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## The theory of Compton scattering

*W. Schülke*

### in X-Ray Compton Scattering

- Published in print:
- 2004
- Published Online:
- September 2007
- ISBN:
- 9780198501688
- eISBN:
- 9780191718045
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198501688.003.0002
- Subject:
- Physics, Atomic, Laser, and Optical Physics

This chapter deals with the theory of the double differential photon scattering cross-section in both non-relativistic and relativistic treatments. It shows how the Impulse Approximation leads to a ... More

## Magnetic structures

*Erich H. Kisi and Christopher J. Howard*

### in Applications of Neutron Powder Diffraction

- Published in print:
- 2008
- Published Online:
- January 2009
- ISBN:
- 9780198515944
- eISBN:
- 9780191705663
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198515944.003.0007
- Subject:
- Physics, Condensed Matter Physics / Materials

This chapter opens with a brief description of the very wide variety of magnetically ordered structures, both commensurate (with crystal structure) and incommensurate. The concepts of magnetic ... More

## The reconstruction of momentum density

*N. K. Hansen*

### in X-Ray Compton Scattering

- Published in print:
- 2004
- Published Online:
- September 2007
- ISBN:
- 9780198501688
- eISBN:
- 9780191718045
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198501688.003.0006
- Subject:
- Physics, Atomic, Laser, and Optical Physics

This chapter describes how the three-dimensional electron density distribution can be reconstructed from measured one-dimensional projections (the directional Compton profiles) by the Fourier-Bessel ... More

## Ising model spontaneous magnetization and form factors

*Barry M. McCoy*

### in Advanced Statistical Mechanics

- Published in print:
- 2009
- Published Online:
- February 2010
- ISBN:
- 9780199556632
- eISBN:
- 9780191723278
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199556632.003.0012
- Subject:
- Physics, Theoretical, Computational, and Statistical Physics

This chapter develops and uses the theory of Wiener–Hopf sum equations to derive Szegö's theorem. This theorem is used to compute the spontaneous magnetization of the Ising model. The Wiener–Hopf ... More

## Monte Carlo Models

*GÜNTHER DISSERTORI, IAN G. KNOWLES, and MICHAEL SCHMELLING*

### in Quantum Chromodynamics: High Energy Experiments and Theory

- Published in print:
- 2009
- Published Online:
- January 2010
- ISBN:
- 9780199566419
- eISBN:
- 9780191708060
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199566419.003.0004
- Subject:
- Physics, Particle Physics / Astrophysics / Cosmology

This chapter presents a brief introduction to the modelling of exclusive final states from high-energy collisions between elementary particles. It starts with the matrix element models for the ... More

## Beyond the Standard Model

*Robin Devenish and Amanda Cooper-Sarkar*

### in Deep Inelastic Scattering

- Published in print:
- 2003
- Published Online:
- January 2010
- ISBN:
- 9780198506713
- eISBN:
- 9780191709562
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198506713.003.0012
- Subject:
- Physics, Particle Physics / Astrophysics / Cosmology

This chapter explains the techniques used in deep inelastic scattering to search for BSM signals and to set limits. The discussion concentrates on high energy ep scattering at HERA. All methods rely ... More

## Form Factors and Correlation Functions

*Giuseppe Mussardo*

### in Statistical Field Theory: An Introduction to Exactly Solved Models in Statistical Physics

- Published in print:
- 2020
- Published Online:
- May 2020
- ISBN:
- 9780198788102
- eISBN:
- 9780191830082
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780198788102.003.0019
- Subject:
- Physics, Theoretical, Computational, and Statistical Physics

At the heart of a quantum field theory are the correlation functions of the various fields. In the case of integrable models, the correlators can be expressed in terms of the spectral series based on ... More

## Basics of small angle scattering

*Dmitri I. Svergun, Michel H. J. Koch, Peter A. Timmins, and Roland P. May*

### in Small Angle X-Ray and Neutron Scattering from Solutions of Biological Macromolecules

- Published in print:
- 2013
- Published Online:
- December 2013
- ISBN:
- 9780199639533
- eISBN:
- 9780191747731
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199639533.003.0002
- Subject:
- Physics, Crystallography: Physics

The basic concepts of elastic scattering of X-rays and neutrons are presented in a simple manner, and the differences between the two phenomena are explained. The notions of real and reciprocal ... More

## Magnetic Scattering: General Properties

*Andrew T. Boothroyd*

### in Principles of Neutron Scattering from Condensed Matter

- Published in print:
- 2020
- Published Online:
- October 2020
- ISBN:
- 9780198862314
- eISBN:
- 9780191895081
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780198862314.003.0006
- Subject:
- Physics, Atomic, Laser, and Optical Physics, Condensed Matter Physics / Materials

The basic theory of magnetic scattering is presented. A response function for magnetic scattering is defined, and expressed in terms partial response functions. The relation between the partial ... More

## Introduction

*Dmitri I. Svergun, Michel H. J. Koch, Peter A. Timmins, and Roland P. May*

### in Small Angle X-Ray and Neutron Scattering from Solutions of Biological Macromolecules

- Published in print:
- 2013
- Published Online:
- December 2013
- ISBN:
- 9780199639533
- eISBN:
- 9780191747731
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199639533.003.0001
- Subject:
- Physics, Crystallography: Physics

Biological macromolecules in solution have random orientations and positions. Their scattering is extremely weak and concentrated around the direct beam, requiring instruments with an intense nearly ... More

