Green's operator for Hamiltonians with Coulomb plus polynomial potentials
数学物理
2009-11-11 v1 math.MP
谱理论
摘要
The Hamiltonian of a Coulomb plus polynomial potential on the Coulomb-Sturmian basis has an infinite symmetric band-matrix structure. A band matrix can always be considered as a block-tridiagonal matrix. So, the corresponding Green's operator can be given as a matrix-valued continued fraction. As examples, we calculate the Green's operator for the Coulomb plus linear and quadratic potential problems and determine the energy levels.
引用
@article{arxiv.math-ph/0612053,
title = {Green's operator for Hamiltonians with Coulomb plus polynomial potentials},
author = {E. Kelbert and A. Hyder and F. Demir and Z. T. Hlousek and Z. Papp},
journal= {arXiv preprint arXiv:math-ph/0612053},
year = {2009}
}
备注
4 pages