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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Exact and Gerchberg-Saxton solutions of the one-dimensional Pauli problem with Gaussian probability densities

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Silva, Murillo R. [1] ; Bruno-Alfonso, Alexys [1]
Total Authors: 2
[1] Sao Paulo State Univ, UNESP, Dept Math, BR-17033360 Bauru, SP - Brazil
Total Affiliations: 1
Document type: Journal article
Source: Physical Review A; v. 103, n. 1 JAN 14 2021.
Web of Science Citations: 0

The exact phase of one-dimensional quantum states with given Gaussian probability densities in the position and momentum representations is retrieved. The number of Pauli partners that are found depends on whether the Heisenberg uncertainty relation for position and momentum is saturated or not. Without saturation, two Pauli partners are found. They differ in the sign of the time derivative of their position uncertainties. The same problem is solved by an exact implementation of the Gerchberg-Saxton algorithm. Its convergence depends on uncertainty saturation as well. (AU)

FAPESP's process: 18/16631-3 - The phase problem in quantum mechanics: wave function retrieval from probability densities
Grantee:Murillo Rodrigues Silva
Support Opportunities: Scholarships in Brazil - Scientific Initiation