Geometric Aspects of Quantum Hall States
... This is a plot obtained by von Klitzing [1]. It shows the Hall voltage plotted against the voltage drop between the potential probes. Notice that for special values of the filling factor n there are plateaus in the dependence. These plateaus contradict the classical e/m prediction. The resistance on ...
... This is a plot obtained by von Klitzing [1]. It shows the Hall voltage plotted against the voltage drop between the potential probes. Notice that for special values of the filling factor n there are plateaus in the dependence. These plateaus contradict the classical e/m prediction. The resistance on ...
An AC Electrokinetic Technique for Collection and
... in horizontal planes some distance away from the photoresist surface. The collected particles formed an “Xshaped” accumulation pattern with four spikes corresponding to the four corners of the conductive corral. A small fifth spike (to the top left) in the observed particle accumulation pattern corr ...
... in horizontal planes some distance away from the photoresist surface. The collected particles formed an “Xshaped” accumulation pattern with four spikes corresponding to the four corners of the conductive corral. A small fifth spike (to the top left) in the observed particle accumulation pattern corr ...
Closed Timelike Curves Make Quantum and
... quantum-mechanical ones. For just as every quantum operation has a fixed point, so every Markov chain has a stationary distribution. What matters is simply that the state space and the set of transformations are such that fixed points exist. It might be thought mysterious that Nature “finds” a fixed ...
... quantum-mechanical ones. For just as every quantum operation has a fixed point, so every Markov chain has a stationary distribution. What matters is simply that the state space and the set of transformations are such that fixed points exist. It might be thought mysterious that Nature “finds” a fixed ...
Assessing the applicability of quantum corrections to classical
... tum values. This result is not necessarily intuitive because the classical phonon specific heats are always greater than their quantum counterparts and, according to Eq. (10), will tend to increase the classical thermal conductivity over the quantum value. The thermal conductivity, however, is also ...
... tum values. This result is not necessarily intuitive because the classical phonon specific heats are always greater than their quantum counterparts and, according to Eq. (10), will tend to increase the classical thermal conductivity over the quantum value. The thermal conductivity, however, is also ...
Scattering theory - Theory of Condensed Matter
... k 2 )G0 (r, r# ) = δ 3 (r − r# ). From the asymptotic behaviour of the boundary condition, it is evident that φ(r) = eik·r . In the Fourier basis, the Green function is diagonal and given by G0 (k, k# ) = (2π)3 δ 3 (k − k# ) k12 . Transformed back into real space, we ...
... k 2 )G0 (r, r# ) = δ 3 (r − r# ). From the asymptotic behaviour of the boundary condition, it is evident that φ(r) = eik·r . In the Fourier basis, the Green function is diagonal and given by G0 (k, k# ) = (2π)3 δ 3 (k − k# ) k12 . Transformed back into real space, we ...
Wednesday, Aug. 30, 2006
... Makes perfect sense since Coulomb potential is stronger with larger Z. Results in larger deflection. ...
... Makes perfect sense since Coulomb potential is stronger with larger Z. Results in larger deflection. ...
Aether Quantum theory according to Eddington
... “Perhaps a philosopher might question whether it is not possible to admit the characters alone without picturing anything to support them - thus doing away with aether and matter at one stroke. But that is rather beside the point.” “In the last century [19th] it was widely believed that aether was a ...
... “Perhaps a philosopher might question whether it is not possible to admit the characters alone without picturing anything to support them - thus doing away with aether and matter at one stroke. But that is rather beside the point.” “In the last century [19th] it was widely believed that aether was a ...
2 + 1 dimensional gravity as an exactly soluble system
... run into when the vierbein and spin connection are independent variables is that discussed in ref. [10]. We will see later that this is one type of singularity that we will definitely have to allow.) Much of the interest in trying to quantize 2 + 1 dimensional gravity is precisely the question of wh ...
... run into when the vierbein and spin connection are independent variables is that discussed in ref. [10]. We will see later that this is one type of singularity that we will definitely have to allow.) Much of the interest in trying to quantize 2 + 1 dimensional gravity is precisely the question of wh ...
An introduction to lattice gauge theory and spin systems
... quite el. egant. Another approach which ...
... quite el. egant. Another approach which ...
Renormalization
In quantum field theory, the statistical mechanics of fields, and the theory of self-similar geometric structures, renormalization is any of a collection of techniques used to treat infinities arising in calculated quantities.Renormalization specifies relationships between parameters in the theory when the parameters describing large distance scales differ from the parameters describing small distances. Physically, the pileup of contributions from an infinity of scales involved in a problem may then result in infinities. When describing space and time as a continuum, certain statistical and quantum mechanical constructions are ill defined. To define them, this continuum limit, the removal of the ""construction scaffolding"" of lattices at various scales, has to be taken carefully, as detailed below.Renormalization was first developed in quantum electrodynamics (QED) to make sense of infinite integrals in perturbation theory. Initially viewed as a suspect provisional procedure even by some of its originators, renormalization eventually was embraced as an important and self-consistent actual mechanism of scale physics in several fields of physics and mathematics. Today, the point of view has shifted: on the basis of the breakthrough renormalization group insights of Kenneth Wilson, the focus is on variation of physical quantities across contiguous scales, while distant scales are related to each other through ""effective"" descriptions. All scales are linked in a broadly systematic way, and the actual physics pertinent to each is extracted with the suitable specific computational techniques appropriate for each.