Results 1  10
of
24,269
Motion in periodic potentials
, 1998
"... We consider motion in a periodic potential in a classical, quantum, and semiclassical context. Various results on the distribution of asymptotic velocities are proven. 1 ..."
Abstract

Cited by 13 (1 self)
 Add to MetaCart
We consider motion in a periodic potential in a classical, quantum, and semiclassical context. Various results on the distribution of asymptotic velocities are proven. 1
Fractional diffusion in periodic potentials
, 2006
"... Abstract. Fractional, anomalous diffusion in spaceperiodic potentials is investigated. The analytical solution for the effective, fractional diffusion coefficient in an arbitrary periodic potential is obtained in closed form in terms of two quadratures. This theoretical result is corroborated by nu ..."
Abstract
 Add to MetaCart
Abstract. Fractional, anomalous diffusion in spaceperiodic potentials is investigated. The analytical solution for the effective, fractional diffusion coefficient in an arbitrary periodic potential is obtained in closed form in terms of two quadratures. This theoretical result is corroborated
Periodic Potentials and Supersymmetry
, 2004
"... We review the current status of one dimensional periodic potentials and also present several new results. It is shown that using the formalism of supersymmetric quantum mechanics, one can considerably enlarge the limited class of analytically solvable onedimensional periodic potentials. Further, us ..."
Abstract
 Add to MetaCart
We review the current status of one dimensional periodic potentials and also present several new results. It is shown that using the formalism of supersymmetric quantum mechanics, one can considerably enlarge the limited class of analytically solvable onedimensional periodic potentials. Further
Fractional diffusion in periodic potentials
, 2007
"... Fractional, anomalous diffusion in spaceperiodic potentials is investigated. The analytical solution for the effective fractional diffusion coefficient in an arbitrary periodic potential is obtained in closed form in terms of two quadratures. This theoretical result is corroborated by numerical sim ..."
Abstract
 Add to MetaCart
Fractional, anomalous diffusion in spaceperiodic potentials is investigated. The analytical solution for the effective fractional diffusion coefficient in an arbitrary periodic potential is obtained in closed form in terms of two quadratures. This theoretical result is corroborated by numerical
Semiclassical Approximation for Periodic Potentials
, 1999
"... We derive the semiclassical WKB quantization condition for obtaining the energy band edges of periodic potentials. The derivation is based on an approach which is much simpler than the usual method of interpolating with linear potentials in the regions of the classical turning points. The band struc ..."
Abstract

Cited by 3 (3 self)
 Add to MetaCart
We derive the semiclassical WKB quantization condition for obtaining the energy band edges of periodic potentials. The derivation is based on an approach which is much simpler than the usual method of interpolating with linear potentials in the regions of the classical turning points. The band
1D PERIODIC POTENTIALS
, 2008
"... WITH GAPS VANISHING AT k = 0Abstract. Appearance of energy bands and gaps in the dispersion relations of a periodic potential is a standard feature of Quantum Mechanics. We investigate the class of onedimensional periodic potentials for which all gaps vanish at the center of the Brillouin zone. We ..."
Abstract
 Add to MetaCart
WITH GAPS VANISHING AT k = 0Abstract. Appearance of energy bands and gaps in the dispersion relations of a periodic potential is a standard feature of Quantum Mechanics. We investigate the class of onedimensional periodic potentials for which all gaps vanish at the center of the Brillouin zone. We
Supersymmetrically transformed periodic potentials
, 2003
"... Abstract. The higher order supersymmetric partners of a stationary periodic potential are studied. The transformation functions associated to the band edges do not change the spectral structure. However, when the transformation is implemented for factorization energies inside of the forbidden bands, ..."
Abstract
 Add to MetaCart
Abstract. The higher order supersymmetric partners of a stationary periodic potential are studied. The transformation functions associated to the band edges do not change the spectral structure. However, when the transformation is implemented for factorization energies inside of the forbidden bands
time periodic potential.
, 1996
"... Using a generalized transfer matrix method we exactly solve the Schrödinger equation in a time periodic potential, with discretized Euclidean spacetime. The ground state wave function propagates in space and time with an oscillating solitonlike wave packet and the wave front is wedge shaped. In a ..."
Abstract
 Add to MetaCart
Using a generalized transfer matrix method we exactly solve the Schrödinger equation in a time periodic potential, with discretized Euclidean spacetime. The ground state wave function propagates in space and time with an oscillating solitonlike wave packet and the wave front is wedge shaped. In a
Schrödinger Equation with Periodic potentials
, 2010
"... The Schrödinger equation ∂2xΨ(x) = [U(x) − E]Ψ(x) with the potential U(x) = 2ρ1 cos x + 2ρ2 cos(γx) is considered. The solution of this equation is reduced to the problem of finding the eigenvectors of an infinite matrix. The infinite matrix is truncated to a finite matrix. The approximation due ..."
Abstract
 Add to MetaCart
The Schrödinger equation ∂2xΨ(x) = [U(x) − E]Ψ(x) with the potential U(x) = 2ρ1 cos x + 2ρ2 cos(γx) is considered. The solution of this equation is reduced to the problem of finding the eigenvectors of an infinite matrix. The infinite matrix is truncated to a finite matrix. The approximation
Summary cache: A scalable widearea web cache sharing protocol
, 1998
"... The sharing of caches among Web proxies is an important technique to reduce Web traffic and alleviate network bottlenecks. Nevertheless it is not widely deployed due to the overhead of existing protocols. In this paper we propose a new protocol called "Summary Cache"; each proxy keeps a su ..."
Abstract

Cited by 894 (3 self)
 Add to MetaCart
summary of the URLs of cached documents of each participating proxy and checks these summaries for potential hits before sending any queries. Two factors contribute to the low overhead: the summaries are updated only periodically, and the summary representations are economical  as low as 8 bits per
Results 1  10
of
24,269