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Bohr`s quantum postulate and time in quantum mechanics
Bohr`s quantum postulate and time in quantum mechanics

Knots, trees, and fields: common ground between physics and
Knots, trees, and fields: common ground between physics and

THE PRIMARY PHENOMENOLOGICAL SYMBOLIC PROCESS OF
THE PRIMARY PHENOMENOLOGICAL SYMBOLIC PROCESS OF

Quantum Mechanical Addition of Angular Momenta and Spin
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... the socalled total angular momentum, classically speaking the sum of all angular momenta and spins of the composite system, is the quantity of interest, since related operators, sums of orbital angular momentum and of spin operators of the particles, commute with the Hamiltonian of the composite sys ...
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Quantum Optics Toolbox User`s Guide

Quantum Computation and Algorithms
Quantum Computation and Algorithms

... known even in quantum computation. We do not know whether we can find out an efficient solution for them or not. So, though it is clear that P is a subset of NP but whether P 6= NP or P = NP is still a question to many of the computer scientists. ...
Subatomic Physics Notes
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... What do you think? • When the idea of the atom was first conceived, it was thought to be a fundamental particle, indivisible and indestructible. We now know differently. • List every particle you can think of that is smaller than an atom. • If you know the properties of these particles, list them as ...
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... vice versa, commonly called D0-D0 mixing, has been observed by several experiments in a variety of channels during the past year. While K0-K0 mixing and B0-B0 mixing are (relatively) well understood in the Standard Model of particle physics, the observations of D0-D0 mixing indicate that the physica ...
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No Slide Title

b,Q 2 - INFN - Torino Personal pages
b,Q 2 - INFN - Torino Personal pages

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Topics in Ultracold Atomic Gases: Strong Interactions and Quantum

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chapter 10 - School of Physics

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Prime Factorization by Quantum Adiabatic Computation
Prime Factorization by Quantum Adiabatic Computation

... and is not very transparent. Therefore the proof presented here follows a different approach based on contour integration given by C. Wittig in 2005 [41]. There is also a very short proof by A. C. Vutha from 2010 [40], which will not be covered here. To derive the conditions for adiabatic and non-ad ...
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Electromagnetic Casimir densities for a conducting plate in dS and

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Applications of Functional Analysis in Quantum Scattering Theory

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CHAPTER 15 - Quantum cryptography

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Photoemission studies of quantum well states in thin films

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Certainty and Uncertainty in Quantum Information Processing

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The Quantum Vacuum and the Cosmological Constant Problem
The Quantum Vacuum and the Cosmological Constant Problem

Lecture notes - Valeev Group
Lecture notes - Valeev Group

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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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