2 citations · 2 across the 4 of their papers we have counts for
5 papers
Surface scalar plasmons on curved interfaces: a venue for analogue gravity
Matheus E. Pereira
We investigate whether the geometry of a curved conductor--dielectric interface can modify the effective mass and propagation of scalar surface plasmons (SSPs). In the hydrodynamic…
Perturbative aspects of analogue FLRW spacetime Jellium models
Matheus E. Pereira, Hermano Velten, Francisco B. Lustosa +1
We study electro-acoustic perturbative modes in homogeneous, isotropic and expanding -- dubbed as Friedmann-Lemaitre-Robertson-Walker (FLRW) -- Jellium models, thereby mimicking de…
Molecular analogue for scalar dynamics in an AII metric
Davi de Moura Esposti Moreira, Matheus Elias Pereira, Alexandre Grezzi de Miranda Schmidt
Tachyons are hypothetical particles that propagate faster than light, yet they have never been observed in nature or in the laboratory. In this work, we introduce the molec…
Schrödinger equation is -separable in toroidal coordinates
Matheus E. Pereira, Alexandre G. M. Schmidt
We present, for the first time, exact solutions for the Schrödinger equation in Moon and Spencer's toroidal coordinates, and in the electromagnetic toroidal--poloidal coordinate sy…
Analogue black string in a quantum harmonic oscillator
Matheus E. Pereira, Alexandre G. M. Schmidt
For a scalar particle without self-interaction or backreaction from the space-time background, the dynamics are governed by the Klein-Gordon equation. In this work, we write the ex…