Abstract:
For solving the $2\to 2,3$ three-body Coulomb scattering problem the Faddeev-Merkuriev integral equations in discrete Hilbert-space basis representation are considered. It is shown that as far as scattering amplitudes are considered the error caused by truncating the basis can be made arbitrarily small. By this truncation also the Coulomb Green's operator is confined onto the two-body sector of the three-body configuration space and in leading order can be constructed with the help of convolution integrals of two-body Green's operators. For performing the convolution integral an integration contour is proposed that is valid for all energies, including bound-state as well as scattering energies below and above the three-body breakup threshold.

Abstract:
Continuously studied and newly identified oribatids from Madagascar (Malagasy Republic) are given. Altogether14 species are listed and discussed originating from several sites of the island. Nine species of them are new to science and someother were known only from other territories. Four species are recorded from Madagascar for the first time. With 11 figures.

Abstract:
Newly studied and identified oribatids are presented from Kenya. Altogether 14 species are listed, among them six – Oribotritia (Berndotritia) microsetosa sp. n., Eremulus csuzdii sp. n., Austrocarabodes patakii sp. n., Dolicheremaeus borbolai sp. n., Teratoppia (Teratoppia) nasalis sp. n., Galumna (Bigalumna) rimosa sp. n. – are described as new to science. One of the new species, Galumna (Bigalumna) rimosa sp. n. represents a new subgenus as well. With 33 figures.

Abstract:
Two new (Megazetes lineatus and Hypozetes stellifer spp. nov.) and a little known oribatid species are describedfrom different regions in Kenya. Scapheremaeus hungarorum Mahunka, 1986 described originally from Tanzania is reported firsttime from this country. The three species discussed belong to three different families of Oribatida: Microzetidae, Tegoribatidaeand Cymbaeremaeidae, respectively. Some notes on the relationships of the new species and redescription of S. hungarorum arealso given. With 10 figures.

Abstract:
Collecting at several sites in Hungary yielded six Oribatida species rare in Hungary [Verachthonius diversus Moritz, 1976, Damaeolus ornatissimus Csiszár, 1962, Berniniella setilonga Iturrondobeitia et Salofia, 1988, Suctobelba discrepans Moritz, 1970, Suctobelbella messneri Moritz, 1971, Bipassalozetes striatus (Mihel i , 1955)] and two new to the science (Amerioppia hortensis, Urubambates xerophilus spp. n.). These results complement the knowledge of Hungarian oribatids and the distribution data in their catalogue published earlier (Mahunka and Mahunka-Papp 2004). Synonymies of some earlier described species from Hungary are given. With 16 figures.

Abstract:
A list of 111 oribatid species collected at several sites in Albania is presented. Four of them (Carabodes csikii, Dissorhina shqipetarica, Chamobates (Xiphobates) latissimus and Scheloribates salebrosus spp. n.) are new to science. Some notes on rare or little known species are also given. With 25 figures.

Abstract:
It is shown from rigorous three-body Faddeev calculations that the masses of all 14 lowest states in the $N$ and $\Delta$ spectra can be described within a constituent quark model with a Goldstone-boson-exchange interaction plus linear confinement between the constituent quarks.

Abstract:
Using suitable magnetic flux operators established in terms of discrete derivatives leads to quantum-mechanical descriptions of LC-circuits with an external time dependent periodic voltage. This leads to second order discrete Schrodinger equations provided by discretization conditions of the electric charge. Neglecting the capacitance leads to a simplified description of the L-ring circuit threaded by a related time dependent magnetic flux. The equivalence with electrons moving on one dimensional (1D) lattices under the influence of time dependent electric fields can then be readily established. This opens the way to derive dynamic localization conditions serving to applications in several areas, like the time dependent electron transport in quantum wires or the generation of higher harmonics by 1D conductors. Such conditions, which can be viewed as an exact generalization of the ones derived before by Dunlap and Kenkre [Phys. Rev. B 34, 3625(1986)], proceed in terms of zero values of time averages of related persistent currents over one period.

Abstract:
Applying the method of characteristics leads to wavefunctions and dynamic localization conditions for electrons on the one dimensional lattice under perpendicular time dependent electric and magnetic fields. Such conditions proceed again in terms of sums of products of Bessel functions of the first kind. However, this time one deals with both the number of magnetic flux quanta times $\pi $ and the quotients between the Bloch frequency and the ones characterizing competing fields. Tuning the phases of time dependent modulations leads to interesting frequency mixing effects providing an appreciable simplification of dynamic localization conditions one looks for. The understanding is that proceeding in this manner, the time dependent superposition mentioned above gets reduced effectively to the influence of individual ac-fields exhibiting mixed frequency quotients. Besides pure field limits and superpositions between uniform electric and time dependent magnetic fields, parity and periodicity effects have also been discussed.

Abstract:
A pebbling move on a graph removes two pebbles at a vertex and adds one pebble at an adjacent vertex. Rubbling is a version of pebbling where an additional move is allowed. In this new move, one pebble each is removed at vertices $v$ and $w$ adjacent to a vertex $u$, and an extra pebble is added at vertex $u$. A vertex is reachable from a pebble distribution if it is possible to move a pebble to that vertex using rubbling moves. The optimal rubbling number is the smallest number $m$ needed to guarantee a pebble distribution of $m$ pebbles from which any vertex is reachable. We determine the optimal rubbling number of ladders ($P_n\square P_2$), prisms ($C_n\square P_2$) and M\"oblus-ladders.