Bibliographic Details
| Title: |
Quantum inverse scattering for time-dependent repulsive Hamiltonians of quadratic type. |
| Authors: |
Ishida, Atsuhide1 (AUTHOR) aishida@rs.tus.ac.jp |
| Source: |
Journal of Inverse & Ill-Posed Problems. Dec2025, Vol. 33 Issue 6, p845-859. 15p. |
| Subjects: |
Quantum scattering, Hamiltonian systems, Scattering (Mathematics), Coulomb potential, Quadratic forms |
| Abstract: |
We study a multidimensional inverse scattering problem under the time-dependent repulsive Hamiltonian 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 Schrödinger operator and the time-independent repulsive Hamiltonian 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. [ABSTRACT FROM AUTHOR] |
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| Database: |
Engineering Source |
