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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.)

Phase-retrieval from Bohm's equations

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Author(s):
Brasil, Carlos Alexandre [1, 2] ; Moussa, Miled Hassan Youssef [1] ; Napolitano, Reginaldo de Jesus [1]
Total Authors: 3
Affiliation:
[1] Univ Sao Paulo, Sao Carlos Inst Phys IFSC, POB 369, BR-13560970 Sao Carlos, SP - Brazil
[2] Fed Univ Technol Parana UTFPR, Dept Acad Ciencias Nat DACIN, Campus Cornelio Procopio CP, Ave Alberto Carazzai, BR-86300000 Cornelio Procopio, PR - Brazil
Total Affiliations: 2
Document type: Journal article
Source: EUROPEAN PHYSICAL JOURNAL PLUS; v. 135, n. 12 DEC 1 2020.
Web of Science Citations: 0
Abstract

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 <mml:mfenced close={''}|{''} open={''}|{''}>psi <mml:mfenced close={''}){''} open={''}({''}>r -></mml:mover>,t</mml:mfenced></mml:mfenced>2 and the energy potential V<mml:mfenced close={''}){''} open={''}({''}>r -></mml:mover>,t</mml:mfenced> of a system, how can one determine the complex state psi <mml:mfenced close={''}){''} open={''}({''}><mml:mover accent={''}true{''}>r<mml:mo stretchy={''}false{''}>-></mml:mover><mml:mo>,t</mml:mfenced>? We illustrate our method with three classic examples involving Gaussian states, suggesting applications to quantum state and Hamiltonian engineering. (AU)

FAPESP's process: 18/00796-3 - Quantum-information processing under the auspices of the scattering-matrix formalism
Grantee:Reginaldo de Jesus Napolitano
Support type: Regular Research Grants