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Broad Band Solitons in a Periodic and Nonlinear Maxwell System
Periodic Nonlinear Maxwell System nonlocal equations geometrical optics
2011/7/6
We consider the one-dimensional Maxwell equations with low contrast periodic linear refractive index and weak Kerr nonlinearity. In this context, wave packet initial conditions with a single carrier f...
On the explicit powers and the inverse of one type of band Toeplitz matrices
Toeplitz matrices Chebyshev polynomials
2010/9/25
We derive the general expression of the powers of one type of banded Toeplitz matrices.
In the single band tight-binding approximation, we consider the transport properties of an electron subject to a homogeneous static electric field. We show that repeated interactions of the electron w...
Estimating the Hubbard repulsion sufficient for the onset of nearly-flat-band ferromagnetism
Hubbard repulsion sufficient onset of nearly-flat-band ferromagnetism
2011/3/2
We consider nearly-flat-band Hubbard models of a ferromagnet, that is the models that are weak perturbations of those flat-band Hubbard models whose ground state is ferromagnetic for any nonzero stren...
Efficient Sampling of Band-limited Signals from Sine Wave Crossings
Efficient Sampling Band-limited Signals Sine Wave Crossings
2010/12/15
This paper presents an efficient method for reconstructing a band-limited signal in the discrete domain from its crossings with a sine wave.
Band-edge solitons, Nonlinear Schrodinger / Gross-Pitaevskii Equations and Effective Media
Band-edge solitons Nonlinear Schrodinger Gross-Pitaevskii Equations
2010/4/2
We consider a class of nonlinear Schrodinger / Gross-Pitaevskii (NLS/GP) equations with periodic potentials, having an even symmetry. We construct "solitons", centered about any point of symmetry of t...
on bi—closed subbands of a band and free idem potent sem irings
semigroup idempotent semiring band bi—closed subband
2009/10/29
The bi—closed subbands of a band are introduced and its som e properties and characterizations are given．By using these results，the free object in the variety of idempotent semiringswhose additive red...
The Wigner Band Random Matrix Model: Studied from the View Point
of a Generalization of Brillouin- Wigner Perturbation Theory
generalization of perturbation theory
energy eigenfunction local spectral density of states
2007/8/15
2001Vol.35No.2pp.143-150DOI:
The Wigner Band Random Matrix Model: Studied from the View Point
of a Generalization of Brillouin- Wigner Perturbation Theory
WANG Wen-Ge
De...