EJIIM for the stationary Schrödinger equations with delta potential wells

Jiejing Bai and Li Wang

Applied Mathematics and Computation, 2015, vol. 254, issue C, 113-124

Abstract: We investigate the bound state problems for the 1D stationary Schrödinger equations with a class of singular potentials, i.e. the delta potential wells, by using the explicit jump immersed interface method (EJIIM). Either in the single-delta case or in the double-delta case, numerical results show the feasibility, efficiency and convergence of EJIIM with applications to the eigenvalue problems, just as to numerous boundary value and initial-boundary value differential equations. Comparisons with Peskin’s IB method reveal the superiority of EJIIM in calculating the bound eigenfunctions and particularly the corresponding eigenvalues for the stationary Schrödinger equations.

Keywords: Stationary Schrödinger equations; Single delta potential well; Symmetric double delta potential well; EJIIM; Peskin’s IB method (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:254:y:2015:i:c:p:113-124

DOI: 10.1016/j.amc.2014.12.095

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