Abstract. It is well known that a particle in a periodic potential with an additional constant force performs Bloch oscillations. Modulating every second period of the potential, the original Bloch band splits into two subbands. The dynamics of quantum particles shows a coherent superposition of Bloch oscillations and Zener tunneling between the subbands, a Bloch-Zener oscillation. Such a syste...

This paper studies logarithmic depreciation which is similar to conventional geometric depreciation, except that capital and investment are replaced by their logarithms. We provide empirical theoretical evidence can account for aggregate better than more complicated methods have additional parameters. document consumption decisions in the United States other countries appear be made under erron...

In this paper we use the idea of logarithmic density to define the concept of logarithmic statistical convergence. We find the relations of logarithmic statistical convergence with statistical convergence, statistical summability (H, 1) introduced by Móricz (Analysis 24:127-145, 2004) and [H, 1]q-summability. We also give subsequence characterization of statistical summability (H, 1). MSC: 40A0...

Let φ and ψ be holomorphic maps on such that φ( ) ⊂ . Let Cφ,Mψ and D be the composition, multiplication and differentiation operators, respectively. In this paper, we consider linear operators induced by products of these operators from Bergman-Nevanlinna spaces AβN to Bloch-type spaces. In fact, we prove that these operators map AβN compactly into Bloch-type spaces if and only if they map A β...

Starting from a simple model of the double-mell semiconductor heterostructure capable of generating continuous-wave quantum "Bloch" oscillations, we have calculated analytically their major statistical properties, including spectral density and amplitude distribution. Other characteristics of the structure, pertaining to the Bloch oscillation, such as the dc I-V curve, rf impedance, and dc resp...

The classical problem of homogenization deals with elliptic operators in periodically oscillating media of small period ε > 0 and the asymptotic behavior of solution u of boundary value problems associated with such operators. In a previous work [5], the authors introduced what is called Bloch approximation which provided energy norm approximation for the solution in R . This paper continues wi...

We study the optical transition between bound-to-continuum states in InGaAs/GaAs quantum well infrared photodetector (QWIP) by analyzing two possible boundary conditions for the continuum states. InGaAs/GaAs QWIP differs from the GaAs/AlGaAs QWIP in many aspects. Comparing running wave function and Bloch wave function with experimental results, we find that Bloch wave function is the much more ...

High harmonic generation in semiconductors is analyzed for high mid-infrared laser intensities for which the electron-hole pair is driven beyond the first Brillouin zone and exhibits Bloch oscillations. We find that even a two-band analysis exhibits second and higher plateaus. Whereas the first plateau is shown to be consistent with high harmonic generation through electron-hole recollision, th...