A classification of periodic time-dependent generalized harmonic oscillators using a Hamiltonian action of the Schrödinger-Virasoro group (Q986675)

In this article, the author recalls the Schrödinger-Virasoro group and its action on the Schrödinger operators and gives a classification of the Schrödinger operators. The author solves the monodromy of the time-dependent Schrödinger operators of non-resonant types and Ermakov-Lewis invariants. The author also gives the symplectic structures and the general solution of the Schrödinger equation.