2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/199047The generalized invariant and its eigenstates of a general quadratic oscillator are found. The Schrödinger wave functions for the eigenstates are also found in analytically closed forms. The conditions for the existence of the cyclic initial state (CIS) are studied and the corresponding nonadiabatic Berry phase is calculated explicitly.19 pages, revtex, no figuresQuantum PhysicsHigh Energy Physics - Theorytext