98 - Department of Physics - University of Texas at Austin
... scaling laws around the transition point, and this assumption is mainly due to the early scaling experiments [7]. In the case of IQHE, a continuous quantum phase transition means algebraic divergence of the longitudinal Hallresistivity slope in temperature T at the transition point. However, recent ...
... scaling laws around the transition point, and this assumption is mainly due to the early scaling experiments [7]. In the case of IQHE, a continuous quantum phase transition means algebraic divergence of the longitudinal Hallresistivity slope in temperature T at the transition point. However, recent ...
Nonlinear quantum mechanics, the superposition principle, and the
... in standard quantum theory, then how does one understand the apparent breakdown of superposition during a quantum measurement? One possible answer, within linear quantum theory, is that indeed the breakdown of superposition during a measurement is only an apparent phenomenon, and not a real one. Whe ...
... in standard quantum theory, then how does one understand the apparent breakdown of superposition during a quantum measurement? One possible answer, within linear quantum theory, is that indeed the breakdown of superposition during a measurement is only an apparent phenomenon, and not a real one. Whe ...
Mathematical Aspects of Quantum Theory and Quantization Summer
... hydrogen atom. Scattering experiments by Rutherford had shown that such an atom was a system consisting of a positively charged heavy nucleus in the centre, encircled by a light electron with a negative charge. This very small planetary system emitted electromagnetic radiation, in certain discrete f ...
... hydrogen atom. Scattering experiments by Rutherford had shown that such an atom was a system consisting of a positively charged heavy nucleus in the centre, encircled by a light electron with a negative charge. This very small planetary system emitted electromagnetic radiation, in certain discrete f ...
Quantum blockade and loop currents in graphene with topological defects
... localization, we plot, in Figs. 3共a兲 and 3共b兲, the spatial distribution of LDOS , and local currents i far 共point J in Fig. 2兲 away from and near 共point H in Fig. 2兲 the antiresonance, respectively. The LDOS does not vary much at the two points, but the currents do. In Fig. 3共a兲, where G is not sha ...
... localization, we plot, in Figs. 3共a兲 and 3共b兲, the spatial distribution of LDOS , and local currents i far 共point J in Fig. 2兲 away from and near 共point H in Fig. 2兲 the antiresonance, respectively. The LDOS does not vary much at the two points, but the currents do. In Fig. 3共a兲, where G is not sha ...
G69 - Chemie Unibas
... (4) and is inversely proportional to (mu2) ~, or to the fom'th power of the velocity if m be constant. In these calculations, it is assumed theft the a particles sc~,ttered through a large angle suffer only one large deflexion. For this to hold, it is essential that the thickness of the scattering m ...
... (4) and is inversely proportional to (mu2) ~, or to the fom'th power of the velocity if m be constant. In these calculations, it is assumed theft the a particles sc~,ttered through a large angle suffer only one large deflexion. For this to hold, it is essential that the thickness of the scattering m ...
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.