Exact solutions of a spectral problem for the schrödinger differential operator with polynomial potential in R2

DOI10.15407/DOPOVIDI2017.01.003zbMath1374.65190OpenAlexW2596779786MaRDI QIDQ5271498

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Publication date: 11 July 2017

Published in: Reports of the National Academy of Sciences of Ukraine (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.15407/dopovidi2017.01.003

zbMATH Keywords

finite difference methodSchrödinger operatorHermite polynomialsspectral problemexact eigenvaluesexponentially convergent method

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Schrödinger operator, Schrödinger equation (35J10) Finite difference methods for boundary value problems involving PDEs (65N06) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)

Related Items (2)

Super-exponentially convergent parallel algorithm for a fractional eigenvalue problem of Jacobi-type ⋮ Exact and approximate solutions of the spectral problems for the differential Schrödinger operator with polynomial potential in \(\mathbb{R} ^K\), \(K \geq 2\)

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