Results 291 to 300 of about 4,461,069 (318)

Band Gaps and Asymptotic Behaviour of Continued Fraction Coefficients

Journal of Physics C: Solid State Physics, 1982
Continued fractions are frequently used to approximate densities of states. When the support of these densities is connected (i.e. there is no gap) the coefficients (an, bn2) of the continued fraction converge when n to infinity . In the presence of gaps, they exhibit undamped oscillations.
null P Turchi, null F Ducastelle, null G Treglia   +2 more
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Energy gap in fractional quantum Hall effect

Physica B: Condensed Matter, 2000
Abstract Binding energies of fractional quantum Hall states are calculated by a new method, in which we use Buttikers states whose orbits are parallel to the electric current. When the filling factor ν=(q−1)/q, we initially adopt such a many-electron state that (q−1) orbits in every q Buttikers orbits are filled with (q−1) electrons and the remaining
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PAIRING WITH FRACTIONAL ANGULAR MOMENTUM AND "SPINOR" GAP

Modern Physics Letters B, 1990
We study a two-dimensional model where a multivalued superconducting order parameter arises. Flux quantization and the Josephson effect are discussed.
D. V. KHVESHCHENKO, Y. I. KOGAN
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Gap Solitons in Fractional Dimensions With a Quasi‐Periodic Lattice

Annalen der Physik, 2019
AbstractThe existence and stability of gap solitons in the nonlinear fractional Schrödinger equation are investigated with a quasi‐periodic lattice. In the absence of nonlinearity, the exact band‐gap spectrum of the proposed system is obtained, and it is found that the spectrum gap size can be adjusted by the sublattice depth and the Lévy index.
Changming Huang, Chunyan Li, Hanying Deng, Liangwei Dong   +3 more
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The Continued Fraction Spectrum of Prime Gaps

This paper explores the intriguing relationship between prime numbers and continued fractions by investigating the "continued fraction spectrum" of prime gaps. Prime gaps, defined as the difference between consecutive prime numbers, exhibit a complex and largely unpredictable distribution.
Revista, Zen, MATH, 10
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Estimation of polysilane band gaps by fractional dimensional theory

Solid State Communications, 1997
The exciton energy levels of five kinds of polysilane with different substituents were measured by UV absorption, two-photon absorption and electroabsorption spectroscopy. Their band gaps were estimated using the obtained data without any fitting parameters by employing the fractional dimensional theory.
Seiji Toyoda, Michiya Fujiki, Hiroyuki Suzuki, Nobuo Matsumoto   +3 more
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Paper folding and equivalent fractions—bridging a gap

The Arithmetic Teacher, 1971
Much emphasis has long been placed on the value of using concrete models and manipulative devices in the early stages of the development of mathematical ideas. As Johnson suggests, however, it is entirely possible for a teacher to use instructional aids and get little benefit from them.
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Energy gaps in the fractional quantum hall effect

Solid State Communications, 1986
Abstract Based on a density-of-states N(E) ∝ (E − μ0)2 Poisson's equation is solved perpendicular to the current direction in the two-dimensional Hall-plate. By comparing the result with the structure obtained for an Ising-like chain with occupation numbers σ = 0, 1 2 , 1 to account for vanishing energy gaps for filling factors v = m n
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Gap widths in the fractional parts of roots

International Journal of Number Theory
The fractional parts of roots of natural numbers, [Formula: see text] fill the unit interval with asymptotically uniform density. They also have other interesting statistical properties, such as the asymptotic distribution of gaps and their Poissonian pair correlations.
Simon Čopar, Christian Weiß
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Retrieving leaf area index in discontinuous forest using ICESat/GLAS full-waveform data based on gap fraction model

Isprs Journal of Photogrammetry and Remote Sensing, 2019
Xuebo Yang, Cheng Wang, F. Pan, S. Nie, X. Xi, Shezhou Luo   +5 more
semanticscholar   +1 more source