New L2 approach to quantum scattering: Theory. Heller, E. J. & Yamani, H. A. Physical Review A, 9(3):1201–1208, mar, 1974.
Paper doi abstract bibtex By exploiting the soluble infinite tridiagonal (Jacobi)-matrix problem generated by evaluating a zeroth-order scattering Hamiltonian H0 in a certain L2 basis set, we obtain phase shifts, wave functions, etc., which are exact for a full Hamiltonian H in which only the potential V is approximated. Only bound-bound (L2) matrix elements of the Hamiltonian and finite matrix manipulations are needed. The method is worked out here for s-wave scattering using Laguerre basis functions. Kato improvement of the results and necessary generalizations to many channels are treated. \textcopyright 1974 The American Physical Society.
@article{heller_new_1974,
abstract = {By exploiting the soluble infinite tridiagonal (Jacobi)-matrix problem generated by evaluating a zeroth-order scattering Hamiltonian H0 in a certain L2 basis set, we obtain phase shifts, wave functions, etc., which are exact for a full Hamiltonian H in which only the potential V is approximated. Only bound-bound (L2) matrix elements of the Hamiltonian and finite matrix manipulations are needed. The method is worked out here for s-wave scattering using Laguerre basis functions. Kato improvement of the results and necessary generalizations to many channels are treated. {\textcopyright} 1974 The American Physical Society.},
annote = {From Duplicate 2 (New L2 approach to quantum scattering: Theory - Heller, Eric J.; Yamani, Hashim A.)
Publisher: American Physical Society},
author = {Heller, Eric J. and Yamani, Hashim A.},
doi = {10.1103/PhysRevA.9.1201},
issn = {10502947},
journal = {Physical Review A},
month = {mar},
number = {3},
pages = {1201--1208},
title = {{New L2 approach to quantum scattering: Theory}},
url = {https://link.aps.org/doi/10.1103/PhysRevA.9.1201},
volume = {9},
year = {1974}
}
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