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Long-range scattering
matrix for Schrödinger-type operators
Shu Nakamura |
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Vol. 15 (2022), No. 7, 1725–1762
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Abstract |
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We show that the scattering matrix for a class of Schrödinger-type operators with long-range perturbations is a Fourier integral operator with phase function which is the generating function of the modified classical scattering map. |
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Keywords
scattering matrix, long-range scattering, Fourier integral
operators
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Mathematical Subject Classification 2010
Primary: 35P25
Secondary: 58J50, 81U05
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Milestones
Received: 18 March 2020
Revised: 4 February 2021
Accepted: 25 March 2021
Published: 5 December 2022
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Authors |
| Shu Nakamura | |
| Department of Mathematics Gakushuin University Tokyo Japan |
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