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...

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...

LENR theory must explain dd fusion, alpha-addition transmutations, radiationless nuclear reactions, and 3-body nuclear particle reactions. Reaction without radiation requires many-body D+Bloch periodicity in both location and internal structure dependencies. Electron scattering leads to mixed quantum states. The radiationless dd fusion reaction is 2-D+Bloch → 4He++Bloch. Overlap between 4He++Bl...

incontinentia pigmenti (ip) is a rare x-linked dominant disorder with skin, eye, central nervous system (cns) and tooth abnormalities. according to the reported cases, it is estimated that there have been nearly 900-1200 affected individuals. in this article, the literature is reviewed and a case of ip with characteristic skin lesions and optic atrophy is presented.

The Bloch decomposition plays a fundamental role in the study of quantum mechanics and wave propagation in periodic media. Most of the homogenization theory developed for the study of high frequency or semiclassical limit for these problems assumes no crossing of the Bloch bands, resulting in classical Liouville equations in the limit along each Bloch band. In this article, we derive semiclassi...