NEW APPROACH TO QUANTUM DYNAMICS - RECURSIVE, AVERAGE-CASE COMPLEXITY, DISTRIBUTED APPROXIMATING FUNCTIONAL METHOD FOR TIME-INDEPENDENT WAVEPACKET FORMS OF SCHRODINGER AND LIPPMANN-SCHWINGER EQUATIONS

A new approach to quantum dynamics is presented which addresses the fu ndamental difficulty of exponential growth of computational complexity with the dimensionality of the system. A general recursive polynomial treatment of the time-independent full Green operator, the average-ca se complexity approach to multi-dimensional integration, and the conti nuous distributed approximating functional representation of the Hamil tonian are the three ingredients of the approach. Calculations for col linear H + H-2 reactive scattering are presented to illustrate the met hod.