The Inverse Problem for Perturbed Harmonic Oscillator on the Half-Line with a Dirichlet Boundary Condition

Article Article scientifique Article The Inverse Problem for Perturbed Harmonic Oscillator on the Half-Line with a Dirichlet Boundary Condition eng 2007 author Chelkak Dmitry 651589 author Korotyaev Evgeny 1115-1150 10.1007/s00023-007-0330-z 1424-0637 We consider the perturbed harmonic oscillator TDψ=−ψ′′+x2ψ+q(x)ψ,ψ(0)=0, in L2(R+), where q∈H+={q′,xq∈L2(R+)} is a real-valued potential. We prove that the mapping q⟼ spectral data = {eigenvalues of T D }⊕ {norming constants} is one-to-one and onto. The complete characterization of the set of spectral data which corresponds to q∈H+ is given. Dewey 510 Open Access - Licence nationale Springer 25 Section de mathématiques 11 false Annales Henri Poincaré 8 6 f3467548-ac3a-46e3-a5e9-63e1cfa4d6b6 Article (Published version) Public Chelkak-Korotyaev2007_Article_TheInverseProblemForPerturbedH.pdf 370206 application/pdf openAccess Faculté des sciences / Section de mathématiques

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The Inverse Problem for Perturbed Harmonic Oscillator on the Half-Line with a Dirichlet Boundary Condition	Annales Henri Poincaré			2007	338	178

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Chelkak, Dmitry