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A Direct Sampling Method for Inverse Scattering Using Far-Field Data
Direct Sampling Method Inverse Scattering Using Far-Field Data Mathematical Physics
2012/6/21
This work is concerned with a direct sampling method (DSM) for inverse acoustic scattering problems using far-field data. The method characterizes some unknown obstacles, inhomogeneous media or cracks...
Absence of bound states implies non-negativity of the scattering length
Absence of bound states non-negativity of the scattering length Mathematical Physics
2012/4/18
We show that bosons interacting via pair potentials with negative scattering length form bound states for a suitable number of particles. In other words, the absence of many-particle bound states of a...
On quantum Huygens principle and Rayleigh scattering
quantum Huygens principle Rayleigh scattering ionization
2012/2/29
We prove several minimal photon velocity estimates below the ionization threshold for a particle system coupled to the quantized electromagnetic or phonon field. Using some of these results, we prove ...
Inverse scattering transform for the Degasperis-Procesi equation: a Riemann-Hilbert approach
Degasperis–Procesi equation Camassa–Holm equation inverse scattering trans-form Riemann–Hilbert problem asymptotics
2011/10/10
Abstract: We present the inverse scattering transform approach to the Cauchy problem on the line for the Degasperis-Procesi equation $u_{txx}-2u_x+2u_xu_{xx}+uu_{xxx}=0$ in the form of an associated R...
On the determinant formula in the inverse scattering procedure with a partially known steplike potential
Marchenko inverse scattering Schrodinger operator Titchmarsh-Weyl m− function
2011/9/13
Abstract: We are concerned with the inverse scattering problem for the full line Schr\"odinger operator $-\partial_x^2+q(x)$ with a steplike potential $q$ a priori known on $\Reals_+=(0,\infty)$. Assu...
Coulomb singularities in scattering wave functions of spin-orbit-coupled states
coulomb singularities spin-orbit-coupled states scattering wave functions
2011/10/8
Abstract: We report on our analysis of the Coulomb singularity problem in the frame of the coupled channel scattering theory including spin-orbit interaction. We assume that the coupling between the p...
Global well-posedness and scattering for Skyrme wave maps
Wave maps Skyrme model Adkins-Nappi model global existence scattering theory
2011/7/28
Abstract: We study equivariant maps corresponding to the classical Skyrme model and the Adkins-Nappi model, for which we prove global existence and scattering in critical Sobolev-Besov spaces.
The Complemented System Approach: A Novel Method for Calculating the X-ray Scattering from Computer Simulations
The Complemented System Approach the X-ray Scattering Computer Simulations
2010/11/17
In this paper, we review the main problem concerning the calculation of X-ray scattering of simulated model systems, namely their finite size. A novel method based on the Rayleigh-Debye-Gans approxim...
Spectral Singularities of Complex Scattering Potentials and Infinite Reflection and Transmission Coefficients at real Energies
Scattering Potentials Infi nite Refl ection Transmission Coefficients real Energies
2010/4/16
Spectral singularities are spectral points that spoil the completeness of the eigenfunctions of certain non-Hermitian Hamiltonian operators. We identify spectral singularities of complex scattering po...
Studies of Rigid Rotor-Rigid Surface Scattering in Dynamical Lie Algebraic Method
Lie algebraic method scattering rigid rotor
2007/8/15
2004Vol.41No.3pp.357-361DOI:
Studies of Rigid Rotor-Rigid Surface Scattering in Dynamical Lie Algebraic Method
WANG Xiao-Yan and DING Shi-Liang
School of Physical and Mi...