We consider the Schrödinger operator with a periodic potential on quasi-1D
models of zigzag single-wall carbon nanotubes. The spectrum of this operator
consists of an absolutely continuous part (intervals separated by gaps) plus an
infinite number of eigenvalues with infinite multiplicity. We describe all
compactly supported eigenfunctions with the same eigenvalue. We define a
Lyapunov function, w... hiện toàn bộ
We consider a quantum system constituted by N identical particles interacting by
means of a mean-field Hamiltonian. It is well known that, in the limit N → ∞,
the one-particle state obeys to the Hartree equation. Moreover, propagation of
chaos holds. In this paper, we take care of the $$\bar {h}$$ dependence by
considering the semiclassical expansion of the N-particle system. We prove that
each te... hiện toàn bộ