Sliding inverse problems for radial Dirac and Schrödinger equations

2013/01/28 by Lev Sakhnovich, Sakhnovich, Lev
Mathematics · Physics and Astronomy · #33C05 #34A55 #34E05 #34L40 #58J51 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Spectral Theory (math.SP) #math-ph #math.CA #math.MP #math.SP #msc:33C05 #msc:34A55 #msc:34E05 #msc:34L40 #msc:58J51

paper · pdf · doi:10.48550/arxiv.1302.2078

arxiv created 2013/01/28 · arxiv updated 2013/02/11

Abstract

New inverse and half-inverse problems: \it sliding problems are introduced. In this way several physically important equations are recovered from the quantum defect. In particular, sliding problems are solved for radial Schrödinger equation, radial Dirac system and multidimensional Schrödinger equation. Systems with Coulomb-type potentials are considered as well.

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