J-matrix method of scattering for inverse-square singular potentials with supercritical coupling II. Regularization
نویسندگان
چکیده
This paper is a continuation of the previous one [Journal xx, xxxxx (2022)]. Here, we reformulate same J-matrix theory by regularizing inverse square singular potential. The objective to restore rapid convergence calculation in and recover conventional tridiagonal representation. Partial success achieved.
منابع مشابه
Singular matrix Darboux transformations in the inverse-scattering method
Singular Darboux transformations, in contrast to the conventional ones, have a singular matrix as a coefficient before the derivative. We incorporated such transformations into a chain of conventional transformations and presented determinant formulas for the resulting action of the chain. A determinant representation of the Kohlhoff–von Geramb solution to the Marchenko equation is given. PACS ...
متن کاملApplying Legendre Wavelet Method with Regularization for a Class of Singular Boundary Value Problems
In this paper Legendre wavelet bases have been used for finding approximate solutions to singular boundary value problems arising in physiology. When the number of basis functions are increased the algebraic system of equations would be ill-conditioned (because of the singularity), to overcome this for large $M$, we use some kind of Tikhonov regularization. Examples from applied sciences are pr...
متن کاملModified J-matrix method for scattering.
We modify the J-matrix technique for scattering so that problems with long-range interactions are easily solved. This is done by introducing additional terms in the asymptotic three-term recurrence relation that take into account asymptotic effects of the potential. The solutions of this modified recurrence relation are a very good approximation of the exact scattering solution. Only a small nu...
متن کاملSingular Regularization of Inverse Problems
This thesis comments on the use of Bregman distances in the context of singular regularization schemes for inverse problems. According to previous works the use of Bregman distances in combination with variational frameworks, based on singular regularization energies, leads to improved approximations of inverse problems solutions. The Bregman distance has become a powerful tool for the analysis...
متن کاملTest of J - matrix inverse scattering potentials on electromagnetic reactions of few - nucleon systems
The J-matrix inverse scattering nucleon-nucleon potentials (JISP), describing both two-nucleon data and bound and resonant states of light nuclei to high accuracy, are tested on the total photoabsorption cross sections of 2H, 3H and 3,4He. The calculations in the threeand four-body systems are carried out via the Lorentz integral transform method and the hyperspherical harmonics (HH) technique....
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Annals of Physics
سال: 2022
ISSN: ['1096-035X', '0003-4916']
DOI: https://doi.org/10.1016/j.aop.2022.169029