Study of the Asymptotic Behaviour of Many-Particle Amplitudes.

Adrian Patrascioiu

Sadhan K. Adhikari, W. L. Gibson

H. Fleming

Burkhard Kümmerer

Saar Beck, R. Weiss, Nir Barnea

We analyze the asymptotic behaviour of the coupled cluster many-body wave-function in the limit of highly excited two- and three-particles states. We find that in this limit the different coupled cluster amplitudes exhibit a recurring behaviour, factorizing into a common asymptotic two- or three-body term. These asymptotic terms depend on the potential and in general are system specific. We also suggest that the knowledge of the asymptotic behaviour can potentially help solving the coupled cluster equations in a more efficient way.

S.T. Dembiński, Adam J. Makowski, Piotr Pepłowski

Behaviours of classical and quantum particles in an infinitely deep flat well with uniformly growing width are compared and examined for infinitely large instants of time. In particular, the correspondence between certain classes of classical and quantum states is pointed out and asymptotic effects of 'squeezing' of the momentum probability densities are derived.