Singular Short Range Potentials in the J-Matrix Approach

Details Singular Short Range Potentials in the J-Matrix Approach Singular Short Range Potentials in the J-Matrix Approach

2010-10-09

arxiv.org/abs/1010.1844v1

Phys.Lett.A373:2408-2412,2009

Physics

Quantum Physics

14 pages, 5 tables, 2 figures

Scientific paper

10.1016/j.physleta.2009.05.012

We use the tools of the J-matrix method to evaluate the S-matrix and then deduce the bound and resonance states energies for singular screened Coulomb potentials, both analytic and piecewise differentiable. The J-matrix approach allows us to absorb the 1/r singularity of the potential in the reference Hamiltonian, which is then handled analytically. The calculation is performed using an infinite square integrable basis that supports a tridiagonal matrix representation for the reference Hamiltonian. The remaining part of the potential, which is bound and regular everywhere, is treated by an efficient numerical scheme in a suitable basis using Gauss quadrature approximation. To exhibit the power of our approach we have considered the most delicate region close to the bound-unbound transition and compared our results favorably with available numerical data.

Affiliated with

Also associated with

No associations

Rating

Singular Short Range Potentials in the J-Matrix Approach does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Singular Short Range Potentials in the J-Matrix Approach, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Singular Short Range Potentials in the J-Matrix Approach will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-221148