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Aperiodic Crystals: From Modulated Phases to Quasicrystals

Ted Janssen, Gervais Chapuis, and Marc de Boissieu

Published in print:
2007
Published Online:
September 2007
ISBN:
9780198567776
eISBN:
9780191718335
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198567776.001.0001
Subject:
Physics, Crystallography

Until the 1970s, all materials studied consisted of periodic arrays of unit cells, or were amorphous. In the last decades a new class of solid state matter, called aperiodic crystals, has been found. ... More


SYSTEMATIC CRYSTAL CHEMISTRY

Sander Van Smaalen

in Incommensurate Crystallography

Published in print:
2007
Published Online:
January 2008
ISBN:
9780198570820
eISBN:
9780191718762
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198570820.003.0011
Subject:
Physics, Crystallography

This chapter gives an overview of compounds with incommensurate crystal structures. Superspace is an excellent tool for crystal chemical considerations, as it is demonstrated for selected classes of ... More


SYMMETRY OF MODULATED CRYSTALS

Sander Van Smaalen

in Incommensurate Crystallography

Published in print:
2007
Published Online:
January 2008
ISBN:
9780198570820
eISBN:
9780191718762
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198570820.003.0003
Subject:
Physics, Crystallography

This chapter gives a comprehensive account of the symmetry of incommensurately modulated crystals. Diffraction symmetry is shown to be given by a crystallographic point group as it is known from the ... More


INCOMMENSURATE COMPOSITE CRYSTALS

Sander Van Smaalen

in Incommensurate Crystallography

Published in print:
2007
Published Online:
January 2008
ISBN:
9780198570820
eISBN:
9780191718762
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198570820.003.0004
Subject:
Physics, Crystallography

This chapter introduces the superspace description of the crystal structures of incommensurate composite crystals, and the characterization of their symmetry by superspace groups. The treatment ... More


SUPERSTRUCTURES AND THE COMMENSURATE APPROXIMATION

Sander Van Smaalen

in Incommensurate Crystallography

Published in print:
2007
Published Online:
January 2008
ISBN:
9780198570820
eISBN:
9780191718762
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198570820.003.0005
Subject:
Physics, Crystallography

This chapter develops the relation between crystal structures of aperiodic crystals and superstructures. Superstructures are described as commensurately modulated structures, and it is shown that ... More


SUSY LAGRANGIANS

John Terning

in Modern Supersymmetry: Dynamics and Duality

Published in print:
2005
Published Online:
September 2007
ISBN:
9780198567639
eISBN:
9780191718243
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198567639.003.0002
Subject:
Physics, Particle Physics / Astrophysics / Cosmology

This chapter discusses the development of SUSY Lagrangians. Topics covered include the free Wess-Zumino model, commutators of SUSY transformations, an extension of the auxiliary field formalism to ... More


Supersymmetry

Gian Francesco Giudice

in A Zeptospace Odyssey: A Journey into the Physics of the LHC

Published in print:
2009
Published Online:
February 2010
ISBN:
9780199581917
eISBN:
9780191723001
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199581917.003.0010
Subject:
Physics, Particle Physics / Astrophysics / Cosmology

Superspace is an extension of space-time which includes new coordinates with unusual algebraic rules. The nature of superspace is quantum mechanical, because it requires the concept of particle spin. ... More


Hamiltonian formulation of general relativity

Claus Kiefer

in Quantum Gravity: Third Edition

Published in print:
2012
Published Online:
May 2012
ISBN:
9780199585205
eISBN:
9780191739378
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199585205.003.0004
Subject:
Physics, Theoretical, Computational, and Statistical Physics

This chapter, although dealing entirely with classical physics, prepares the ground for the following chapters by developing in full detail the Hamiltonian, or canonical, formulation of general ... More


Aperiodic Crystals: From Modulated Phases to Quasicrystals: Structure and Properties

