4 papers
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 a tachyonic 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 hydrogen mole…
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 s…
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…