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20212024
most citedExact solution of a time-dependent quantum harmonic oscillator with two frequency jumps via the Lewis-Riesenfeld dynamical invariant method

13 citations · 45 across the 17 of their papers we have counts for

collaborators

17 papers

quant-ph2024

Curvature effects on the regimes of the lateral van der Waals force

Alexandre P. Costa, Lucas Queiroz, Danilo T. Alves

Recently, it has been shown that, under the action of the lateral van der Waals (vdW) force due to a perfectly conducting corrugated plane, a neutral anisotropic polarizable partic…

quant-ph2024★ 2 cited

The time-dependent quantum harmonic oscillator: a pedagogical approach via the Lewis-Riesenfeld dynamical invariant method

Stanley S. Coelho, Lucas Queiroz, Danilo T. Alves

In quantum mechanics courses, students often solve the Schrödinger equation for the harmonic oscillator with time-independent parameters. However, time-dependent quantum harmonic o…

physics.ed-ph2024

Polarization and energy ellipsoids for an introductory visualization of tensors

Danilo T. Alves, Lucas Queiroz, Jeferson Danilo L. Silva

In ``The Feynman Lectures on Physics'' is discussed an introduction to tensors by means of the polarization tensor, including a way of ``visualizing'' this tensor via the energy el…

quant-ph2024

Influence of retardation and dispersive surfaces on the regimes of the lateral Casimir-Polder force

Lucas Queiroz

We investigate, by means of the scattering approach, the Casimir-Polder interaction between a neutral anisotropic polarizable particle and a corrugated surface made of a realistic…

math.DS2023

The period of the limit cycle bifurcating from a persistent polycycle

David Marín, Lucas Queiroz, Jordi Villadelprat

We consider smooth families of planar polynomial vector fields , where is an open subset of , for which there is a hyperbolic polycycle that…

quant-ph2023

Squeezing equivalence of quantum harmonic oscillators under different frequency modulations

Stanley S. Coelho, Lucas Queiroz, Danilo T. Alves

The papers by Janszky and Adam [Phys. Rev. A {\bf 46}, 6091 (1992)] and Chen \textit{et al.} [Phys. Rev. Lett. {\bf 104}, 063002 (2010)] are examples of works where one can find th…

quant-ph2022★ 13 cited

Exact solution of a time-dependent quantum harmonic oscillator with two frequency jumps via the Lewis-Riesenfeld dynamical invariant method

Stanley S. Coelho, Lucas Queiroz, Danilo T. Alves

Harmonic oscillators with multiple abrupt jumps in their frequencies have been investigated by several authors during the last decades. We investigate the dynamics of a quantum har…

quant-ph2022★ 4 cited

Sign inversion in the lateral van der Waals force between an anisotropic particle and a plane with a hemispherical protuberance: an exact calculation

Lucas Queiroz, Edson C. M. Nogueira, Danilo T. Alves

We investigate the lateral van der Waals (vdW) force between an anisotropic polarizable particle and a perfectly conducting plane with a hemispherical protuberance with radius .…

quant-ph2022

Curvature-induced repulsive effect on the lateral Casimir-Polder--van der Waals force

Danilo T. Alves, Lucas Queiroz, Edson C. M. Nogueira +1

We consider a perfectly conducting infinite cylinder with radius , and investigate the Casimir-Polder (CP) and van der Waals (vdW) interactions with a neutral polarizable partic…

physics.ed-ph2022

Introducing the notion of tensors through a variation of a Feynman didactic approach

Lucas Queiroz, Edson C. M. Nogueira, Danilo T. Alves

In one of his books [, vol. 2], Feynman presents a didactic approach to introduce basic ideas about tensors, using, as a first example, t…

quant-ph2021★ 6 cited

Regimes of the lateral van der Waals force in the presence of dielectrics

Lucas Queiroz, Edson C. M. Nogueira, Danilo T. Alves

In a recent paper, it was shown that, under the action of the lateral van der Waals (vdW) force due to a perfectly conducting corrugated surface, a neutral anisotropic polarizable…

math.DS2021★ 4 cited

Analytic Nilpotent Centers on Center Manifolds

Claudio Pessoa, Lucas Queiroz

Consider analytical three-dimensional differential systems having a singular point at the origin such that its linear part is for some . The res…

physics.ed-ph2021

Introducing corrugated surfaces in electromagnetism problems via perturbative approach

Alexandre P. da Costa, Lucas Queiroz, Edson C. M. Nogueira +1

Problems involving boundary conditions on corrugated surfaces are relevant to understand nature, since, at some scale, surfaces manifest corrugations that have to be taken into acc…

math.DS2021

Nilpotent Centers in

Lucas Queiroz, Claudio Pessoa

Consider analytical three-dimensional differential systems having a singular point at the origin such that its linear part is for some . The res…

quant-ph2021★ 7 cited

Sign inversion in the lateral van der Waals force

Edson C. M. Nogueira, Lucas Queiroz, Danilo T. Alves

We consider a single slight protuberance in a perfectly conducting plane, and investigate the van der Waals (vdW) interaction between this surface and a neutral polarizable particl…

math.DS2021

Monodromic nilpotent singular points with odd Andreev number and the center problem

Claudio Pessoa, Lucas Queiroz

Given a nilpotent singular point of a planar vector field, its monodromy is associated with its Andreev number . The parity of determines whether the existence of an inverse…

quant-ph2021★ 9 cited

Peak, valley and intermediate regimes in the lateral van der Waals force

Edson C. M. Nogueira, Lucas Queiroz, Danilo T. Alves

We study the van der Waals (vdW) interaction between a polarizable particle and a grounded conducting corrugated surface. For sinusoidal corrugations, one knows that, under the act…