Equivalence of integral differential methods of generating accurately solvable potentials of the steady Schrödinger equation

DOI10.1007/BF00559479zbMath0944.34069WikidataQ115394983 ScholiaQ115394983MaRDI QIDQ1968947

Boris F. Samsonov

Publication date: 15 March 2000

Published in: Russian Physics Journal (Search for Journal in Brave)

zbMATH Keywords

Darboux transformationaccurately solvable potentialshydrogen-like spectrumone-dimensional steady Schrödinger equation

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Explicit solutions, first integrals of ordinary differential equations (34A05)

Cites Work

• Explicit non-central potentials and wave functions for givenS-matrices
• The Darboux and Abraham-Moses transformations of the one-dimensional periodic Schrodinger equation and inverse problems

This page was built for publication: Equivalence of integral differential methods of generating accurately solvable potentials of the steady Schrödinger equation