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

DOI10.1007/S11253-018-1489-9zbMath1432.65108OpenAlexW2885840968MaRDI QIDQ2274494

Yanyan Li

Publication date: 20 September 2019

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11253-018-1489-9

zbMATH Keywords

Schrödinger operatorpolynomial potentialone-dimensional spectral problems

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Numerical approximation of eigenvalues and of other parts of the spectrum of ordinary differential operators (34L16) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Uses Software

• DLMF

Cites Work

• Solving frontier problems of physics: the decomposition method
• New properties of the FD-method in its applications to the Sturm-Liouville problems
• The FD-method in spectral problems for the Schrödinger operator with polynomial potential on (-∞, ∞)
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Exact and approximate solutions of spectral problems for the Schrödinger operator on \((-\infty, \infty)\) with polynomial potential