Abstract
Inverse formulas for the energy potential level and the effective electron mass within an unknown quantum material are obtained, solely based on the transmission probabilities of obliquely incident beams through a thin lamellar sample. The estimator is robust-to-noise and does not require phase unwrapping of the wave functions; importantly, it is very reliable for low-contrast samples and high impinging energies. Even when the proposed method fails to deliver an accurate prediction, it can serve well the purpose of disclosing the identity of the medium in the case it has been picked from a well-known list. The introduced scheme may constitute the first step toward flawless generic estimation of quantum texture if implemented multiple times for various energies or incidence angles, and the collected data are post-processed by suitable algorithmic routines.