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DETERMINING THE POTENTIAL AND THE GRADIENT COUPLING OF TWO-STATE QUANTUM SYSTEMS IN AN INFINITE WAVEGUIDE
  • Eric Soccorsi ,
  • Mohamed Hamrouni,
  • Imèn Rassas
Eric Soccorsi
Aix-Marseille Universite

Corresponding Author:[email protected]

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Mohamed Hamrouni
Universite de Sousse Ecole Superieure des Sciences et de la Technologie de Hammam Sousse
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Imèn Rassas
Universite de Tunis El Manar Faculte des Sciences de Tunis
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Abstract

We consider the inverse coefficient problem of simultaneously determining the space dependent electric potential, the zero-th order coupling term and the first order coupling vector of a two-state Schrödinger equation in an infinite cylindrical domain of R n , n≥2, from finitely many partial boundary measurements of the solution. We prove that these n+3 unknown scalar coefficients can be Hölder stably retrieved by ( n+1)-times suitably changing the initial condition attached at the system.