The extrinsic and intrinsic curvature of a two-dimensional waveguide influences wave
propagation therein. While this can already be apprehended from a geometric point of view …

In this work, the study was focused on how deformable spacetime gives rise to physical
laws, particularly quantum and special relativity. It was shown that both the Lorentz factor …

The thin‐layer quantization procedure is used to study the physical implications due to
curvature effects on a quantum dot in the presence of an external magnetic field. Among the …

We study the model of a noninteracting spinless electron gas confined to the two-
dimensional localized surface of a cone in the presence of external magnetic fields. The …

We describe a quantum particle constrained on a catenoid, employing an effective
description of quantum mechanics based on expected values of observables and quantum …

The real Hilbert space formalism developed within the quaternionic quantum mechanics
($\mathbb H $ QM) is fully applied to the simple model of the autonomous particle. This …

In this study, we discuss a particle which is the constraint on a four-dimensional Euclidean
space ℝ 4. In this respect and under the framework of Dirac's approach, we analyze the …

We describe a quantum particle constrained on a catenoid, employing an effective
description of quantum mechanics based on expected values of observables and quantum …

Resumo Condensados de Bose-Einstein são sistemas macroscópicos excelentes para a
observação do comportamento quântico da matéria. Desde sua realização experimental em …

In this article, we study the constrained motion of a free particle on a hyperboloid of
revolution of one sheet in the framework of Dirac's approach as a two-dimensional surface …