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Electron-Phonon Interactions in Low-Dimensional Structures

Lawrence Challis (ed.)

Published in print:
2003
Published Online:
January 2010
ISBN:
9780198507321
eISBN:
9780191709319
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198507321.001.0001
Subject:
Physics, Atomic, Laser, and Optical Physics

The study of electrons and holes confined to two, one, and even zero dimensions has uncovered a rich variety of new physics and applications. This book describes the interaction between these ... More


Introduction

L.J. Challis

in Electron-Phonon Interactions in Low-Dimensional Structures

Published in print:
2003
Published Online:
January 2010
ISBN:
9780198507321
eISBN:
9780191709319
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198507321.003.0001
Subject:
Physics, Atomic, Laser, and Optical Physics

While the physics of low-dimensional structures mainly involves their electronic properties, an understanding of the interaction between the electrons and holes and the phonons present within and ... More


Two-Dimensional Granular Gases

Nikolai V. Brilliantov and Thorsten Pöschel

in Kinetic Theory of Granular Gases

Published in print:
2004
Published Online:
January 2010
ISBN:
9780198530381
eISBN:
9780191713057
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198530381.003.0011
Subject:
Physics, Condensed Matter Physics / Materials

Under certain experimental conditions, granular gases behave as if they are effectively two-dimensional. Computer simulations are often performed for two-dimensional systems due to the limitations of ... More


Two-Dimensional Granular Gases

Nikolai V. Brilliantov and Thorsten Pöschel

in Kinetic Theory of Granular Gases

Published in print:
2004
Published Online:
January 2010
ISBN:
9780198530381
eISBN:
9780191713057
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198530381.003.0028
Subject:
Physics, Condensed Matter Physics / Materials

This chapter presents hydrodynamic equations for two-dimensional granular gases.


Simple Shapes: Vision and Concepts

Marcus Giaquinto

in Visual Thinking in Mathematics

Published in print:
2007
Published Online:
September 2007
ISBN:
9780199285945
eISBN:
9780191713811
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199285945.003.0002
Subject:
Philosophy, Logic/Philosophy of Mathematics

This chapter focuses on the cognitive resources needed for basic geometry. It argues that the initial geometrical concepts of basic shapes depend on the way we perceive those shapes. In having ... More


INTRODUCTION

Terry Lyons and Zhongmin Qian

in System Control and Rough Paths

Published in print:
2002
Published Online:
September 2007
ISBN:
9780198506485
eISBN:
9780191709395
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198506485.003.0001
Subject:
Mathematics, Probability / Statistics

The concept of a differential equation controlled by a rough path can be motivated by quite simple examples. One such example is a linear system driven by two-dimensional noise. This example is ... More


NON-CONFORMING ELEMENTS

George Em Karniadakis and Spencer J. Sherwin

in Spectral/hp Element Methods for Computational Fluid Dynamics

Published in print:
2005
Published Online:
September 2007
ISBN:
9780198528692
eISBN:
9780191713491
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198528692.003.0007
Subject:
Mathematics, Numerical Analysis

This chapter discusses the topic of non-conforming elements for second-order operators. It includes a comprehensive presentation of the discontinuous Galerkin method with a comparison of different ... More


Asymptotic Fr echet ´Differentiability

Joram Lindenstrauss, David Preiss, and Tiˇser Jaroslav

in Fréchet Differentiability of Lipschitz Functions and Porous Sets in Banach Spaces (AM-179)

Published in print:
2012
Published Online:
October 2017
ISBN:
9780691153551
eISBN:
9781400842698
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691153551.003.0015
Subject:
Mathematics, Analysis

This chapter presents the current development of the first, unpublished proof of existence of points Fréchet differentiability of Lipschitz mappings to two-dimensional spaces. For functions into ... More


Differentiability of Lipschitz Maps on Hilbert Spaces

Joram Lindenstrauss, David Preiss, and Tiˇser Jaroslav

in Fréchet Differentiability of Lipschitz Functions and Porous Sets in Banach Spaces (AM-179)

Published in print:
2012
Published Online:
October 2017
ISBN:
9780691153551
eISBN:
9781400842698
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691153551.003.0016
Subject:
Mathematics, Analysis

This chapter presents a separate, essentially self-contained, nonvariational proof of existence of points of Fréchet differentiability of R²-valued Lipschitz maps on Hilbert spaces. It begins with ... More


Polaritons: Excitonic States Taking Account of Retardation

Vladimir M. Agranovich

in Excitations in Organic Solids

Published in print:
2008
Published Online:
January 2009
ISBN:
9780199234417
eISBN:
9780191715426
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199234417.003.0004
Subject:
Physics, Atomic, Laser, and Optical Physics

