From Path Integrals to Fractional Quantum Statistics
... where S(H) is the classical action of the history, computed by integrating the Lagrangian along the history. Once we know what the amplitude of each history is, we can find the amplitude of the transition by summing up the amplitudes for all possible histories [? ]. In most situations, the path inte ...
... where S(H) is the classical action of the history, computed by integrating the Lagrangian along the history. Once we know what the amplitude of each history is, we can find the amplitude of the transition by summing up the amplitudes for all possible histories [? ]. In most situations, the path inte ...
I. Relativity
... We require that all the “Laws” of Physics be the same in all inertial reference frames. We require further that when v << c, we recover the familiar Newtonian forms of the “Laws.” This latter requirement is called a Correspondence Principle. What are those “Laws”? ...
... We require that all the “Laws” of Physics be the same in all inertial reference frames. We require further that when v << c, we recover the familiar Newtonian forms of the “Laws.” This latter requirement is called a Correspondence Principle. What are those “Laws”? ...
Ashtekar.pdf
... For, just as the classical Riemannian geometry of Σ is determined by the triads Eia , all Riemannian geometry operators – such as the area operator ÂS associated with a 2-surface S or the volume operator V̂R associated with a region R – are constructed from Êia . However, since even the classical ...
... For, just as the classical Riemannian geometry of Σ is determined by the triads Eia , all Riemannian geometry operators – such as the area operator ÂS associated with a 2-surface S or the volume operator V̂R associated with a region R – are constructed from Êia . However, since even the classical ...
Numerical study of the strongly screened vortex-glass model in an...
... properties of the vortex glass Hamiltonian 共3兲 are periodic in the strength of the external field B, i.e., the filling factor. As can easily be seen in Fig. 4 the defect energy 关 ⌬E(B,L) 兴 av is independent of the value of B. For any fixed value of B the finite-size scaling relation 共5兲 is confirmed ...
... properties of the vortex glass Hamiltonian 共3兲 are periodic in the strength of the external field B, i.e., the filling factor. As can easily be seen in Fig. 4 the defect energy 关 ⌬E(B,L) 兴 av is independent of the value of B. For any fixed value of B the finite-size scaling relation 共5兲 is confirmed ...
FUNDAMENTAL ASPECTS OF STATISTICAL PHYSICS AND
... Stability and instability of many-body localization with respect to ergodic grains Many Body Localization (MBL) is a phenomenon where systems do not thermalize, without fine-tuning their dynamics to an integrable point. The extent of this phenomenon is very much debated right now. I will describe ou ...
... Stability and instability of many-body localization with respect to ergodic grains Many Body Localization (MBL) is a phenomenon where systems do not thermalize, without fine-tuning their dynamics to an integrable point. The extent of this phenomenon is very much debated right now. I will describe ou ...
Quantum Spacetimes and Finite N Effects in 4D Super Yang
... truncates at N . Since the Yang-Mills theory has an SO(6) global symmetry, we get an SO(6) covariant cutoff on the chiral primaries. In the large N limit, the chiral primaries are matched on the gravitational side with modes coming form KK reduction on S 5 . To understand the cutoff at finite N , we ...
... truncates at N . Since the Yang-Mills theory has an SO(6) global symmetry, we get an SO(6) covariant cutoff on the chiral primaries. In the large N limit, the chiral primaries are matched on the gravitational side with modes coming form KK reduction on S 5 . To understand the cutoff at finite N , we ...
Semiclassical Correlation in Density
... • Semiclassical methods capture zero-point energy, interference, tunneling (to some extent), all just from running classical trajectories. • Rigorous semiclassical methods are exact to O(h) • Phase-space integral done by Monte-Carlo, but oscillatory nature can be horrible to converge without filter ...
... • Semiclassical methods capture zero-point energy, interference, tunneling (to some extent), all just from running classical trajectories. • Rigorous semiclassical methods are exact to O(h) • Phase-space integral done by Monte-Carlo, but oscillatory nature can be horrible to converge without filter ...
Thomson scattering: - Ira-Inaf
... The main cause of the acceleration of the particle will be due to the electric field component of the incident wave. The particle will move in the direction of the oscillating electric field, resulting in electromagnetic dipole radiation. The moving particle radiates most strongly in a direction pe ...
... The main cause of the acceleration of the particle will be due to the electric field component of the incident wave. The particle will move in the direction of the oscillating electric field, resulting in electromagnetic dipole radiation. The moving particle radiates most strongly in a direction pe ...
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.