Phase-retrieval from Bohm’s equations
Departamento Acadêmico de Ciências da Natureza (DACIN), Campus Cornélio Procópio (CP), Federal University of Technology – Parana (UTFPR), Avenida Alberto Carazzai 1640, 86300-000, Cornélio Procópio, PR, Brazil
2 São Carlos Institute of Physics (IFSC), University of São Paulo (USP), PO Box 369, 13560-970, São Carlos, SP, Brazil
Accepted: 18 November 2020
Published online: 1 December 2020
We present an analytic method, based on the Bohmian equations for quantum mechanics, for approaching the phase-retrieval problem in the following formulation: by knowing the probability density and the energy potential of a system, how can one determine the complex state ? We illustrate our method with three classic examples involving Gaussian states, suggesting applications to quantum state and Hamiltonian engineering.
© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2021