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Wannier functions analysis of the nonlinear Schrödinger equation with a periodic potential
Walter's function nonlinear schrodinger equation periodic vector lattice
2014/12/29
In the present paper we use the Wannier function basis to construct lattice approximations of the nonlinear Schrödinger equation with a periodic potential. We show that the nonlinear Schrödi...
Biased Motion in a Symmetric Periodic Potential by Breaking
Temporal Symmetry
ratchet directional transport stochastic resonance
2007/8/15
2001Vol.36No.2pp.151-156DOI:
Biased Motion in a Symmetric Periodic Potential by Breaking
Temporal Symmetry
ZHENG Zhi-Gang and LI Xiao-Wen
Department of Physics, Beijing ...
Chaotic Behavior of a Brownian Particle in a Periodic Potential
Brownian particle periodic potential periodic perturbation chaos
2007/8/15
2005Vol.44No.1pp.61-64DOI:
Chaotic Behavior of a Brownian Particle in a Periodic Potential
FANG Jian-Shu,1,2,3 LIU Wing-Ki,2 and ZHAN Li-Xin2
1 Institute of Physics, Hun...
Semiclassical limit for the Schroedinger equation with a short scale periodic potential
Semiclassical limit for the Schroedinger equation short scale periodic potential
2010/11/2
We consider the dynamics generated by the Schroedinger operator $H=-{1/2}\Delta + V(x) + W(\epsi x)$, where $V$ is a lattice periodic potential and $W$ an external potential which varies slowly on the...