5 citations · 8 across the 3 of their papers we have counts for
3 papers
math.QA2004
Noncommutative Algebras, Nano-Structures, and Quantum Dynamics Generated by Resonances
Mikhail Karasev
We observe ``quantum'' properties of resonance equilibrium points and resonance univariant submanifolds in the phase space. Resonances between Birkhoff or Floquet--Lyapunov frequen…
math.QA2003★ 5 cited
Intrinsic Dynamics of Manifolds: Quantum Paths, Holonomy, and Trajectory Localization
Mikhail Karasev
We consider an ``integral'' extension of the classical notion of affine connection providing a correspondence between paths in the manifold and diffeomorphisms of the manifold. The…
math.QA2003★ 3 cited
Intrinsic Dynamics of Symplectic Manifolds: Membrane Representation and Phase Product
Mikhail Karasev
On general symplectic manifolds we describe a correspondence between symplectic transformations and their phase functions. On the quantum level, this is a correspondence between un…