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Michelle Kwan will be the gold medalist tomorrow evening if she skates anything close to her smooth potential.
Remarkably smooth potential energy curves resulted, though the methodology was not designed, per se, for potential energy curves, particularly due to the additive nature of the methodology.
A Gaussian wave packet transform is developed for the efficient computation of the semi-classical limit of the multidimensional Schrödinger equation with smooth potential.
Excellent capacity retention and smooth potential profiles at room and elevated temperatures over extended cycles suggest that this material does not convert into a spinel structure.
The WS potential has the distinct structure with smooth potential bottom and steep potential wall, which guarantees a stable particle motion within the potential and avoids the unexpected noises for the SR system.
In this paper an efficient and accurate method for simulating the propagation of a localized solution of the Schrödinger equation with a smooth potential near the semiclassical limit is presented.
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We conclude that the two algorithms are generally more efficient than others used previously for the same systems, with a further advantage of being machine independent and able to deal with both hard core and smooth potentials.
In the setting of compactly supported potentials we see cases of (c) and (d) : fixed M for bounded potentials [162], arbitrary M for smooth potentials [262] and ( beta = 1/a ) for potentials in the a Gevrey class [110].
This suggests that in the large cage of sII hydrate, CO molecules are more delocalized than those in sI and hence have a smoother potential energy surface.
The first uses a smoothed potential to truncate the interaction in a single unit cell: this is appropriate for phenomenological characterisations, but may be applied to any potential.
The effectiveness of the Metropolis algorithm (MA) (constant-temperature simulated annealing) in optimization by the method of search-space smoothing (SSS) (potential smoothing) is studied on two types of random traveling salesman problems.
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