Schwermineral-Untersuchungen in quartär-zeitlichen Sanden nordwestlich von Hannover

A total of 117 samples of quarternary sediments, mostly sands, from a region NW of Hannover (Lower Saxony) has been investigated with regard to their content of heavy minerals. The absolute percentage of transparent heavy minerals approximates 0.2 Vol.%. If several samples of glaciofluvial sands (Drenthe-stage) or dune sands (Late Weichsel-stage to Holocene) are taken from one outcrop they show great similarities in their heavy minerals contents. Glaciofluvial sands of the Elster-stage evidently have less Garnet, Hornblende and minerals of volcanic origin (Augite, partly also Orthopyroxenes, Oxyhornblende and Olivine) than those of the Drenthe-stage, Weichsel-stage, and the Holocene. All these groups hold nearly the same average assemblages of heavy mineral, thus indicating that within the Drenthe-stage or later material from north and from south has been mixed and/or reworked. In the area investigated the proportions of heavy minerals do not help to identify either the stratigraphic position or the way of deposition of different sandy sediments younger than the Elster-stage. The distributional pattern of several heavy minerals point out that Kyanite, Hornblende and Epidote have been transported predominantly from the north, whereas Garnet and Staurolite have sources both in the north and the south. Tourmaline, Apatite and the minerals of volcanic origin mainly must be derived from the south. All results obtained in the region examined should not be transferred to other zones of the lowlands of Northern Germany automatically.

T-duality without isometry via extended gauge symmetries of 2D sigma models

Target space duality is one of the most profound properties of string theory. However it customarily requires that the background fields satisfy certain invariance conditions in order to perform it consistently; for instance the vector fields along the directions that T-duality is performed have to generate isometries. In the present paper we examine in detail the possibility to perform T-duality along non-isometric directions. In particular, based on a recent work of Kotov and Strobl, we study gauged 2D sigma models where gauge invariance for an extended set of gauge transformations imposes weaker constraints than in the standard case, notably the corresponding vector fields are not Killing. This formulation enables us to follow a procedure analogous to the derivation of the Buscher rules and obtain two dual models, by integrating out once the Lagrange multipliers and once the gauge fields. We show that this construction indeed works in non-trivial cases by examining an explicit class of examples based on step 2 nilmanifolds.

Der "Dropstein-Laminit" von Bögerhof und seine Zuordnung zu den Drenthe-zeitlichen Ablagerungen des Wesertals bei Rinteln

Die vorliegende Untersuchung befaßt sich mit eiszeitlichen Ablagerungen im Raum der TK Rinteln. Ein "Ton"-Vorkommen wurde als drenthezeitlicher Dropstein- Laminit angesprochen. Dieser liegt stratigraphisch unter den Krankenhagen-Möllenbecker-Kieskörpern und wurde als geringfügig jünger als der Hauptvorstoß der Drenthe-Vereisung in diesem Raum eingestuft. Für die oben erwähnten Kieskörper wurde eine Entstehung als Endmoränen ausgeschlossen. Sie wurden als Kame-Terrassen gedeutet.

Generating a state t-design by diagonal quantum circuits

We investigate protocols for generating a state t-design by using a fixed separable initial state and a diagonal-unitary t-design in the computational basis, which is a t-design of an ensemble of diagonal unitary matrices with random phases as their eigenvalues. We first show that a diagonal-unitary t-design generates a O (1/2(N))-approximate state t-design, where N is the number of qubits. We then discuss a way of improving the degree of approximation by exploiting non-diagonal gates after applying a diagonal-unitary t-design. We also show that it is necessary and sufficient to use O (log(2)(t)) -qubit gates with random phases to generate a diagonal-unitary t-design by diagonal quantum circuits, and that each multi-qubit diagonal gate can be replaced by a sequence of multi-qubit controlled-phase-type gates with discrete-valued random phases. Finally, we analyze the number of gates for implementing a diagonal-unitary t-design by non-diagonal two- and one-qubit gates. Our results provide a concrete application of diagonal quantum circuits in quantum informational tasks.