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Approach to energy eigenvalues and eigenfunctions from nonperturbative regions of eigenfunctions

Physical Review E, 2001
We study the approach to energy eigenvalues and eigenfunctions of Hamiltonian matrices with band structure from diagonalization of their truncated matrices. Making use of a generalization of Brillouin-Wigner perturbation theory, it is shown that in order to obtain approximate energy eigenvalues and eigenfunctions the sizes of truncated matrices should ...
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On Expansions in Eigenfunctions

Journal of the London Mathematical Society, 1939
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An Expansion in Eigenfunctions

Proceedings of the London Mathematical Society, 1951
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An Expansion in Eigenfunctions

Journal of the London Mathematical Society, 1946
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On the zeros of eigenfunctions

Functional Analysis and Its Applications, 1973
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