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Enhanced and Reduced Atom Number
Enhanced and Reduced Atom Number

... hz2 i  hz2p i. This definition is first-order insensitive to fluctuations in the total number of atoms and produces 2 ¼ 1 for a binomial distribution. In our data, the correction hz2p i is always smaller than hz2 i itself. In a first experiment, we split an almost pure BEC of 1300 atoms and invest ...
The moment generating fu
The moment generating fu

... Notes on calculus with complex variables. Essentially the usual rules apply so, for example, d it e = ieit dt We will (mostly) be doing only integrals over the real line; the theory of integrals along paths in the complex plane is a very important part of mathematics, however. FACT: (not use explici ...
Law of Conservation of Muons
Law of Conservation of Muons

... + vg + pg with v, = v, would lead to these processes in some order of perturbation theory, and arguments have been given2 which indicate that any field theory of weak interactions may predict unacceptably large rates for these processes in the absence of a selection rule. If we assume that p. -e tra ...
Interpreting Diffraction Using the Quantum Model
Interpreting Diffraction Using the Quantum Model

Gestalt Principles re-investigated within Heisenberg uncertainty
Gestalt Principles re-investigated within Heisenberg uncertainty

... that the game is not over, yet. To have a sensation from information is much more complicated. Knowledge is even more disgusting, which will be discussed in forthcoming papers. Remind yourself, we have shown in Fig. 1. which are the imposed images extracted from GS, and presented by [8]. In Fig. 1, ...
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... dimension (length or radius) is reduced. On the other hand for finite confinement potential the binding energy increases up to maximum and then begins to decrease. It has also been observed in the case of donor doped QW’s and infinite QW’s11 that the binding energy is maximum when the impurity is lo ...
On Classical and Quantum Objectivity - Philsci
On Classical and Quantum Objectivity - Philsci

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... where M is the total mass of the system and v is the speed of the center of mass. The total momentum of a system of n particles is equal to the multiplication of the total mass of the system and the speed of the center of mass. So long as the net force on the entire system is zero, the total momentu ...
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Quantum Computing - Computer Science

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Random Reality - Forgotten Planet

... like to see more emerge from the model before committing himself. "It would be much more convincing if Cahill and Klinger could show something physical--that is, some physical law--emerging from this," says Frieden. "For example, if this is to be a model of space, I would expect something like Eins ...
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... argument as a purely formal argument, which requested only the existence of syntactic or structural features between the two theories, but already in the 1920s he realized that a new theory should be subjected to intelligibility or semantic constraints as well. Before we can put questions to quantum ...
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Quantum Superpositions and Causality: On the Multiple Paths to the

... being and not being at one and the same time.4 The contradiction of being and not being present in rational potentiality is only dissolved when, considering the actual realm, one of the terms is effectuated. Contrary to the case of irrational potentiality, where a teleological cause places the end i ...
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How to model quantum plasmas Giovanni Manfredi

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48x36 poster template - School of Computer Science and Engineering

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A persistent particle ontology for QFT in terms of the Dirac sea

The Quantum Free Electron Laser
The Quantum Free Electron Laser

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Renormalization group



In theoretical physics, the renormalization group (RG) refers to a mathematical apparatus that allows systematic investigation of the changes of a physical system as viewed at different distance scales. In particle physics, it reflects the changes in the underlying force laws (codified in a quantum field theory) as the energy scale at which physical processes occur varies, energy/momentum and resolution distance scales being effectively conjugate under the uncertainty principle (cf. Compton wavelength).A change in scale is called a ""scale transformation"". The renormalization group is intimately related to ""scale invariance"" and ""conformal invariance"", symmetries in which a system appears the same at all scales (so-called self-similarity). (However, note that scale transformations are included in conformal transformations, in general: the latter including additional symmetry generators associated with special conformal transformations.)As the scale varies, it is as if one is changing the magnifying power of a notional microscope viewing the system. In so-called renormalizable theories, the system at one scale will generally be seen to consist of self-similar copies of itself when viewed at a smaller scale, with different parameters describing the components of the system. The components, or fundamental variables, may relate to atoms, elementary particles, atomic spins, etc. The parameters of the theory typically describe the interactions of the components. These may be variable ""couplings"" which measure the strength of various forces, or mass parameters themselves. The components themselves may appear to be composed of more of the self-same components as one goes to shorter distances.For example, in quantum electrodynamics (QED), an electron appears to be composed of electrons, positrons (anti-electrons) and photons, as one views it at higher resolution, at very short distances. The electron at such short distances has a slightly different electric charge than does the ""dressed electron"" seen at large distances, and this change, or ""running,"" in the value of the electric charge is determined by the renormalization group equation.
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