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Tonks–Girardeau gas of ultracold atoms in an optical lattice
Tonks–Girardeau gas of ultracold atoms in an optical lattice

Momentum - Red Hook Central Schools
Momentum - Red Hook Central Schools

... wall with a velocity of 15 m/s. If it rebounds with a velocity of 12 m/s: a) what was its Dv? b) What was its Dp? ...
Structures as the objects of fundamental physics
Structures as the objects of fundamental physics

The Metaphysics of Quantities and Their Dimensions˚
The Metaphysics of Quantities and Their Dimensions˚

... always more than one way to choose a unit for a secondary quantity, given units for the primary quantities.6 To set up a system of scales, then, we divide the quantities we will measure into those that will be primary and those that will be secondary, select units for the primary quantities, and sp ...
Ground-state stability and criticality of two
Ground-state stability and criticality of two

Femtoscopy with unlike-sign kaons at STAR in 200 GeV Au+Au
Femtoscopy with unlike-sign kaons at STAR in 200 GeV Au+Au

... correctly asserted, came as a result of quantum statistics. Based on this observation the theoretical background of femtoscopy was developed by G. I. Kopylov and M. I. Podgoretsky in the 1970s [2]. Since then the femtoscopic measurements of two-particle correlations at low relative momenta became a ...
Winding number order in the haldane model with interactions
Winding number order in the haldane model with interactions

Kinematics Multiples
Kinematics Multiples

Single-exciton spectroscopy of single Mn doped InAs quantum dots
Single-exciton spectroscopy of single Mn doped InAs quantum dots

... sition 共X0A0 → A0兲 PL spectrum with five peaks with different intensities at zero applied field instead of the six almost identical peaks in CdTe. The presence of the acceptor hole also opens an additional optical recombination channel: the band-to-acceptor transition 共X0A0 → h+A−兲, such that the co ...
Novel Results for Condensed Matter Systems with Time Reversal Symmetry
Novel Results for Condensed Matter Systems with Time Reversal Symmetry

... regime of Coulomb Blockade [10]. The fact that superconductivity is associated with breaking of particle number conservation hints at the idea that in mesoscopic systems superconductivity can quite different from that of bulk systems. In this work we focus on extreme case of the so-called zerodimens ...
Resistivity induced by a rough surface of thin gold films deposited on
Resistivity induced by a rough surface of thin gold films deposited on

Electronic structure methods
Electronic structure methods

Elementary Quantum Mechanics
Elementary Quantum Mechanics

Similar Polygons
Similar Polygons

... Corresponding sides of the pentagons are proportional with a scale factor of —23. However, this does not necessarily mean the pentagons are similar. A dilation with center A and scale factor —23 moves ABCDE onto AFGHJ. Then a reflection moves AFGHJ onto KLMNP. D ...
Atom-atom interactions in ultracold gases - cours en ligne CEL
Atom-atom interactions in ultracold gases - cours en ligne CEL

A model of quantum reality
A model of quantum reality

Random operators: disorder effects on quantum spectra and
Random operators: disorder effects on quantum spectra and

... spectral properties of the Anderson model on the Bethe lattice, i.e., the infinite tree graph of constant vertex degree. For this, note that the proof of (10) above extends immediately to arbitrary graphs with bounded vertex degree, in particular the Bethe lattice, proving localization at sufficiently ...
- Leeds Beckett Repository
- Leeds Beckett Repository

... to each other, and “dissonant” notes are further apart from each other. The reason for such an order is to have an immediate measure for the dissonance, which then allows quantifying dissonance in a music piece. In order to achieve this, one needs first to define the terms “consonant” and “dissonant ...
Elec-‐ph. and ph.-‐ph. coupling in semiconductors and bismuth
Elec-‐ph. and ph.-‐ph. coupling in semiconductors and bismuth

... Jelena SJAKSTE, Nathalie VAST, Matteo CALANDRA, Francesco MAURI ...
Quantum_Computing
Quantum_Computing

... within the near future, and certainly not within the next 20 years, which is the time period covered by this prospectus. This paper will examine the future of silicon-based computing, as well as the merits and drawbacks of quantum computing. It will show that even if practical universal quantum comp ...
How brains make decisions
How brains make decisions

... minimal information that allows one to find a probability distribution under the minimal given information. The idea of this principle goes back to Gibbs [31–33], who formulated it as a conditional maximization of entropy under the given set of constraints. This principle is widely used in informati ...
pages 278-285
pages 278-285

Green Function Techniques in the Treatment of Quantum Transport
Green Function Techniques in the Treatment of Quantum Transport

arXiv:1407.5822v1 [physics.bio
arXiv:1407.5822v1 [physics.bio

Modeling Geometric Figures
Modeling Geometric Figures

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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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