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18 papers · 1 filter
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…
Analytical shortcuts to adiabaticity of weakly driven processes
Pierre Nazé
The analytical expression for shortcuts to adiabaticity for any switching time and any thermally isolated system performing a finite-time and weakly driven process is presented. It…
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…
Dynamical Casimir effect enhanced by decreasing the mirror reflectivity
Andreson L. C. Rego, Alessandra N. Braga, Jeferson Danilo L. Silva +1
In the present paper, we show that a partially reflecting static mirror with time-dependent properties can produce, via dynamical Casimir effect in the context of a massless scalar…
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…
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…