Solutions of the time-independent Schrödinger equation by uniformization on the unit circle

DOI10.2478/AUPCSM-2019-0012zbMath1478.34096OpenAlexW2983445805MaRDI QIDQ2180840

Kazimierz Rajchel

Publication date: 15 May 2020

Published in: Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/aupcsm-2019-0012

zbMATH Keywords

Schrödinger equationunit circleRiccati equationquantization condition

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Nonlinear ordinary differential equations and systems (34A34) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05)

Cites Work

• New method to solve certain differential equations
• Exactly solvable Schrödinger operators
• Riccati differential equations
• Advances in One-Dimensional Wave Mechanics
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