The Jaynes–Cummings Model (JCM) has recently been receiving increased attention as
one of the simplest, yet intricately nonlinear, models of quantum physics. Emphasising the …

In this paper, the Discrete Sources Method has been extended to describe the influence of
the geometry asymmetry of a core-shell particle accounting for the effect of spatial dispersion …

Heun differential equations are the most general second order Fuchsian equations with four
regular singularities. An explicit integral series representation of Heun functions involving …

The solution of the Schrödinger equation for the two quasi-exactly solvable potentials is
presented using the Lie algebra approach. It is shown that all models give rise to the same …

Heun differential equations are the most general second order Fuchsian equations with four
regular singularities. An explicit integral series representation of Heun functions involving …

This chapter, by far the longest in the book, introduces the Jaynes–Cummings (JC)
Hamiltonian as a theoretical model. The first two sections go through its analytical solutions …

Desde mediados del pasado siglo, la utilización de distintos espacios de funciones para
hacer representaciones en Mecánica Cuántica ha ido cobrando mayor relevancia. Este …