Schrödinger operators with n positive eigenvalues: an explicit construction involving complex valued potentials - Archive ouverte HAL
Article Dans Une Revue Proceedings of the Japan Academy. Series A: Mathematical Sciences Année : 2016

Schrödinger operators with n positive eigenvalues: an explicit construction involving complex valued potentials

Résumé

An explicit construction is provided for embedding n positive eigenvalues in the spectrum of a Schrödinger operator on the half-line with a Dirichlet boundary condition at the origin. The resulting potential is of von Neumann-Wigner type, but can be real valued as well as complex valued.
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Dates et versions

hal-01344985 , version 1 (18-07-2016)

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Serge Richard, Jun Uchiyama, Tomio Umeda. Schrödinger operators with n positive eigenvalues: an explicit construction involving complex valued potentials. Proceedings of the Japan Academy. Series A: Mathematical Sciences, 2016, 92 (1), pp.7-12. ⟨10.3792/pjaa.92.7⟩. ⟨hal-01344985⟩
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