منابع مشابه
Modified 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 کاملJ-matrix method and Bargmann potentials
By applying the J-matrix method [1] to neutral particles scattering we have discovered that there is a one-to-one correspondence between the nonlocal separable potential with the Laguerre form factors and a Bargmann potential. Thus this discrete approach to direct and inverse scattering problem can be considered as a tool of the S-matrix rational parametrization. As an application, the Bargmann...
متن کاملThe J-matrix Method: a Survey of Tridiagonalization
Given an operator L acting on a function space, the J-matrix method consists of finding a sequence yn of functions such that the operator L acts tridiagonally on yn. Once such a tridiagonalization is obtained, a number of characteristics of such an operator L can be obtained. In particular, information on eigenvalues and eigenfunctions, bound states, spectral decompositions, etc. can be obtaine...
متن کاملCalculation the eigenvalues of the power-law and logarithmic potentials using the J-matrix method
The eigenvalues of the power-law and logarithmic potentials are calculated using the Jmatrix method. The calculations are carried out for states with arbitrary quantum numbers n and l . Comparisons are made with the available literature data and excellent agreement is observed. In all the cases, the current method yields considerably improved results over the other existing calculations. Some n...
متن کاملA discrete version of the inverse scattering problem and the J-matrix method
The problem of the Hamiltonian matrix in the oscillator and orthogonalized Laguerre basis construction from a given S-matrix is treated in the context of the algebraic analogue of the Marchenko method.
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: Advances in Applied Mathematics
سال: 2011
ISSN: 0196-8858
DOI: 10.1016/j.aam.2010.10.005