The confined system approximation for solving non-separable potentials in three dimensions

Date

1998-04-01

Author

Taşeli, Hasan

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The Hilbert space L-2(R-3), to which the wavefunction of the three-dimensional Schrodinger equation belongs, has been replaced by L-2(Omega), where Omega is a bounded region. The energy spectrum of the usual unbounded system is then determined by showing that the Dirichlet and Neumann problems in L-2(Omega) generate upper and lower bounds, respectively, to the eigenvalues required. Highly accurate numerical results for the quartic and sextic oscillators are presented for a wide range of the coupling constants.

URI

https://hdl.handle.net/11511/94296

Journal

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL

DOI

https://doi.org/10.1088/0305-4470/31/13/013

Collections

Department of Mathematics, Article

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Citation Formats

H. Taşeli, “The confined system approximation for solving non-separable potentials in three dimensions,” JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, vol. 31, no. 13, pp. 3095–3114, 1998, Accessed: 00, 2021. [Online]. Available: https://hdl.handle.net/11511/94296.