Symbolic-Numeric Solution of Boundary-Value Problems for the Schrödinger Equation Using the Finite Element Method: Scattering Problem and Resonance States
作者： A. A. Gusev , L. Le Hai , O. Chuluunbaatar , V. Ulziibayar , S. I. Vinitsky
DOI: 10.1007/978-3-319-24021-3_14
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摘要: We present new symbolic-numeric algorithms for solving the Schrodinger equation describing scattering problem and resonance states. The boundary-value problems are formulated discretized using finite element method with interpolating Hermite polynomials, which provide required continuity of derivatives approximated solutions. efficiency programs implemented in Maple computer algebra system is demonstrated by analysing states continuous piecewise real complex potentials like single double barrier well.
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