48 citations · 79 across the 13 of their papers we have counts for
13 papers
Tunnel catch from potential wells and energy detection
M. V. Karasev, E. V. Vybornyi
We consider the one-dimensional Schrödinger operator in the semiclassical regime assuming that its double-well potential is the sum of a finite "physically given" well and a square…
Adiabatics using quantum action
M. Karasev
For slow--fast quantum systems, we compute first corrections to the quantum action and to the effective slow Hamiltonian.
Graphene as a quantum surface with curvature-strain preserving dynamics
M. V. Karasev
We discuss how the curvature and the strain density of the atomic lattice generate the quantization of graphene sheets as well as the dynamics of geometric quasiparticles propagati…
Quantum Geometry and Quantum Mechanics of Integrable Systems
M. V. Karasev
Quantum integrable systems and their classical counterparts are considered. We show that the symplectic structure and invariant tori of the classical system can be deformed by a qu…
Resonance Gyrons and Quantum Geometry
Mikhail Karasev
We describe irreducible representations, coherent states and star-products for algebras of integrals of motions (symmetries) of two-dimensional resonance oscillators. We demonstrat…
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…