Bound and resonance states by a time-independent filter diagonalization method for large Hamiltonian systems

A new algorithm on the basis of Neuhauser–Mandelshtam–Taylor developments of the filter diagonalization method is proposed for calculating highly excited bound states and resonances for large Hamiltonian systems, even in the high-density-state part of the spectrum. This is a complementary method to...

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Bibliographic Details
Published inChemical physics letters Vol. 305; no. 3; pp. 258 - 262
Main Authors Alacid, Mercedes, Leforestier, Claude, Moiseyev, Nimrod
Format Journal Article
LanguageEnglish
Published Elsevier B.V 21.05.1999
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Summary:A new algorithm on the basis of Neuhauser–Mandelshtam–Taylor developments of the filter diagonalization method is proposed for calculating highly excited bound states and resonances for large Hamiltonian systems, even in the high-density-state part of the spectrum. This is a complementary method to the Lanczos procedure with no reorthogonalization which is widely used for calculating the low lying energy levels, i.e. the low-density part of the spectrum. An illustrative numerical example is given.
ISSN:0009-2614
1873-4448
DOI:10.1016/S0009-2614(99)00371-1