Dual wavefunctions in two-dimensional quantum mechanics
Author
dc.contributor.author
Hojman Guiñerman, Sergio
Author
dc.contributor.author
Asenjo, Felipe
Admission date
dc.date.accessioned
2020-05-20T22:17:50Z
Available date
dc.date.available
2020-05-20T22:17:50Z
Publication date
dc.date.issued
2020
Cita de ítem
dc.identifier.citation
Physics Letters A 384 (2020) 126263
es_ES
Identifier
dc.identifier.other
10.1016/j.physleta.2020.126263
Identifier
dc.identifier.uri
https://repositorio.uchile.cl/handle/2250/174890
Abstract
dc.description.abstract
It is shown that the Schrodinger equation for a large family of pairs of two-dimensional quantum potentials possess wavefunctions for which the amplitude and the phase are interchangeable, producing two different solutions which are dual to each other. This is a property of solutions with vanishing Bohm potential. These solutions can be extended to three-dimensional systems. We explicitly calculate dual solutions for physical systems, such as the repulsive harmonic oscillator and the two-dimensional hydrogen atom. These dual wavefunctions are also solutions of an analogue optical system in the eikonal limit. In this case, the potential is related to the refractive index, allowing the study of this two-dimensional dual wavefunction solutions with an optical (analogue) system.