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The Response to a Perturbation in the Reflection Amplitude

Mathematical Physics 2009-11-10 v1 Other Condensed Matter High Energy Physics - Theory math.MP Quantum Physics

Abstract

We apply inverse scattering theory to calculate the functional derivative of the potential V(x)V(x) and wave function ψ(x,k)\psi(x,k) of a one-dimensional Schr\"odinger operator with respect to the reflection amplitude r(k)r(k).

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Cite

@article{arxiv.math-ph/0402004,
  title  = {The Response to a Perturbation in the Reflection Amplitude},
  author = {Joshua Feinberg},
  journal= {arXiv preprint arXiv:math-ph/0402004},
  year   = {2009}
}

Comments

16 pages, no figures

R2 v1 2026-07-22T16:23:56.512Z