Francis Segovia-Chaves scite author profile

2018

Rev. Mex. Fis. E

In this paper, the solution to the Hamilton-Jacobi equation for the one-dimensional harmonic oscillator damped with the Caldirola-Kanai model is presented. Making use of a canonical transformation, we calculate the Hamilton characteristic function. It was found that the position of the oscillator shows an exponential decay similar to that of the oscillator with damping where the decay is more pronounced when increasing the damping constant γ. It is shown that when γ = 0, the behavior is of an oscillator with simple harmonic motion. However, unlike the damped harmonic oscillator where the linear momentum decays with time, in the case of the oscillator with the Caldirola-KanaiHamiltonian, the momentum increases as time increases due to an exponential growth of the mass m(t) = meγt.

show abstract

Dependence of photonic defect modes on hydrostatic pressure in a 2D hexagonal lattice

Physica E: Low-dimensional Systems and Nanostructures

2018

Transmittance spectrum of a superconductor-semiconductor quasiperiodic one-dimensional photonic crystal

Physica C: Superconductivity and its Applications

2019

Tuning of transmittance spectrum in a one-dimensional superconductor-semiconductor photonic crystal

Physica B: Condensed Matter

2018

Dependence of the defect mode with temperature, pressure and angle of incidence in a 1D semiconductor-superconductor photonic crystal

Physica C: Superconductivity and its Applications

2018

Linear defect in two-dimensional photonic crystals of equilateral triangles

Navarro-Barón

2020

Optik

Transmittance spectrum in a 1D photonic crystal composed fused silica and sea water

Dhasarathan³

et al. 2019

Optik

Photonic band structure in a two-dimensional hexagonal lattice of equilateral triangles

2019