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Quantum Information and Quantum Computation
Quantum Information and Quantum Computation

... Over the last half century, the components of computers have gotten smaller by a factor of two every year and a half, the phenomenon known as Moore's law. In current computers, the smallest wires and transistors are coming close to a size of one hundred nanometers across, a thousand times the diamet ...
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Copyright c 2017 by Robert G. Littlejohn Physics 221B Spring 2017

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University Physics - Erwin Sitompul

... A 2 kg particle moves along an x axis, being propelled by a variable force directed along that axis. Its position is given by x = 3 m + (4 m/s)t + ct2 – (2 m/s3)t3, with x in meters and t in seconds. The factor c is a constant. At t = 3 s, the force on the particle has a magnitude of 36 N and is in ...
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... bases, the site- and mean-field basis. The site-basis is appropriate when analyzing the spatial delocalization of the system. To separate regular from chaotic behavior, a more appropriate basis consists of the eigenstates of the integrable limit of the model, which is known as the mean-field basis.2 ...
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PDF Version - Physics (APS)

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41-60 - New Theoretical Physics by James A. Putnam

... We know space is there because we measure distances in it. We cannot define a measurement of distance as occurring across nothing, so there must be something. This new theory makes no claim to predict physical properties for space other than to say it exists and gives us room to move about. In the a ...
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... c) There are several results that we have obtained and that evidence their importance in this context. By using the Clifford algebraic formulation of quantum mechanics we have given mathematical proof of the potentialityactualization transition that in quantum mechanics is admitted instead as postul ...
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... devised one conceptualisation of it, we have to extend it for another. The process we will see is something like privileging cardinality at all times over ordinality (or ordinality over individual number). Let us call the zero totality at any point in this sequence the ‘alphabet’, and anything which ...
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The Physical Vacuum: Where Particle Physics Meets Cosmology

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... plane of each loop, as shown in Figure 3 above. For parts (c) and (d), assume that tl1emagnetic field between the two circular loops is uniform in the region of the square loop and has magnitude B,,,,. (c) In terms of B,,", and s, determine the magnetic flux through the square loop. ...
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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.
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