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Two-Center Gaussian potential well for studying light nucleus in
Two-Center Gaussian potential well for studying light nucleus in

... where A,C and B are the potential depth, the parameters  and  are inverse square range and z0 is cluster centers. We study nucleus that have two identical cluster structure. Hence, we suppose the parameters A =C and = to have a symmetric potential form. In Fig.2, the potential is plotted for s ...
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... being such an admirable person, a strong ghter and hopefully one day a good friend. I want to thank my Masters colleagues Hodei Eneriz and Ander Tobalina for the good times shared through this crazy year, ghting side by side in every battle. I would also like to thank Mr. Miguel Ángel Simon for be ...
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Four levels of complexity in mathematics and physics

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Filtering Actions of Few Probabilistic Effects

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Lecture notes, Chapter 2. Introduction to Quantum Mechanics

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... In this paper we show that this universal term has a natural meaning in the world of noncommutative probability theory: it is the free analog of the Fisher information obtained by Voiculescu.9 – 12 This continues our earlier work8 where it is shown that the Jacobian of the change of variables to inv ...
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arXiv:quant-ph/0201093 v2 2 May 2002
arXiv:quant-ph/0201093 v2 2 May 2002

... strength generated by iterated extensions of a theory. Other aspects of a coherent theory that are discussed include universal applicability, the strong anthropic principle, and the possible uniqueness of a coherent theory. Problems in how to exactly define universal applicability are considered. It ...
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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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