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Potential Reconstruction in Inverse Problems

Updated 6 July 2026
  • Potential reconstruction is the inference of an unknown potential from indirect observables by solving an inverse problem formulated via PDEs, SDEs, or boundary data.
  • This topic spans applications in quantum mechanics, astrophysics, and microscopy, employing methods like regularization, Bayesian estimation, and forward modeling.
  • The approach integrates forward maps with inverse algorithms to recover latent potentials, offering precise insights into phenomena such as dark-energy dynamics and cluster gravitational fields.

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55 55 55 55 55 55 55 OR abs:\555 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 techniques for complex potentials55^ 55 55 55 55 55^( 55 55 55 55 55 55 55 55 55 Calderon Problem Revisited: Reconstruction With Resonant Perturbations55^ 55 55 55 55 55 55 55 of effective potential from statistical analysis of dynamic trajectories55, 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55^( OR abs:\555 55 55^ 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55^ 55 55 55 55 55 55 55 55^ 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 OR abs:\555 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 techniques for complex potentials55^ 55 55 55 55 55 Calderon Problem Revisited: Reconstruction With Resonant 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55 55 55 55 55 55 55 55 55 55 55 55 55 55 techniques for complex potentials55^ 55 55 55 55 55 55 55 OR abs:\555 55 Calderon Problem Revisited: Reconstruction With Resonant Perturbations55^ 55 55 55^ 55 of effective potential from statistical analysis of dynamic trajectories55^ 55^ 55 55^ 55 techniques for complex potentials55 55^ 55 55 55 techniques for complex potentials55 55 55 55 techniques for complex potentials55 55 55 55 55 55 55 55 55 55 techniques for complex potentials55 55 55 55 55 techniques for complex potentials55 OR abs:\555 55 55 55 55 55 techniques for complex potentials555 55 55 55 55 55 55 55 55 55 55 55 55 techniques for complex potentials55relevance55 55 55^ 55 55 OR abs:\555 55 55 55 55 55 55 55 55 55^ 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55^ 55 techniques for complex potentials55Reconstruction techniques for complex potentials55^ 55^ 55 55^ 55 techniques for complex potentials55The Calderon Problem Revisited: Reconstruction With 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