On power series representing solutions of the one-dimensional time-independent Schrödinger equation

DOI10.1134/S0965542517060148zbMath1382.34015OpenAlexW2728417213MaRDI QIDQ1682927

N. P. Trotsenko

Publication date: 6 December 2017

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542517060148

zbMATH Keywords

Helmholtz equationtime-independent Schrödinger equationexact solution in form of a power series

Mathematics Subject Classification ID

Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Explicit solutions, first integrals of ordinary differential equations (34A05) Linear ordinary differential equations and systems (34A30)

Cites Work

• Unnamed Item
• Calculation of eigenvalues of the discrete spectrum of the Schrödinger equation for arbitrary one-dimensional finite even potential wells
• On the relation between Stokes multipliers and the \(T\)-\(Q\) systems of conformal field theory
• Dispersion equation for eigenvalues of the effective refractive index in a multilayered waveguide structure
• On energy levels of a particle in a comblike structure
• On the explicit parametric description of waves in periodic media
• Poles of integrále tritronquée and anharmonic oscillators. A WKB approach
• The number of energy levels of a particle in an MQW structure

This page was built for publication: On power series representing solutions of the one-dimensional time-independent Schrödinger equation