artículo
SPECTRAL PROPERTIES OF A COUPLED SYSTEM OF SCHRODINGER EQUATIONS WITH TIME-PERIODIC COEFFICIENTS
Autor
Coimbra Charao, R.
Perla Menzala, G.
Angelica Astaburuaga, M.
Fernandez, Claudio
Institución
Resumen
We consider a coupled system of Schrodinger equations with time-periodic coefficients i u(t) = -Delta u + V(x, t)u + g(x, t)v i v(t) = -Delta v + W(x, t)v + g(x, t)u on the Hilbert space H = L(2)(R(n)) x L(2)(R(n)), where g, V and W are periodic time-dependent potentials, with period T. We denote by (U(t, s))((t, s)is an element of RxR) its associated propagator. By using a multiplier method, we rule out the existence of regular eigenvectors of the Floquet operator U(T, 0).