Refinement trajectory and determination of eigenstates by a wavelet based adaptive method | Zendy

Jānos Pipek | Zendy; Szilvia Nagy | Zendy

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Refinement trajectory and determination of eigenstates by a wavelet based adaptive method

Author(s) -

Jānos Pipek,

Szilvia Nagy

Publication year - 2006

Publication title -

the journal of chemical physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.071

H-Index - 357

eISSN - 1089-7690

pISSN - 0021-9606

DOI - 10.1063/1.2363368

Subject(s) - wavelet , eigenvalues and eigenvectors , trajectory , algorithm , function (biology) , computer science , resolution (logic) , hilbert space , mathematics , mathematical analysis , physics , artificial intelligence , quantum mechanics , evolutionary biology , biology

The detail structure of the wave function is analyzed at various refinementlevels using the methods of wavelet analysis. The eigenvalue problem of a modelsystem is solved in granular Hilbert spaces, and the trajectory of theeigenstates is traced in terms of the resolution. An adaptive method isdeveloped for identifying the fine structure localization regions, wherefurther refinement of the wave function is necessary.Comment: 9 pages, 4 figures, 3 table

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