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

János Pipek, Szilvia Nagy

Research output: Contribution to journalArticle

10 Citations (Scopus)

Abstract

The detail structure of the wave function is analyzed at various refinement levels using the methods of wavelet analysis. The eigenvalue problem of a model system is solved in granular Hilbert spaces, and the trajectory of the eigenstates is traced in terms of the resolution. An adaptive method is developed for identifying the fine structure localization regions, where further refinement of the wave function is necessary.

Original languageEnglish
Article number174107
JournalJournal of Chemical Physics
Volume125
Issue number17
DOIs
Publication statusPublished - 2006

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Wave functions
eigenvectors
Trajectories
trajectories
wave functions
Wavelet analysis
Hilbert spaces
Hilbert space
wavelet analysis
eigenvalues
fine structure

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

Cite this

Refinement trajectory and determination of eigenstates by a wavelet based adaptive method. / Pipek, János; Nagy, Szilvia.

In: Journal of Chemical Physics, Vol. 125, No. 17, 174107, 2006.

Research output: Contribution to journalArticle

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