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Dirac Operators on Noncommutative Spacetimes ?
Dirac Operators on Noncommutative Spacetimes ?

... class of deformations. Furthermore, as one is thus free to choose the technically most convenient definition, this can simplify explicit calculations considerably. The classical Dirac operator meets our axioms for noncommutative Dirac operators only when restricting to actual Killing twists, and it ...
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... rate exponentially increases with B. This happens because thermal energy of the in-plane electron motion is transferred by the magnetic field into the energy of tunneling motion. One can say that the in-plane motion with a velocity v changes the tunneling barrier by adding an effective out-ofplane e ...
Information measures, entanglement and quantum evolution Claudia Zander
Information measures, entanglement and quantum evolution Claudia Zander

... quantum information theory [21]. It also constitutes a rather useful heuristic tool for establishing new links between, or obtaining new derivations of, fundamental aspects of thermodynamics and other areas of physics [22]. Information is something that is encoded in a physical state of a system an ...
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Development of a Silicon Semiconductor Quantum Dot Qubit with

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... The commercially driven activities described above have also had an offspring to research in fundamental physics. The epitaxial growth of III-V semiconductor layers and quantum wells, together with the improvements in microfabrication techniques, have facilitated unprecedented possibilities for fund ...
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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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