Static polarizability of an atom confined in Gaussian potential

Two Photon Processes in an Atom Confined in Gaussian Potential

“…The probability amplitudes from 1s to js (j = 2,3, 4) and jd (j = 3, 4) states have been calculated using Equations (4) and (6), respectively, for different incident photon frequencies that are assumed to lie in the interval ∆E i, f /2 to ∆E i, f . This range of frequencies is a function of both V 0 and σ, since the calculated energy spectrum is dependent on these parameters [26]. The selected range is found to shift towards higher frequencies with an increase in both V 0 and σ.…”

“…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].…”

“…The atom is supposed to be confined spherically with impenetrable walls, such that the wave functions vanish at the boundary r = r 0 , where r 0 is assumed to have a fixed value of 50 a.u. This is the case of loose spherical confinement as discussed in earlier texts [25][26][27][28][29][30]. The energy spectrum and dipole matrix elements of the system have been evaluated by solving the corresponding radial Schrödinger equation with the aim to study the two-photon spectra which refers to the excitation process generated by the simultaneous absorption of two less-energetic photons under sufficiently intense laser illumination.…”

“…The variation of these properties with the Gaussian confinement parameters V 0 and σ has been studied. 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].…”

“…The confinement produces many striking changes in the spectrum of the confining system, such as the phenomenon of continuum lowering and the polarization red shift [3]. In particular, the Gaussian confinement causes drastic changes in the physical properties of a confined atom [26]. The Gaussian confining potential has many applications in modelling of the atoms and molecules confined in a cage of carbon [40].…”