Dual wavefunctions in two–dimensional quantum mechanics

Sergio A. Hojman, Felipe A. Asenjo

Producción científica: Contribución a una revistaArtículorevisión exhaustiva

10 Citas (Scopus)


It is shown that the Schrödinger 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 Böhm 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.

Idioma originalInglés
Número de artículo126263
PublicaciónPhysics Letters, Section A: General, Atomic and Solid State Physics
EstadoPublicada - 7 may. 2020


Profundice en los temas de investigación de 'Dual wavefunctions in two–dimensional quantum mechanics'. En conjunto forman una huella única.

Citar esto