## Diffraction in the Static Approximation

*Andrew T. Boothroyd*

### in Principles of Neutron Scattering from Condensed Matter

- Published in print:
- 2020
- Published Online:
- October 2020
- ISBN:
- 9780198862314
- eISBN:
- 9780191895081
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780198862314.003.0002
- Subject:
- Physics, Atomic, Laser, and Optical Physics, Condensed Matter Physics / Materials

The basic principles of crystallography are reviewed, including the lattice, basis and reciprocal lattice. The Bragg diffraction law and Laue equation, which describe coherent scattering from a ... More

## Non-local form factors in flat and curved spacetime

*Iosif L. Buchbinder and Ilya L. Shapiro*

### in Introduction to Quantum Field Theory with Applications to Quantum Gravity

- Published in print:
- 2021
- Published Online:
- April 2021
- ISBN:
- 9780198838319
- eISBN:
- 9780191874666
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780198838319.003.0016
- Subject:
- Physics, Particle Physics / Astrophysics / Cosmology, Theoretical, Computational, and Statistical Physics

This chapter is devoted to the direct explicit calculations of non-local form factors in two-point functions in real scalar field theory. Two simple examples in flat spacetime demonstrate the ... More

## Basic Scattering by Particles

*Wim H. de Jeu*

### in Basic X-Ray Scattering for Soft Matter

- Published in print:
- 2016
- Published Online:
- June 2016
- ISBN:
- 9780198728665
- eISBN:
- 9780191795442
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198728665.003.0002
- Subject:
- Physics, Crystallography: Physics, Soft Matter / Biological Physics

In Chapter 2 the scattering of x-rays is extended to atoms, molecules, and more complex particles like colloids. This allows the elucidatation of the basic principles of scattering in some detail, ... More

## Scattering Rate in a Quantum Well

*B. K. Ridley*

### in Hybrid Phonons in Nanostructures

- Published in print:
- 2017
- Published Online:
- April 2017
- ISBN:
- 9780198788362
- eISBN:
- 9780191830280
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198788362.003.0016
- Subject:
- Physics, Condensed Matter Physics / Materials

Combining simplicity and clarity, this chapter focuses on a quantum well structure in which a polar material is sandwiched between identical polar layers that act as barriers to electrons. The ... More

## The Electromagnetic Interactions

*J. Iliopoulos and T.N. Tomaras*

### in Elementary Particle Physics: The Standard Theory

- Published in print:
- 2021
- Published Online:
- December 2021
- ISBN:
- 9780192844200
- eISBN:
- 9780191926983
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780192844200.003.0016
- Subject:
- Physics, Particle Physics / Astrophysics / Cosmology, Theoretical, Computational, and Statistical Physics

We briefly review the birth of renormalisation theory at the 1947 Shelter Island conference. We study the particular case of quantum electrodynamics in the example of an electron scattered by an ... More

## Scattering Rate in a Single Heterostructure

*B. K. Ridley*

### in Hybrid Phonons in Nanostructures

- Published in print:
- 2017
- Published Online:
- April 2017
- ISBN:
- 9780198788362
- eISBN:
- 9780191830280
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198788362.003.0015
- Subject:
- Physics, Condensed Matter Physics / Materials

This chapter covers: the scattering potentia in a single heterostructure; intra-lowest-subband scattering rate; summing over qz; the form factor; lattice dispersion and regimes of frequency; LO-like ... More

## Form Factor Perturbation Theory

*Giuseppe Mussardo*

### in Statistical Field Theory: An Introduction to Exactly Solved Models in Statistical Physics

- Published in print:
- 2020
- Published Online:
- May 2020
- ISBN:
- 9780198788102
- eISBN:
- 9780191830082
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780198788102.003.0022
- Subject:
- Physics, Theoretical, Computational, and Statistical Physics

Chapter 22 introduces a perturbative technique based on the form factors to study non-integrable models. These models often include stumbling blocks like decays and production scattering processes, ... More

## The conformal anomaly and anomaly-induced action

*Iosif L. Buchbinder and Ilya L. Shapiro*

### in Introduction to Quantum Field Theory with Applications to Quantum Gravity

- Published in print:
- 2021
- Published Online:
- April 2021
- ISBN:
- 9780198838319
- eISBN:
- 9780191874666
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780198838319.003.0017
- Subject:
- Physics, Particle Physics / Astrophysics / Cosmology, Theoretical, Computational, and Statistical Physics

This chapter describes in detail basic results concerning the conformal (trace) anomaly and anomaly-induced action in four spacetime dimensions. It is shown how the anomaly appears from the non-local ... More

## Chemical Properties of Soils for Growing Plants

*Robert F. Keefer*

### in Handbook of Soils for Landscape Architects

- Published in print:
- 1999
- Published Online:
- November 2020
- ISBN:
- 9780195121025
- eISBN:
- 9780197561270
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780195121025.003.0011
- Subject:
- Earth Sciences and Geography, Soil Science

Soil reaction is the amount of acids (acidity) or bases (alkalinity) present in a soil and is indicated by a term called “pH”. By definition, pH is the logarithm of the reciprocal of the hydrogen ... More

## Infrared Singularities

*Laurent Baulieu, John Iliopoulos, and Roland Sénéor*

### in From Classical to Quantum Fields

- Published in print:
- 2017
- Published Online:
- May 2017
- ISBN:
- 9780198788393
- eISBN:
- 9780191830310
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780198788393.003.0021
- Subject:

The problem of infrared singularities is studied for massless field theories order by order in perturbation theory. The resulting resummation is shown for the case of quantum electrodynamics.

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