Julio Melgarejo - Academia.edu (original) (raw)

Julio Melgarejo

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Papers by Julio Melgarejo

Research paper thumbnail of Dynamics of a two-level atom in a double perpendicular cavity

Photonics Letters of Poland, 2015

We propose a variation of the Jaynes-Cummings Model (JCM), which consists of a Two-Level Atom (TL... more We propose a variation of the Jaynes-Cummings Model (JCM), which consists of a Two-Level Atom (TLA) within a cross cavity configuration. This new geometry is a suitable tool to understand the origin of new QED features that the original JCM does not reveal, showing revivals in cases where they are not expected to appear.

Research paper thumbnail of A Simple Mathematical Formulation of the Correspondence Principle

In this paper we suggest a simple mathematical procedure to derive the classical probability dens... more In this paper we suggest a simple mathematical procedure to derive the classical probability density of quantum systems via Bohr's correspondence principle. Using Fourier expansions for the classical and quantum distributions, we assume that the Fourier coefficients coincide for the case of large quantum number. We illustrate the procedure by analyzing the classical limit for the quantum harmonic oscillator and the particle in a box, although the method is quite general. We find, in an analytical fashion, the classical distribution arising from the quantum one as the zeroth order term in an expansion in powers of Planck's constant. We interpret the correction terms as residual quantum effects at the microscopic-macroscopic boundary.

Research paper thumbnail of Dynamics of a two-level atom in a double perpendicular cavity

Photonics Letters of Poland, 2015

We propose a variation of the Jaynes-Cummings Model (JCM), which consists of a Two-Level Atom (TL... more We propose a variation of the Jaynes-Cummings Model (JCM), which consists of a Two-Level Atom (TLA) within a cross cavity configuration. This new geometry is a suitable tool to understand the origin of new QED features that the original JCM does not reveal, showing revivals in cases where they are not expected to appear.

Research paper thumbnail of A Simple Mathematical Formulation of the Correspondence Principle

In this paper we suggest a simple mathematical procedure to derive the classical probability dens... more In this paper we suggest a simple mathematical procedure to derive the classical probability density of quantum systems via Bohr's correspondence principle. Using Fourier expansions for the classical and quantum distributions, we assume that the Fourier coefficients coincide for the case of large quantum number. We illustrate the procedure by analyzing the classical limit for the quantum harmonic oscillator and the particle in a box, although the method is quite general. We find, in an analytical fashion, the classical distribution arising from the quantum one as the zeroth order term in an expansion in powers of Planck's constant. We interpret the correction terms as residual quantum effects at the microscopic-macroscopic boundary.

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