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quant-ph2025
Exact solvability of the Gross-Pitaevskii equation for bound states subjected to general potentials
M. Mirón, E. Sadurní
In this paper we present the analytic solution to the problem of bound states of the Gross-Pitaevskii (GP) equation in 1D and its properties, in the presence of external potentials…
quant-ph2025
An exactly solvable tight-binding billiard in graphene
D. Condado, E. Sadurní
A triangular graphenic billiard is defined as a planar carbon polymer in the Hückeloid approximation of band electrons. It is shown that the equilateral triangle of arbitrary s…
quant-ph2022
Exact Green's functions for localized irreversible potentials
J. I. Castro--Alatorre, D. Condado, E. Sadurní
We study the quantum-mechanical problem of scattering caused by a localized obstacle that breaks spatial and temporal reversibility. Accordingly, we follow Maxwell's prescription t…