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... Therefore when a black hole radiates it loses its mass, it evaporates and eventually disappears, and this fact will lead us to the information loss problem. Following an heuristic picture, Hawking radiation is produced by vacuum quantum fluctuations around the black hole where the gravitational field ...
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Physics (PHYS)

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... charge on the capacitor must be represented by a wave function giving the probability amplitude of all charge configurations. For example, the charge on the capacitor can be in a superposition of states where the charge is both positive and negative at the same time. Similarly the current in a loop ...
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LanZ_0112_eps(2).

... Equations (1.2)-(1.4) form the statistical description of the system. Thus the above two descriptions serve for different purposes in this thesis, while the statistical description is mainly used for theoretical analysis, the discrete description is used for numerical simulations directly. The remai ...
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Quantum computing with photons: introduction to the circuit model

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Nonequilibrium fluctuations, fluctuation theorems

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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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