Simultaneous identification of the diffusion coefficient and the potential for the Schrödinger operator with only one observation

DOI10.1088/0266-5611/26/3/035012zbMath1187.81011arXiv0911.3300OpenAlexW2949766869MaRDI QIDQ3550648

Laure Cardoulis, Patricia Gaitan

Publication date: 1 April 2010

Published in: Inverse Problems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0911.3300

zbMATH Keywords

Diracquantum measurement theoryNLS-like (nonlinear Schrödinger) equationsetc.) for PDEinverse problems (undetermined coefficientsclosed and approximate solutions to the SchrödingerKlein-Gordon and other quantum-mechanical equations

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Inverse problems for PDEs (35R30) NLS equations (nonlinear Schrödinger equations) (35Q55) Inverse scattering problems in quantum theory (81U40) Quantum measurement theory, state operations, state preparations (81P15)

Related Items (6)

Unnamed Item ⋮ Unnamed Item ⋮ An inverse problem for a time-dependent Schrödinger operator in an unbounded strip ⋮ Identification of two independent coefficients with one observation for the Schrödinger operator in an unbounded strip ⋮ Unique continuation property with partial information for two-dimensional anisotropic elasticity systems ⋮ Logarithmic stability for a coefficient inverse problem of coupled Schrödinger equations

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