The FD-method in spectral problems for the Schrödinger operator with polynomial potential on (-∞, ∞)

DOI10.15407/DOPOVIDI2015.11.005zbMath1340.65260OpenAlexW2345245749MaRDI QIDQ3464212

Volodymyr L. Makarov

Publication date: 20 January 2016

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/dopovidi2015.11.005

zbMATH Keywords

eigenvaluesSchrödinger operatorboundary-value problemspectral problemquantum anharmonic oscillatorKummer functionspolynomial potentialexponentially convergent methodfunctionally discrete method

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Schrödinger operator, Schrödinger equation (35J10) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)

Related Items (1)

Exact and approximate solutions of spectral problems for the Schrödinger operator on \((-\infty, \infty)\) with polynomial potential

This page was built for publication: The FD-method in spectral problems for the Schrödinger operator with polynomial potential on (-∞, ∞)