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Phys. Rev. Lett. 82, 2064 - 2067 (1999)

Chaotic Wave Functions and Exponential Convergence of Low-Lying Energy Eigenvalues

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Mihai Horoi1, Alexander Volya2, and Vladimir Zelevinsky2
1Physics Department, Central Michigan University, Mount Pleasant, Michigan 48859
2Department of Physics and Astronomy and National Superconducting Cyclotron Laboratory, Michigan State University, East Lansing, Michigan 48824-1321

Received 3 June 1998

We suggest that low-lying eigenvalues of realistic many-body Hamiltonians, given, as in the nuclear shell model, by large matrices, can be calculated by the diagonalization of truncated matrices with the exponential extrapolation of the results. We show numerical data confirming this conjecture. We argue that the exponential convergence may be a generic feature of complex systems where the wave functions are localized in an appropriate basis.


©1999 The American Physical Society

URL: http://link.aps.org/doi/10.1103/PhysRevLett.82.2064
DOI: 10.1103/PhysRevLett.82.2064
PACS: 21.60.Cs, 24.60.Lz

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