonomic quantum computation. We here provide complete geometric quantization of a Hami…
The covariant Lyapunov tensor and the Lyapunov stability with respect to time-dependent Riemannian metrics
G. Sardanashvily
We show that any solution of a smooth first order dynamic equation can be made Lyapunov stable at will by the choice of an appropriate time-dependent Riemannian metric.
Geometric quantization of symplectic foliations
G. Sardanashvily
Geometric quantization of a Poisson manifold need not imply quantization of its symplectic leaves. We provide the leafwise geometric quantization of a Poisson manifold, seen as a f…
Cohomology of the variational complex in BRST theory
G. Sardanashvily
We show that cohomology of the variational complex in field-antifield BRST theory on an arbitrary manifold is equal to the de Rham cohomology of this manifold.
Remark on the Serre-Swan theorem for non-compact manifolds
G. Sardanashvily
The Serre-Swan theorem provides the link between projective modules of finite rank and vector bundles over compact manifolds, and plays a prominent role in non-commutative geometry…