453 citations
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24 papers · 1 filter
Effects of rotation and Coulomb type potential on the spin-1/2 Aharonov-Bohm problem
Márcio M. Cunha, Fabiano M. Andrade, Edilberto O. Silva
In this work, we investigate how both rotation and a Coulomb potential affect the quantum mechanical description of a spin- particle in the presence of the Aharonov-Bohm effec…
A proof of Sanov's Theorem via discretizations
Rangel Baldasso, Roberto I. Oliveira, Alan Pereira +1
We present an alternative proof of Sanov's theorem for Polish spaces in the weak topology that follows via discretization arguments. We combine the simpler version of Sanov's Theor…
Exponential decay for Constrained-degree percolation
Diogo C. dos Santos, Roger W. C. Silva
We consider the Constrained-degree percolation model in random environment (CDPRE) on the square lattice. In this model, each vertex has an independent random constraint …
Inferring galaxy dark halo properties from visible matter with Machine Learning
Rodrigo von Marttens, Luciano Casarini, Nicola R. Napolitano +6
Next-generation surveys will provide photometric and spectroscopic data of millions to billions of galaxies with unprecedented precision. This offers a unique chance to improve our…
Universal dynamical scaling laws in three-state quantum walks
P. R. N. Falcão, A. R. C. Buarque, W. S. Dias +2
We perform a finite-time scaling analysis over the detrapping point of a three-state quantum walk on the line. The coin operator is parameterized by that controls the wavepacke…
Controllability for Schrödinger type system with mixed dispersion on compact star graphs
Roberto de A. Capistrano-Filho, Márcio Cavalcante, Fernando Gallego
In this work we are concerned with solutions to the linear Schrödinger type system with mixed dispersion, the so-called biharmonic Schrödinger equation. Precisely, we are able to p…