The response to a perturbation in the reflection amplitude
Abstract
We apply inverse scattering theory to calculate the functional derivative of the potential V(x) and wavefunction ψ(x, k) of a one-dimensional Schrödinger operator with respect to the reflection amplitude r(k).
- Publication:
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Journal of Physics A Mathematical General
- Pub Date:
- October 2004
- DOI:
- arXiv:
- arXiv:math-ph/0402004
- Bibcode:
- 2004JPhA...3710261F
- Keywords:
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- Schrödinger operator inverse scattering theory Gelfand–Levitan–Marchenko equation soliton SUSY QM;
- Mathematical Physics;
- Other
- E-Print:
- 16 pages, no figures