On the power-series construction of Schrödinger bound states. II. The effective Hill determinants

DOI10.1063/1.528460zbMath0679.34035OpenAlexW2009810813MaRDI QIDQ4728653

Miloslav Znojil

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1063/1.528460

zbMATH Keywords

potentialsHill-determinant methodFeshbach-Löwdin projection-operatorradial differential Schrödinger equation for wave functions

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Ordinary differential operators (34L99)

Cites Work

• Analytic solutions of the general anharmonic-oscillator problem
• The rotating harmonic oscillator eigenvalue problem. I. Continued fractions and analytic continuation
• Extended continued fractions and energies of the anharmonic oscillators
• The Hill determinant method in application to the sextic oscillator: limitations and improvement
• On the power-series construction of bound states. I. The energies as zeros of the infinite Hill determinants

This page was built for publication: On the power-series construction of Schrödinger bound states. II. The effective Hill determinants