Superiority of semiclassical over quantum mechanical calculations for a three-dimensional system

Details Superiority of semiclassical over quantum mechanical calculations for a three-dimensional system Superiority of semiclassical over quantum mechanical calculations for a three-dimensional system

2002-09-16

arxiv.org/abs/nlin/0209032v1

Phys. Lett. A 305 (2002) 176

Nonlinear Sciences

Chaotic Dynamics

10 pages, 1 figure, submitted to Phys. Lett. A

Scientific paper

10.1016/S0375-9601(02)01440-8

In systems with few degrees of freedom modern quantum calculations are, in general, numerically more efficient than semiclassical methods. However, this situation can be reversed with increasing dimension of the problem. For a three-dimensional system, viz. the hyperbolic four-sphere scattering system, we demonstrate the superiority of semiclassical versus quantum calculations. Semiclassical resonances can easily be obtained even in energy regions which are unattainable with the currently available quantum techniques.

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