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A CATEGORY THEORY AND HIGHER DIMENSIONAL ALGEBRA
A CATEGORY THEORY AND HIGHER DIMENSIONAL ALGEBRA

... Quantum Space-Time in terms of Quantum Crossed Complexes over a Quantum Groupoid 12.20. LocaltoGlobal (LG) Construction Principles consistent with Quantum Axiomatics 1. Introduction Ontology has acquired over time several meanings, and it has also been approached in many different ways, but all of t ...
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Explicit Polarization Theory - Comp Chem

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SOME BOUND STATE PROBLEMS IN QUANTUM MECHANICS In

From Quantum Gates to Quantum Learning
From Quantum Gates to Quantum Learning

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... These give rise to very rich phenomena beyond the Bose-Hubbard model of Eq. (1.1) [18, 19]. To cite just a few, it includes a superfluid phase with a complex-valued order parameter and that spontaneously breaks time-reversal symmetry [20, 21]; and insulating phases with different types of ordering [ ...
Studies in Quantum Information Theory
Studies in Quantum Information Theory

AdS/CFT Course Notes - Johns Hopkins University
AdS/CFT Course Notes - Johns Hopkins University

... QED, beta decay, the pions and nucleons, and heavy quarks. Actually, general relativity plus ‘matter’ is another example of an effective description, where the details of the massive matter are unimportant at macroscopic distances (e.g. when we study the motion of the planets, it’s irrelevant what t ...
Steady State Entanglement in Quantum Dot Networks
Steady State Entanglement in Quantum Dot Networks

... For N qubits there are 2N terms in the superposition if none of the coefficients are zero. Quantum Parallelism, which gives quantum computers an advantages over classical computers, arises from the possibility to prepare the state of qubits in a superposition. This allows us to perform a computation ...
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... for devoting an enormous investment of time and patience to teaching me about the spectroscopy of small molecules. I would like to thank Bob for constantly reminding me that there is often simplicity behind every complexity. His invaluable view and intuition has improved this work in many ways. In a ...
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Ordered Spin States and Quantum Coherence in Low

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The Laboratory of the Mind: Thought Experiments in the Natural

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iBios – Portal Project Integrative Toolbox Using Grid

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Elliptic Flow Measurement of Heavy-Flavour Decay Electrons in Pb

... medium. The amount of elliptic flow of low-momentum heavy quarks is related to their thermalization with the medium, while high-momentum heavy quarks provide a way to assess the path-length dependence of the energy loss induced by the interaction with the medium. The heavy-quark elliptic flow is mea ...
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2010 - Universiteit Utrecht

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Chapter One : The Story of Magnetic Monopoles 0

... short discussion of monopoles in other theories. A section on recent research gives examples of conjectures that are still under debate. Next, a comment is given on the experimental search of magnetic monopoles. Finally, we discuss the place of monopoles in a quantized theory. This chapter should co ...
Progress Towards the Quantum Limit: High and Low Frequency Measurements of
Progress Towards the Quantum Limit: High and Low Frequency Measurements of

... Nano-electro-mechanical systems (NEMS) in particular provide an opportunity to study macroscopic and theoretically quantum mechanical systems up close. Cantilevers or doubly-clamped beams on the order of 100 − 1000 nm in size and weighing 10−15 − 10−17 g have already provided extremely sensitive too ...
Between classical and quantum
Between classical and 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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