
Physical Limits of Computing
... Anyway, regardless of our state of knowledge, note that the sum of the system's entropy and its known information is always conserved. Known information and entropy are just two forms of the same fundamental quantity, somewhat analogously to kinetic and potential energy. Whether a system contains kn ...
... Anyway, regardless of our state of knowledge, note that the sum of the system's entropy and its known information is always conserved. Known information and entropy are just two forms of the same fundamental quantity, somewhat analogously to kinetic and potential energy. Whether a system contains kn ...
Bilayer fractional quantum Hall states with dipoles
... quantum Hall states in C = 2 bands do not have simple Landau-level analogs [22,23]. In the case of the (2,2,1) state discussed in this paper, a Landau-level analog does exist but naturally arises only in bilayer systems. There have been several proposals for engineering flat C = 2 bands in solid-sta ...
... quantum Hall states in C = 2 bands do not have simple Landau-level analogs [22,23]. In the case of the (2,2,1) state discussed in this paper, a Landau-level analog does exist but naturally arises only in bilayer systems. There have been several proposals for engineering flat C = 2 bands in solid-sta ...
Quantum Field Theory and Composite Fermions in the Fractional
... defines not only a standard resistor but is also suitable to determine the fine structure constant α = µ0 c0 e2 /(2h) with high accuracy. For the discovery of this integral quantum Hall effect von Klitzing was awarded the Nobel price in 1985. The investigation of new techniques such as molecular bea ...
... defines not only a standard resistor but is also suitable to determine the fine structure constant α = µ0 c0 e2 /(2h) with high accuracy. For the discovery of this integral quantum Hall effect von Klitzing was awarded the Nobel price in 1985. The investigation of new techniques such as molecular bea ...
Quantum Mechanics (Part II)
... Coherence and superposition: one of the most distinctive features of quantum mechanics is that it is linear: the superposition of two quantum states is also a possible quantum state, and it is probability amplitudes, not probabilities themselves, that are added together, leading to the possibility ...
... Coherence and superposition: one of the most distinctive features of quantum mechanics is that it is linear: the superposition of two quantum states is also a possible quantum state, and it is probability amplitudes, not probabilities themselves, that are added together, leading to the possibility ...
Path Integral Monte Carlo Zachary Wolfson
... samples are significantly different, yet their radii are almost exactly the same. One possible explanation for these discrepancies is that the materials had different dielectric constants. 1 A model that takes only cavity radius as input to determine the lifetime of positronium cannot hope to explai ...
... samples are significantly different, yet their radii are almost exactly the same. One possible explanation for these discrepancies is that the materials had different dielectric constants. 1 A model that takes only cavity radius as input to determine the lifetime of positronium cannot hope to explai ...
Quantum Probability and Decision Theory, Revisited
... have no difficulty with the preferred-basis problem, have felt forced to modify quantum mechanics in this way. It is useful to identify two aspects of the problem. The first might be called the incoherence problem: how, when every outcome actually occurs, can it even make sense to view a measurement ...
... have no difficulty with the preferred-basis problem, have felt forced to modify quantum mechanics in this way. It is useful to identify two aspects of the problem. The first might be called the incoherence problem: how, when every outcome actually occurs, can it even make sense to view a measurement ...
Electromechanical hysteresis and coexistent states in dielectric elastomers * Suo 兲
... express the theory in terms of material coordinates and nomi- ...
... express the theory in terms of material coordinates and nomi- ...
Many-electron transport in strongly correlated nondegenerate two-dimensional electron systems *
... change the total momentum of the electron system, it may mediate the momentum transfer to the scatterers, and thus strongly affect the long-wavelength conductivity. It was suggested in Ref. 31 that, for quantizing magnetic fields \ v c @T and yet not too low temperatures, one may describe many-elect ...
... change the total momentum of the electron system, it may mediate the momentum transfer to the scatterers, and thus strongly affect the long-wavelength conductivity. It was suggested in Ref. 31 that, for quantizing magnetic fields \ v c @T and yet not too low temperatures, one may describe many-elect ...
physics courses - University of Warwick
... breakdown of Newtonian mechanics at speeds close to the speed of light and at short (atomic) distances. Other first year physics modules treat material, which should in part be familiar from A level (electricity, magnetism and heat), but are able to illustrate it with more interesting examples and t ...
... breakdown of Newtonian mechanics at speeds close to the speed of light and at short (atomic) distances. Other first year physics modules treat material, which should in part be familiar from A level (electricity, magnetism and heat), but are able to illustrate it with more interesting examples and t ...
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.