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math-ph2006★ 9 cited
Green's operator for Hamiltonians with Coulomb plus polynomial potentials
E. Kelbert, A. Hyder, F. Demir +2
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 bl…
math-ph2006★ 18 cited
On the Coulomb-Sturmian matrix elements of the Coulomb Green's operator
F. Demir, Z. T. Hlousek, Z. Papp
The two-body Coulomb Hamiltonian, when calculated in Coulomb-Sturmian basis, has an infinite symmetric tridiagonal form, also known as Jacobi matrix form. This Jacobi matrix struct…