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On early and late phases of acceleration of the
On early and late phases of acceleration of the

1 Engineering Entanglement: Quantum Computation, Quantum
1 Engineering Entanglement: Quantum Computation, Quantum

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Author`s personal copy

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89, 053618 (2014)

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MU08-CHAPTER1.doc

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Nonclassical states of light propagating in Kerr media

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Level shifts of rubidium Rydberg states due to binary interactions

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2+1 Abelian `Gauge Theory' Inspired by Ideal Hydrodynamics

... we seek a gauge theory where the gauge fields satisfy a closed Poisson algebra, without any need for electric fields. We want a theory whose phase-space is a coadjoint orbit of an ordinary diffeomorphism group, which is simpler than its noncommutative cousins. We would also like to understand in mor ...
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Polarization control of single photon quantum
Polarization control of single photon quantum

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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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