Question

What justifies use of asymptotic momentum state?

Answer 1

The LSZ scattering approach starts with initial and final asymptotic momentum states. But we know that , which means that it is not a properly normalizable state. But we still talk in scattering experiment of initial state being in and final state being in and compute scattering amplitude. Even if we restrict to realistic scenario where wavepacket has "width" or variance so that it is not sharply in one momentum state, this does not deflect the question of normalization.

Answer 2

with momentum uses a well-designed random initialization .... in terms of asymptotic convergence rates (and on cer- tain very ..... Echo-State Networks (ESNs) is a family of RNNs wit