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An O(N) Method for Rapidly Computing Periodic Potentials Using Accelerated Cartesian Expansions
Accelerated Cartesian Expansion ACE Fast Multipole Methods Periodic Systems
2011/8/4
Abstract: The evaluation of long-range potentials in periodic, many-body systems arises as a necessary step in the numerical modeling of a multitude of interesting physical problems. Direct evaluation...
The phenomenon of stochastic resonance (SR) is known to occur mostly in bistable systems.
However, the question of occurrence of SR in periodic potential systems is not conclusively resolved.Our pres...
Efimov Trimers : Analytic Solution Via Separable Potentials
Efimov states separable potentials dimer resonances
2011/1/7
The exact dynamical equation for Efimov trimers in the short range limit of dimer resonances is derived via Yamaguchi separable potentials. This equation which overcomes the non-uniqueness prob-lem of...
Accurate energy spectrum for power-law potentials with trigonometric basis: The optimal length
Accurate energy spectrum power-law potentials trigonometric basis optimal length
2010/11/11
We propose an optimal length for accurate calculation of eigenvalues and eigenfunctions of power-law potentials with trigonometric basis functions. We show that, this proposal make us free from using ...