Approximate analytical solutions of the stationary radial Schrödinger equation with new anharmonic potentials

DOI10.1007/s10910-014-0316-2zbMath1312.35052OpenAlexW2110842435WikidataQ59397607 ScholiaQ59397607MaRDI QIDQ2014811

Damian Mikulski, Jerzy Konarski, Krzysztof Eder

Publication date: 16 June 2014

Published in: Journal of Mathematical Chemistry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10910-014-0316-2

zbMATH Keywords

diatomic moleculesstationary Schrödinger equationinternuclear potentialstheoretical spectroscopy

Mathematics Subject Classification ID

Chemistry (92E99) Theoretical approximation in context of PDEs (35A35) Schrödinger operator, Schrödinger equation (35J10) Axially symmetric solutions to PDEs (35B07)

Cites Work

• Exact solutions of the Schrödinger equation for the pseudoharmonic potential: an application to some diatomic molecules
• A class of exactly solvable potentials. I: One-dimensional Schrödinger equation
• A class of exactly solvable potentials. II: The three-dimensional Schrödinger equation
• A simple generation of exactly solvable anharmonic oscillators
• Borel summability and indeterminacy of the Stieltjes moment problem: Application to the anharmonic oscillators
• The Wentzel-Brillouin-Kramers Method of Solving the Wave Equation
• Exact solutions for vibrational levels of the Morse potential