Relative deviation between a uniformly weighted propagator and windowed propagator of a simple Harmonic Oscillator–2

Abstract

A further processing of windowing in the computation of the quantum propagator, ks, for a simple harmonic oscillator is performed with variation in space; instead of time as in Ituen (2003b). All the four window functions are analysed as before, namely, random, W_r, exponential, W_e, gaussian, W_g and velocity, W_vwindow functions. Again the values of the propagator as Kw_r, Kw_e, Kw_g, Kw_v, in space, compare reasonably with K_s and hence K_cl. The quantities s_r, s_e, s_g, s_v are the respective slight relative deviations measured with variation in space as expected in this case.


Journal of the Nigerian Association of Mathematical Physics Vol. 8 2004: pp. 13-19