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arXiv · 2504.05915

Quantum inverse scattering for time-dependent repulsive Hamiltonians of quadratic type

Atsuhide Ishida
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Abstract

We study a multidimensional inverse scattering problem under the time-dependent repulsive Hamiltonians of quadratic type. The time-dependent coefficient on the repulsive term decays as the inverse square of time, which is the threshold between the standard free Schroedinger operator and the time-independent repulsive Hamiltonians of quadratic type. Applying the Enss-Weder time-dependent method, we can determine uniquely the short-range potential functions with Coulomb-like singularities from the velocity limit of the scattering operator.

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Atsuhide Ishida. 2025-04-08. Quantum inverse scattering for time-dependent repulsive Hamiltonians of quadratic type. https://arxiv.org/abs/2504.05915

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