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1 Introduction : Phase transitions in 2D electron systems 2
1 Introduction : Phase transitions in 2D electron systems 2

... the coherent state of the vortices induces voltage and an insulating state is reached for some critical disorder, now with different value then in the zero-field case. Although there are many succeses to the dirty-boson model, still it is lacking in explaining some features of the experiment, specia ...
Transformation rules and matrices
Transformation rules and matrices

... (x, y) stands for the input point. (x′, y′) stands for the output point, also called the image. One way to give a transformation rule is to write a pair of equations. Here is an example: x′ = x + 3 y′ = y – 1 These equations say that given any point (x, y), the image point (x′, y′) is found by addin ...
Analytic properties of the Jost functions
Analytic properties of the Jost functions

... information about a given physical system. An interesting feature in the Jost function approach is that it allows a simultaneous treatment of bound, virtual, scattering and resonance states. Abundant litterature on Scattering Theory has chapters devoted to the Jost function, where usually it is expr ...
Giant spin Seebeck effect in a non
Giant spin Seebeck effect in a non

... when mBx . 1), the only remaining degree of freedom is their wave vector k which has only one component kx parallel to Bx The Lorentz force confines the motion to cyclotron orbits that are quantized into Landau levels with orbital quantum number i (5 0, 1, 2…). Each Landau level becomes further divi ...
Document
Document

Commun. Math. Phys. 110, 33-49
Commun. Math. Phys. 110, 33-49

... purely discrete spectrum. The system is started in a nondegenerate eigenstate. In 1950 Kato [8] extended the proof to H(s) that may have some continuous spectra provided the system is started in the spectral subspace of a discrete eigenvalue E(s\ possibly finitely degenerate. In this particular case ...
ClassicalMechanics_4..
ClassicalMechanics_4..

... As with linear momentum, we can use conservation of angular momentum without having to worry about the various (internal) torques in ...
DYNAMICAL ZETA FUNCTION FOR SEVERAL STRICTLY CONVEX
DYNAMICAL ZETA FUNCTION FOR SEVERAL STRICTLY CONVEX

... We may compare the functions Z0 (s) and ZD (s). As it was shown in [8], [18], [25] there exists µ1 > 0 such that ZD (s)−Z0 (s) is analytic for ℜs > s1 −µ1 . The number µ1 depends on the geometry of obstacles (see Appendix in [18] and [25]). In some cases we may show that s2 > s1 − µ1 . For example t ...
Linking Asteroids and Meteorites through Reflectance
Linking Asteroids and Meteorites through Reflectance

... rest hits another freight car with the same mass and the frieght cars become stuck together, what will be the velocity of the stuck cars? • (net mv) (before) = (net mv) (after) ...
Maximum Probability Domains for Hubbard Models
Maximum Probability Domains for Hubbard Models

Phases in noncommutative quantum mechanics on (pseudo) sphere
Phases in noncommutative quantum mechanics on (pseudo) sphere

... Noncommutative quantum field theories have been studied intensively during the last several years owing to their relationship with M-theory compactifications [1], string theory in nontrivial backgrounds [2] and quantum Hall effect [3] (see e.g. [4] for a recent review). At low energies the one-parti ...
Rotational Motion
Rotational Motion

... For a table of corresponding relationships Translational:Rotational see table 10.3 on page 261 Herriman High AP Physics C ...
An Exploration in Orthodox Theology and Physics Tanev, Stoyan
An Exploration in Orthodox Theology and Physics Tanev, Stoyan

Interplay of driving, nonlinearity and dissipation in nanoscale and ultracold atom systems
Interplay of driving, nonlinearity and dissipation in nanoscale and ultracold atom systems

... classical Duffing oscillator. An anharmonic statically monostable potential can be driven into a dynamically bistable regime showing various interesting features of non-linear response [2–4], such as hysteresis, period doubling, and thermal activation when finite temperatures are considered. The ext ...
Fuzzy topology, Quantization and Gauge Fields
Fuzzy topology, Quantization and Gauge Fields

Topological insulators
Topological insulators

Gregor Wentzel - National Academy of Sciences
Gregor Wentzel - National Academy of Sciences

... • the meson-nucleon scattering cross-section does not increase without limit for increasing g. Of course, unitarity (probability conservation) enforces an upper bound on the cross-section in any scattering calculation if done sufficiently correctly; Wentzel’s seems to be the first that was. Wentze ...
electric field effect on the binding energy of a non
electric field effect on the binding energy of a non

Three Levels of Cognition: Particulars, Universals, and Representals
Three Levels of Cognition: Particulars, Universals, and Representals

... It is a fact of life that many individual animals are born, grow into adulthood, reproduce, and die; each animal retains its identity by existing at every instant of time within a gross region of space. But the survival of every species depends on the ability of the members of the species: i) to rec ...
talk by Paul McGuirk
talk by Paul McGuirk

Empty Waves in Bohmian Quantum Mechanics - Philsci
Empty Waves in Bohmian Quantum Mechanics - Philsci

... of fundamental physics, and this is widely regarded as unacceptable, both because “measurement” is a vague term, and because measurement interactions are physical interactions like any other, and hence cannot follow new dynamical laws (Bell 1987, 117–8). In order to solve the measurement problem, th ...
as a PDF
as a PDF

pdf - at www.arxiv.org.
pdf - at www.arxiv.org.

Mechanics Activities - The University of Sydney
Mechanics Activities - The University of Sydney

... The students experiment with colliding moving and stationery objects of the same size, and of different size. The students should consider what happens when a moving object collides with a stationary one, what effect the relative masses have, and what role friction plays. They should consider the di ...
Document
Document

... terms which guarantee that the conservation laws are obeyed. All these properties are vital for treating open and correlated systems associated to the physical phenomena such as electron transport. In this thesis, we apply the Kadanoff-Baym formalism to study time-dependent nonequilibrium processes ...
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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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