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Many-Body Localization
Many-Body Localization

Closed and Open String Theories in Non-Critical Backgrounds
Closed and Open String Theories in Non-Critical Backgrounds

... 4. Non critical string theories admit solutions which resemble black holes in four dimensions. The possibility of studying black holes via a holographic unitary quantum theory is obviously very exciting towards understanding the issue of unitarity, or information loss in a black hole. We shall begin ...
From the Mendeleev periodic table to particle physics and back to
From the Mendeleev periodic table to particle physics and back to

... Mann and the ‘aces’of G. Zweig. Gell-Mann and Zweig postulated the existence of three elementary particles and their anti-particles, now called quarks and antiquarks, classified into a triplet and an anti-triplet of SU(3) from which it is possible to generate all hadrons. As soon as 1970, a fourth q ...
Closed timelike curves make quantum and classical computing
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Spin-Orbit Interactions in Topological Insulators
Spin-Orbit Interactions in Topological Insulators

The 1925 Born and Jordan paper “On quantum mechanics”
The 1925 Born and Jordan paper “On quantum mechanics”

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Beyond the Physical Universe: Lectures on Modern
Beyond the Physical Universe: Lectures on Modern

On the Quantum Theory of Line–spectra
On the Quantum Theory of Line–spectra

... factor coincides with Planck’s, if we only assume that the frequency corresponding to the transition between the two states is determined by (1). If will therefore be seen that by reversing the line of argument, Einstein’s theory may be considered as a very direct support of the latter relation. In ...
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Measurement-based quantum computation with mechanical oscillators
Measurement-based quantum computation with mechanical oscillators

PDF only - at www.arxiv.org.
PDF only - at www.arxiv.org.

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... of the Earth had a magnitude of 3.3 x 10 -5 tesla. For your calculations, assume that the experiment was completed successfully, that the wire is perpendicular to the magnetic field, and that the field is uniform. a. An emf is generated in the tether. i. Which end of the tether is negative? ii. Cal ...
Efimov Trimers under Strong Confinement
Efimov Trimers under Strong Confinement

... weakly bound s-wave trimer states [1], with the deepest bound trimer set by the short-distance physics [6]. Such self-similar behavior is reminiscent of more complex systems in nature, such as coastlines, snowflakes, and ferns [7], rather than of a typical few-body system—for instance, the two-body ...
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Three attractively interacting fermions in a harmonic trap: Exact

Fault-Tolerant Quantum Computation
Fault-Tolerant Quantum Computation

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Bound states in inhomogeneous magnetic field in graphene
Bound states in inhomogeneous magnetic field in graphene

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... An element p which has this property is called an atom of L. Since on the other hand for every property of S there has to be a state in which the system possesses this property, we have the following axiom: (1) L is an atomic lattice. This means that for every element b of L there exists an atom p s ...
Inverse magnetic catalysis in QCD and holography
Inverse magnetic catalysis in QCD and holography

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Dark Energy and Modified Gravity
Dark Energy and Modified Gravity

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Shor`s Algorithm and the Quantum Fourier Transform
Shor`s Algorithm and the Quantum Fourier Transform

... 2 QUANTUM MECHANICS AND QUANTUM COMPUTATION study for a computation complexity theorist. We will, however, try to give some intuitive insight into the theory of complexity classes. Consider an algorithm which takes in an input of length n (for example, the number of digits in a number). We call thi ...
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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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