Dynamics of Particle in Confined-Harmonic Potential in External Static Electric Field and Strong Laser Field

Abstract

Dynamics of a particle in confined-harmonic potential, subjected to external static electric and time-dependent laser fields is studied. The energy levels and wave functions of unperturbed harmonic oscillator are evaluated using B-polynomial Galerkin method. Matrix formulation is used throughout the procedure. This procedure is very simple and efficient in comparison with other methods. Modifications of wave functions and energy levels due to static electric field are also calculated. Finally, absorption spectra of such a driven oscillator are studied and explained.

Two Photon Processes in an Atom Confined in Gaussian Potential

“…Also, CdSe quantum rods have been shown to exhibit four times larger TPA as compared to quantum dots of the same mass [24]. Similar studies have recently been initiated with much vigor in the case of atoms and ions confined in a variety of plasma environments and other confinements [25][26][27][28][29][30][31][32][33][34][35][36]. Some works on two-photon transitions in atoms or ions employing the Ion-Sphere model [37] for strongly-coupled plasmas were also reported in the literature [34,38,39].…”

“…Optical properties like oscillator strength and polarizability had been calculated for a hydrogen atom under the effect of Gaussian potential and loose spherical confinement in our earlier work [26]. The method used for solving the Schrödinger equation is based on Bernstein-polynomials (B-polynomials) and is detailed elsewhere [29][30][31][32]43,44]. Only the basic outline of the approach followed for the present work has been mentioned in the following text.…”

Non-perturbative multiphoton excitation studies in an excitonic coupled quantum well system using high-intensity THz laser fields

“…We provide the study of the variation of Floquet states and quasienergies as a function of the laser field parameters (strength and frequency) as well as dc electric field. The method has been successfully applied in the molecular as well as in quantum heterostructures [27][28][29] to study the evolution of states. The quantum wells are the budding candidates for these studies as they have the advantage in adjustable design, prolong dephasing times, considerable dephasing rates (∼ 10 ps), tractable interference strength, and large electric dipole moment as compared to other quantum well structures.…”

Two-photon transitions in confined hydrogenic atoms

“…The effect of confinement on two-photon processes has been dealt with in detail. The spectrum of confined atom is evaluated using B-polynomial method [30][31][32][33].…”