The motion of charge particles in a superlattice structure subject to the crossed magnetic and electric fields, both applied in the in-plane direction, is discussed with respect to the novel type of terahertz oscillations suggested recently, [M. Orlita, R. Grill, L. Smrčka, M. Zvára, Phys. Rev. B 74 (2006) 125312]. The effects of the finite size of the superlattice is considered in comparison w...

We propose to use periodically spaced, curved optical waveguides for observation of optical Bloch oscillations. The refractive index distribution in this system is equivalent to the sum of a periodic term resulting from the equal spacing of the waveguides and a linear ramp, created by the curvature. We demonstrate numerically that light propagation in this geometry exhibits spatial Bloch oscill...

1 This is written for the volume Group formation in economics: networks, clubs, and coalitions edited by Gabrielle Demange and Myrna Wooders. This chapter is not intended to be a survey, and is quite naturally influenced by my own work. thank Francis Bloch and Myrna Wooders for helpful remarks.

m-Qubit states are embedded in Cl2m Clifford algebra. Their probability spectrum then depends on O (2m)or O (2m+ 1)-invariants respectively. Parameter domains for O (2m (+1))-vector and -tensor configurations, generalizing the notion of a Bloch sphere, are derived.

Despite the considerable progress in motivic cohomology and motivic homotopy theory achieved in recent years we still do not have a simple construction of the spectral sequence relating motivic cohomology and algebraic K-theory. The construction invented by Dan Grayson (see [3]) is simple and elegant but we are still unable to identify the E2-term of the resulting spectral sequence with the mot...

We show that the imaginary part of the embedding potential, a generalised logarithmic derivative, defined over the interface between an electrical lead and some conductor, has orthogonal eigenfunctions which define conduction channels into and out of the lead. In the case of an infinitely extended interface we establish the relationship between these eigenfunctions and the Bloch states evaluate...

Here we propose an efficient algorithm for computing the smallest enclosing circle whose center is constrained to lie on a query line segment. Our algorithm preprocesses a given set of n points P = {p1, p2, . . . , pn} such that for any query line or line segment L, it efficiently locates a point c′ on L that minimizes the maximum distance among the points in P from c′. Roy et al. [11] has prop...

We provide a patch to complete the proof of the Voevodsky-Rost Theorem, that the norm residue map is an isomorphism. (This settles the motivic Bloch-Kato conjecture).

We obtain some simple criteria for the boundedness and compactness of the product of differentiation and composition operator CφD on Bloch type spaces.

Public libraries have been associated with a Habermasian public sphere, but articulations between public libraries and the public sphere remain undefined. To make fuller sense of the public sphere as it relates to public libraries, we used qualitative content analysis as a research methodology to study 12 Carnegie Library of Pittsburgh annual reports from 1900 to 2010. We identified 6 dimension...