Vorlesungen iiber Zahlentheorie. By Edmund Landau. Volume I: Aus der elementaren unà additiven Zahlentheorie. xii+360 pp. Volume II: Aus der analytischen und geometrischen Zahlentheorie. vii+308 pp. Volume III : Aus der algebraischen Zahlentheorie und iiber die Fermatsche Vermutung. vii+341 pp. Leipzig, S. Hirzel, 1927. These three excellently printed and arranged volumes form an addition of th...

A simplified model for the energy of the magnetization of a thin ferromagnetic film gives rise to a version of the theory of GinzburgLandau vortices for sphere-valued maps. In particular we have the development of vortices as a certain parameter tends to 0. The dynamics of the magnetization is ruled by the Landau-Lifshitz-Gilbert equation, which combines characteristic properties of a nonlinear...

IMPAIRMENT of dark adaptation was found frequently to occur in various endocrine disturbances of the genital function, and has been reported by us previously (Landau and Bromberg, 1950; Landau and Polishuk, 1948; Landau, Eckerling, and Polishuk, 1951; Landau and Bromberg, 1954). Disturbed scotopic vision was observed in the majority of patients suffering from pituitary or ovarian amenorrhea, in...

Abstract. We report results of a study of (integer) quantum Hall transitions in a single or multiple Landau levels for non-interacting electrons in disordered two-dimensional systems, obtained by projecting a tight-binding Hamiltonian to corresponding magnetic subbands. In finite-size systems, we find that mesoscopic effects often dominate, leading to apparent non-universal scaling behaviour in...

We report the observation of an isolated charged impurity in graphene and present direct evidence of the close connection between the screening properties of a 2D electron system and the influence of the impurity on its electronic environment. Using scanning tunneling microscopy and Landau level spectroscopy, we demonstrate that in the presence of a magnetic field the strength of the impurity c...

The electronic states of lateral many-electron quantum dots in high magnetic fields are analyzed in terms of energy and spin. In a regime with two Landau levels in the dot, several Coulomb-blockade peaks are measured. A zigzag pattern is found as it is known from the Fock-Darwin spectrum. However, only data from Landau level 0 show the typical spin-induced bimodality, whereas features from Land...

Abstract The problem of the Darrieus-Landau instability at a discontinuous deflagration front in a compressible flow is solved. Numerous previous attempts to solve this problem suffered from the deficit of boundary conditions. Here, the required additional boundary condition is derived rigorously taking into account the internal structure of the front. The derived condition implies a constant m...

In previous papers we solved the Landau problems, indexed by 2M , for a particle on the “superflag” SU(2|1)/[U(1) × U(1)], the M = 0 case being equivalent to the Landau problem for a particle on the “supersphere” SU(2|1)/[U(1|1)]. Here we solve these models in the planar limit. For M = 0 we have a particle on the complex superplane C; its Hilbert space is the tensor product of that of the Landa...

We calculate the exact Landau-Zener transition probabilities for a qubit with an arbitrary linear coupling to a bath at zero temperature. The final quantum state exhibits a peculiar entanglement between the qubit and the bath. In the special case of diagonal coupling, the bath does not influence the transition probability, whatever the speed of the Landau-Zener sweep. It is proposed to use Land...