Ted Janssen, Gervais Chapuis, and Marc de Boissieu

Published in print:
2018
Published Online:
August 2018
ISBN:
9780198824442
eISBN:
9780191863288
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198824442.001.0001
Subject:
Physics, Crystallography, Condensed Matter Physics / Materials

Until the 1970s all materials studied consisted of periodic arrays of unit cells, or were amorphous. In the following decades a new class of solid state matter, called aperiodic crystals, has been ... More


Beyond the Standard Model

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/9780198788393.003.0026
Subject:
Physics, Particle Physics / Astrophysics / Cosmology, Theoretical, Computational, and Statistical Physics

The motivation for supersymmetry. The algebra, the superspace, and the representations. Field theory models and the non-renormalisation theorems. Spontaneous and explicit breaking of super-symmetry. ... More


York’s Solution to the Initial-Value Problem

Flavio Mercati

in Shape Dynamics: Relativity and Relationalism

Published in print:
2018
Published Online:
April 2018
ISBN:
9780198789475
eISBN:
9780191831294
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198789475.003.0008
Subject:
Physics, Theoretical, Computational, and Statistical Physics, Particle Physics / Astrophysics / Cosmology

In this chapter I briefly review York’s method (or the conformal method) for solving the initial value problem of (GR). This method, developed initially by Lichnerowicz and then generalized by ... More


Shape Dynamics and the Linking Theory

Flavio Mercati

in Shape Dynamics: Relativity and Relationalism

Published in print:
2018
Published Online:
April 2018
ISBN:
9780198789475
eISBN:
9780191831294
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198789475.003.0012
Subject:
Physics, Theoretical, Computational, and Statistical Physics, Particle Physics / Astrophysics / Cosmology

This chapter explains in detail the current Hamiltonian formulation of SD, and the concept of Linking Theory of which (GR) and SD are two complementary gauge-fixings. The physical degrees of freedom ... More


Introduction

Ted Janssen, Gervais Chapuis, and Marc de Boissieu

in Aperiodic Crystals: From Modulated Phases to Quasicrystals: Structure and Properties

Published in print:
2018
Published Online:
August 2018
ISBN:
9780198824442
eISBN:
9780191863288
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198824442.003.0001
Subject:
Physics, Crystallography, Condensed Matter Physics / Materials

First a general description of the concept of crystalline structures is presented with some historical background information. The classical approach of periodic structures is presented along with ... More


Description and symmetry of aperiodic crystals

Ted Janssen, Gervais Chapuis, and Marc de Boissieu

in Aperiodic Crystals: From Modulated Phases to Quasicrystals: Structure and Properties

Published in print:
2018
Published Online:
August 2018
ISBN:
9780198824442
eISBN:
9780191863288
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198824442.003.0002
Subject:
Physics, Crystallography, Condensed Matter Physics / Materials

This chapter first introduces the mathematical concept of aperiodic and quasiperiodic functions, which will form the theoretical basis of the superspace description of the new recently discovered ... More


Structure

Ted Janssen, Gervais Chapuis, and Marc de Boissieu

in Aperiodic Crystals: From Modulated Phases to Quasicrystals: Structure and Properties

Published in print:
2018
Published Online:
August 2018
ISBN:
9780198824442
eISBN:
9780191863288
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198824442.003.0004
Subject:
Physics, Crystallography, Condensed Matter Physics / Materials

This chapter discusses the X-ray and neutron diffraction methods used to study the atomic structures of aperiodic crystals, addressing indexing diffraction patterns, superspace, ab initio methods, ... More


Noether’s Theorem for Fields

Peter Mann

in Lagrangian and Hamiltonian Dynamics

Published in print:
2018
Published Online:
August 2018
ISBN:
9780198822370
eISBN:
9780191861253
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198822370.003.0028
Subject:
Physics, Theoretical, Computational, and Statistical Physics

This is a unique chapter that discusses classical path integrals in both configuration space and phase space. It examines both Lagrangian and Hamiltonian formulations before qualitatively discussing ... More


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