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

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

2006-08-10

arxiv.org/abs/physics/0608112v1

Physics

Computational Physics

9 pages, 4 figures, 3 tables

Scientific paper

10.1063/1.2363368

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.

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