| Abstract: | A general method is used to construct explicitly the quadratic invariants for two dimensional classical dynamical systems. The solutions of the “potential” equations are considered for both time dependent (TD) and time independent (TID) systems dealing mainly with the noncentral potentials. While several interesting integrable TID systems are found, which may have applications in solid state physics and molecular chemistry, an explicit construction of the invariants for a large class of TD systems is carried out which may again be useful in quantum optics and astronomy. In particular, the problem of noncentral TD harmonic oscillator in its varied form is dealt with in some details. |
