Integral representation of one dimensional three particle scattering for delta function interactions

The Schr\"{o}dinger equation, in hyperspherical coordinates, is solved in closed form for a system of three particles on a line, interacting via pair delta functions. This is for the case of equal masses and potential strengths. The interactions are replaced by appropriate boundary conditions. This leads then to requiring the solution of a free-particle Schr\"{o}dinger equation subject to these boundary conditions. A generalized Kontorovich - Lebedev transformation is used to write this solution as an integral involving a product of Bessel functions and pseudo-Sturmian functions. The coefficient of the product is obtained from a three-term recurrence relation, derived from the boundary condition. The contours of the Kontorovich-Lebedev representation are fixed by the asymptotic conditions. The scattering matrix is then derived from the exact solution of the recurrence relation. The wavefunctions that are obtained are shown to be equivalent to those derived by McGuire. The method can clearly be applied to a larger number of particles and hopefully might be useful for unequal masses and potentials.Comment: 18 pages, 2 figures, to be published in J. Math. Phy

Intermanifold similarities in partial photoionization cross sections of helium

Using the eigenchannel R-matrix method we calculate partial photoionization cross sections from the ground state of the helium atom for incident photon energies up to the N=9 manifold. The wide energy range covered by our calculations permits a thorough investigation of general patterns in the cross sections which were first discussed by Menzel and co-workers [Phys. Rev. A {\bf 54}, 2080 (1996)]. The existence of these patterns can easily be understood in terms of propensity rules for autoionization. As the photon energy is increased the regular patterns are locally interrupted by perturber states until they fade out indicating the progressive break-down of the propensity rules and the underlying approximate quantum numbers. We demonstrate that the destructive influence of isolated perturbers can be compensated with an energy-dependent quantum defect.Comment: 10 pages, 10 figures, replacement with some typos correcte

Space Charge at Nanoscale: Probing Injection and Dynamic Phenomena Under Dark/Light Configurations by Using KPFM and C-AFM

International audienc

"Special section on: Next Generation Solar Cells", Solar Energy Materials and Solar Cells

International audienc

Photonic crystals for imporving light absorption in organic solar cells

International audienc

"Special section on: Next Generation Solar Cells", Solar Energy Materials and Solar Cells

International audienc

Collection and conversion of light into electricity using rectenna technology.

International audienc

Matrix description of the anisotropy of the inter-sub-band transition of a quantum multi-pit structure

International audienc

Description matricielle de l'anisotropie de la transition inter-sous-bande d'une structure à multi-puits quantiques

Dans un puits quantique, les transitions radiatives inter-sous-bande sont telles que seule la composante du champ électrique parallèle à l'axe de croissance est affectée. Cette spécificité confère à l'absorption un caractère foncièrement anisotrope. Nous établissons la matrice de transfert d'une structure à multi-puits quantiques en assimilant chaque puits à une couche mince anisotrope uniaxe. À l'anisotropie intrinsèque (règles de sélection) se superpose une anisotropie structurelle (biréfringence de forme). Les symétries du système permettent néanmoins de découpler les états de polarisation ($s$) et ($p$)