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Strongly convergent method to solve one-dimensional quantum problems
Date
1997-07-01
Author
Taşeli, Hasan
Metadata
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Vargas et al. [Phys. Rev. E 53, 1954 (1996)] presented a numerical matrix method to solve the one-dimensional Schrodinger equation subject to Dirichlet boundary conditions. It is a well-known fact that the eigensolutions of such a confined system converge asymptotically to those of the corresponding unbounded problem as the boundary value increases. However, it is verified computationally that the results given by Vargas et al. are inaccurate, especially for the excited states of the perturbed oscillator Hamiltonian.
URI
https://hdl.handle.net/11511/94386
Journal
PHYSICAL REVIEW E
DOI
https://doi.org/10.1103/physreve.56.1280
Collections
Department of Mathematics, Article
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H. Taşeli, “Strongly convergent method to solve one-dimensional quantum problems,”
PHYSICAL REVIEW E
, vol. 56, no. 1, pp. 1280–1282, 1997, Accessed: 00, 2021. [Online]. Available: https://hdl.handle.net/11511/94386.