
Introduction to Nuclear and Particle Detectors
... The sudden change in electric field as an ultrarelativistic charged particle passes from one medium to another results in ~keV photons. Ultrarelativistic: >~ 1000 = (1- 2)-1/2 = E/m Light is emitted at the angle ...
... The sudden change in electric field as an ultrarelativistic charged particle passes from one medium to another results in ~keV photons. Ultrarelativistic: >~ 1000 = (1- 2)-1/2 = E/m Light is emitted at the angle ...
V. Linetsky, “The Path Integral Approach to Financial Modeling and
... volatilities and correlations. The central result here is a general path integral representation (Feynman–Kac formula) for a path-dependent option contingent upon a finite number of underlying asset prices. The path integration measure is given by an exponential of the negative of the action functio ...
... volatilities and correlations. The central result here is a general path integral representation (Feynman–Kac formula) for a path-dependent option contingent upon a finite number of underlying asset prices. The path integration measure is given by an exponential of the negative of the action functio ...
Phase Transitions in Two-Dimensional Colloidal Systems
... lattice lines into the otherwise perfect lattice. Due to this lines a single dislocation cannot be made to disappear by any continuous transformation. This is why a dislocation is a topological defect. Fig. (3) shows a dislocation in a square and a triangular lattice with the thick dashed lines repr ...
... lattice lines into the otherwise perfect lattice. Due to this lines a single dislocation cannot be made to disappear by any continuous transformation. This is why a dislocation is a topological defect. Fig. (3) shows a dislocation in a square and a triangular lattice with the thick dashed lines repr ...
The development of the quantum-mechanical electron theory of metals
... Deutsches Museum, Postfach 260102, 0-8000 Munich 26, Federal Republic of Germany We trace the fundamental developments and events, in their intellectual as well as institutional settings, of the emergence of the quantum-mechanical electron theory of metals from 1928 to 1933. This paper continues an ...
... Deutsches Museum, Postfach 260102, 0-8000 Munich 26, Federal Republic of Germany We trace the fundamental developments and events, in their intellectual as well as institutional settings, of the emergence of the quantum-mechanical electron theory of metals from 1928 to 1933. This paper continues an ...
Localized - Current research interest: photon position
... operator with localized eigenvectors that transforms like a vector. (3) If a relativistic particle is localized for an instant, at all other times it is not confined to any bounded region (Hegerfeldt 1974). ...
... operator with localized eigenvectors that transforms like a vector. (3) If a relativistic particle is localized for an instant, at all other times it is not confined to any bounded region (Hegerfeldt 1974). ...
BUSSTEPP Lectures on String Theory
... The main references for string theory used during the course were the standard books on the subject [31, 47] and the more recent review article [37]. The prerequisite supersymmetry lectures can be found in [20].1 The lectures were delivered in the morning and exercises were assigned for the tutorial ...
... The main references for string theory used during the course were the standard books on the subject [31, 47] and the more recent review article [37]. The prerequisite supersymmetry lectures can be found in [20].1 The lectures were delivered in the morning and exercises were assigned for the tutorial ...
Matrix Product States for Lattice Gauge Theories
... those known from the classical description of Nature. For example, one may think of superposition of quantum states, interference, or tunneling. All these well known examples have one thing in common: they can already be observed in single-particle systems. But there are further purely quantum-mecha ...
... those known from the classical description of Nature. For example, one may think of superposition of quantum states, interference, or tunneling. All these well known examples have one thing in common: they can already be observed in single-particle systems. But there are further purely quantum-mecha ...
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.