If we have SE (or other differential equation) defining the propagator by:(adsbygoogle = window.adsbygoogle || []).push({});

[tex] (\frac{\partial}{\partial t}-H(q,p))G(x,s)=\delta (x-s) [/tex]

then my question is..can you define a "semiclassical" operator?..i mean in the sense that it would solve approximately the equation (1) above but in WKB representation, ... does it satisfy some kind of Hamilton-Jacobi equation?..:grumpy: :grumpy:

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# Semiclassical propagator:

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