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The quantum system - Università degli Studi dell`Insubria
The quantum system - Università degli Studi dell`Insubria

... the parallels between the properties of the quantum system and those of the classical one are not fully perceived. In this paper we wish to show that the quantum free particle has many interesting properties usually not mentioned in introductory books (most notably the existence and the conservation ...
Document
Document

Einstein`s contributions to atomic physics
Einstein`s contributions to atomic physics

... the development by Thomas Young of the wave model. In contrast, Planck assumed that discrete resonators produced quanta of energy, but the electromagnetic waves so produced were considered to be continuously distributed over space. Following Planck’s nomenclature, Einstein used the words ‘Raumpunkte ...
Thermal equilibrium states for quantum fields on
Thermal equilibrium states for quantum fields on

ppt - CS Technion
ppt - CS Technion

... Query transformation U i consists of two transformations (U i0 , U i1 ) U i0  I is applied to all H i  | v  for which av  0 and U i1  I is applied to all H i  | v  for which av  1 Z-local transformation * U i (|    | v )  H i  H  ( v ) ...
Strong Electroweak Symmetry Breaking
Strong Electroweak Symmetry Breaking

Quantum Spin Hall Effect in Graphene
Quantum Spin Hall Effect in Graphene

... approximation: uK;K0 ;A;B r  p expiKp r  d= 3. Here Kp are the crystal momenta at the three corners of the Brillouin zone equivalent to K or K 0 , and d is the a basis vector from a hexagon center to an A or B sublattice site. We find that the matrix elements have precisely the structu ...
Statistical Methods and Thermodynamics Chem 530b: Lecture
Statistical Methods and Thermodynamics Chem 530b: Lecture

Band-trap capture and emission in the generalized kinetic theory of
Band-trap capture and emission in the generalized kinetic theory of

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7. Low Energy Effective Actions

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PowerPoint - Subir Sachdev

... Avoided level crossing which becomes sharp in the infinite volume limit: second-order transition ...
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The general structure of quantum resource theories

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...  = c ). This bulk s-wave superconductor, however, coexists with nodal fermions at k = 0. Since on both sides of  = c the ground states are fully gapped, we can construct the (T -) phase diagram for this TQCP [Fig. 1(b)] by drawing two crossover curves marking kB T ∼ E0 () on both sides of c . ...
Quantum effects in biology
Quantum effects in biology

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PowerPoint

Quantum effects in biology
Quantum effects in biology

Photon pairs with coherence time exceeding 1 μs
Photon pairs with coherence time exceeding 1 μs

... longitudinal length L  1.5 cm and a temperature of 100 μK. The experiment is run periodically with 4.5 ms MOT time followed by 0.5 ms biphoton generation time in each cycle. At end of the MOT time, the trapping and repumping lasers (not shown in Fig. 1) are switched off and all the atoms are optica ...
Theory of relativistic electron holes in hot plasmas
Theory of relativistic electron holes in hot plasmas

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The scattering of α and β particles by matter and the structure of the

Adiabatic State Preparation of Interacting Two-Level Systems R. T. Brierley, C. Creatore,
Adiabatic State Preparation of Interacting Two-Level Systems R. T. Brierley, C. Creatore,

... in each band are the most symmetrical states, which for J > 0 (J < 0) have the lowest (highest) energies, see Fig. 1 (Fig. 1 inset) [37]. The finite N model in this limit is then similar to one used to describe adiabatic control of rotational states in molecules [38]. The field term in the Hamiltoni ...
lecture notes on statistical mechanics - MSU Physics
lecture notes on statistical mechanics - MSU Physics

Physics Today
Physics Today

... The procedure operates in a space in which all vectors have D Cartesian coordinates. It involves generalizing the Schrödinger equation to D spatial dimensions and rescaling coordinates and energy to absorb generic D-dependence. For the simple case of the H atom, the D-dependence is exactly known and ...
One-Particle Density Matrix Functional for Correlation in Molecular
One-Particle Density Matrix Functional for Correlation in Molecular

< 1 ... 125 126 127 128 129 130 131 132 133 ... 511 >

Renormalization



In quantum field theory, the statistical mechanics of fields, and the theory of self-similar geometric structures, renormalization is any of a collection of techniques used to treat infinities arising in calculated quantities.Renormalization specifies relationships between parameters in the theory when the parameters describing large distance scales differ from the parameters describing small distances. Physically, the pileup of contributions from an infinity of scales involved in a problem may then result in infinities. When describing space and time as a continuum, certain statistical and quantum mechanical constructions are ill defined. To define them, this continuum limit, the removal of the ""construction scaffolding"" of lattices at various scales, has to be taken carefully, as detailed below.Renormalization was first developed in quantum electrodynamics (QED) to make sense of infinite integrals in perturbation theory. Initially viewed as a suspect provisional procedure even by some of its originators, renormalization eventually was embraced as an important and self-consistent actual mechanism of scale physics in several fields of physics and mathematics. Today, the point of view has shifted: on the basis of the breakthrough renormalization group insights of Kenneth Wilson, the focus is on variation of physical quantities across contiguous scales, while distant scales are related to each other through ""effective"" descriptions. All scales are linked in a broadly systematic way, and the actual physics pertinent to each is extracted with the suitable specific computational techniques appropriate for each.
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