Generation of optical harmonics in atoms

Abstract

The proximity technique (face-to-face) has been used for annealing of WSi,,, and TiSi, contacts on GaAs. This technique eliminates the need for encapsulation of GaAs or A s overpressure. The contacts were stable up to an annealing temperature of 900 ' C with little degradation of electrical properties. The Richardson constant decreased sharply at high annealing temperature which may have been d u e to creation of defects at !he interface.

Polarizability and hyperpolarizability of Li+ calculated from the DC-Stark shift

“…The methods that have been previously applied include direct Hartree-Fock approaches [17], perturbation theory connected with Hartree-Fock basis set functions [15] or to other zeroth-order basis set functions [16,19], and variational approaches [18,20]. Bishop and co-workers have applied a variational-perturbation approach, which can be treated as accurate [21,22] as a similar calculation for helium presented by the same group [25].…”

10.1007/s11449-008-2001-1

“…Thus, up to corrections of the second order with respect to F 0 , matrix element (6) can be represented in the form (13) where is the matrix element of the electric dipole transition of the free atom at F 0 = 0, and are the coefficients of the corrections to the matrix element, respectively, linear and quadratic in F 0 .…”

“…Here, the quantities β i , , are the so-called sum rules S(-3) of the oscillator strengths for the ground and excited states, which can be represented as matrix elements that have the same form as the matrix elements of polarizabilities (5), but with the Green's functions being replaced by their squares (see, e.g., [13,14]). In particular,…”

“…For numerical calculations, the wave functions and the Green's function were analytically represented using the method of the single-electron Fues model potential [13]. The radial wave function of the Fues model potential has the form…”

The extended supersymmetrization of the multicomponent Kadomtsev - Petviashvilli hierarchy

“…The corresponding flows could be constructed by means of fractional power method [5]. For n=1, one has multicomponent AKNS hierarchy, which includes coupled Nonlinear Schrödinger [49] equation as an example. For the case n=2 and n=3 one has the multicomponent Yajima -Oikawa [16] and Melnikov hierarchy [50] respectively.…”