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Elimination and recursions in the scattering equations
(2016-05-10)
We use the elimination theory to explicitly construct the (n-3)! order polynomial in one of the variables of the scattering equations. The answer can be given either in terms of a determinant of Sylvester type of dimension ...
Variational calculation of positronium-helium-atom scattering length
(2001-08-01)
A basis-set calculation scheme for S-waves Ps-He elastic scattering below the lowest inelastic threshold was formulated using a variational expression for the transition matrix. The scheme was illustrated numerically by ...
Variational calculation of positronium-helium-atom scattering length
(2001-08-01)
A basis-set calculation scheme for S-waves Ps-He elastic scattering below the lowest inelastic threshold was formulated using a variational expression for the transition matrix. The scheme was illustrated numerically by ...
Exact scattering waves off nonlocal potentials under Coulomb interaction within Schrödinger's integro-differential equation
(Elsevier B.V., 2019)
© 2018 The Author(s) An exact solution for the scattering wavefunction from a nonlocal potential in the presence of Coulomb interaction is presented. The approach is based on the construction of a Coulomb Green's function ...
Almost sharp nonlinear scattering in one-dimensional born-infeld equations arising in nonlinear electrodynamics
(American Mathematical Society, 2018)
We study decay of small solutions of the Born-Infeld equation in 1+1 dimensions, a quasilinear scalar field equation modeling nonlinear electromagnetism, as well as branes in String theory and minimal surfaces in Minkowski ...
Neutron-C-19 scattering near an Efimov state
(Elsevier B.V., 2008-12-04)
The low-energy neutron-C-19 scattering in a neutron-neutron-core model is studied with large scattering lengths near the conditions for the appearance of an Efimov state. We show that the real part of the elastic s-wave ...
Scattering and bound states of spinless particles in a mixed vector-scalar smooth step potential
(Academic Press Inc. Elsevier B.V., 2009-11-01)
Scattering and bound states for a spinless particle in the background of a kink-like smooth step potential, added with a scalar uniform background, are considered with a general mixing of vector and scalar Lorentz structures. ...
Scattering and bound states of spinless particles in a mixed vector-scalar smooth step potential
(Academic Press Inc. Elsevier B.V., 2009-11-01)
Scattering and bound states for a spinless particle in the background of a kink-like smooth step potential, added with a scalar uniform background, are considered with a general mixing of vector and scalar Lorentz structures. ...
Controlling collapse in Bose-Einstein condensates by temporal modulation of the scattering length
(2003-01-01)
A study was conducted on the dynamics of 2D and 3D Bose-Einstein condensates in the case when the scattering length in the Gross-Pitaevskii (GP) equation which contains constant (dc) and time-variable (ac) parts. Using the ...