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


E E Ituen
G T Akpabio
A A Okon

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, Wr, exponential, We, gaussian, Wg and velocity, Wvwindow functions. Again the values of the propagator as Kwr, Kwe, Kwg, Kwv, in space, compare reasonably with Ks and hence Kcl. The quantities sr, se, sg, sv 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

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