This chapter presents the microscopical theory of polaritons, being coherent superposition of one exciton and one transverse photon state. The dispersion of polaritons including the effect of spatial ... More


SYSTEMS OF ODEs: MANY-BODY PROBLEMS, NONLINEAR HARMONIC OSCILLATORS

Francesco Calogero

in Isochronous Systems

Published in print:
2008
Published Online:
May 2008
ISBN:
9780199535286
eISBN:
9780191715853
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199535286.003.0004
Subject:
Physics, Theoretical, Computational, and Statistical Physics

In Chapter 4—the longer one in this book—a lemma is first introduced and several isochronous systems of ODEs encompassed by it are treated. One-, two-, three- and multi-dimensional isochronous ... More


Margins for Error in Context

Denis Bonnay and Paul Egré

in Relative Truth

Published in print:
2008
Published Online:
May 2010
ISBN:
9780199234950
eISBN:
9780191715846
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199234950.003.0005
Subject:
Philosophy, Metaphysics/Epistemology, Philosophy of Language

Williamson's margin for error semantics for knowledge implies that knowledge cannot systematically imply knowledge of one's knowledge. Each new iteration of knowledge requires what is known to remain ... More


COMPOSITE FERMIONS AND THE FRACTIONAL QUANTUM HALL EFFECT IN A TWO-DIMENSIONAL ELECTRON SYSTEM

I. V. Kukushkin, J. H. Smet, and K. von Klitzing

in Problems of Condensed Matter Physics: Quantum coherence phenomena in electron-hole and coupled matter-light systems

Published in print:
2007
Published Online:
May 2008
ISBN:
9780199238873
eISBN:
9780191716652
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199238873.003.0008
Subject:
Physics, Condensed Matter Physics / Materials

This chapter analyzes the fractional quantum Hall effect and composite fermions in a two-dimensional electron system. The underlying picture of a composite fermion, a quasi-particle consisting of one ... More


DETECTORS FOR SYNCHROTRON TOMOGRAPHY

Heinz Graafsma and Thierry Martin

in Advanced Tomographic Methods in Materials Research and Engineering

Published in print:
2008
Published Online:
May 2008
ISBN:
9780199213245
eISBN:
9780191707582
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199213245.003.0010
Subject:
Physics, Condensed Matter Physics / Materials

Efforts are underway to optimize two-dimensional X-ray detectors, which have become a standard at synchrotron sources for practically all applications including tomography. Area detectors can be ... More


Appendices

S. D. Ganichev and W. Prettl

in Intense Terahertz Excitation of Semiconductors

Published in print:
2005
Published Online:
September 2007
ISBN:
9780198528302
eISBN:
9780191713637
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198528302.003.0010
Subject:
Physics, Condensed Matter Physics / Materials

This appendix presents the spin splitting in the band structure of two-dimensional semiconductor systems, which is important for terahertz radiation driven spin-photocurrents. Rashba and Dresselhaus ... More


An Externalist’s Guide to Inner Experience

Benj Hellie

in Perceiving the World

Published in print:
2010
Published Online:
January 2011
ISBN:
9780195386196
eISBN:
9780199866748
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195386196.003.0006
Subject:
Philosophy, General

How is the direct realist’s relational consciousness related to phenomenality? I develop a notion of reflective indiscriminability intended to answer to sameness of phenomenal character. Then suppose ... More


Singular Thought: In Defence of Acquaintance *

François Recanati

in New Essays on Singular Thought

Published in print:
2010
Published Online:
September 2010
ISBN:
9780199567881
eISBN:
9780191722783
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199567881.003.0006
Subject:
Philosophy, Philosophy of Mind, Philosophy of Language

This chapter argues that singular thought about an object involves nondescriptive or de re ways of thinking of that object, that is, modes of presentation resting on contextual relations of ... More


INELASTIC LIGHT SCATTERING BY LOW-LYING EXCITATIONS OF QUANTUM HALL FLUIDS

Vittorio Pellegrini and Aron Pinczuk

in Problems of Condensed Matter Physics: Quantum coherence phenomena in electron-hole and coupled matter-light systems

Published in print:
2007
Published Online:
May 2008
ISBN:
9780199238873
eISBN:
9780191716652
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199238873.003.0012
Subject:
Physics, Condensed Matter Physics / Materials

This chapter reviews inelastic light scattering by low-lying excitations of two-dimensional quantum Hall fluids in semiconductor nanostructures at very low temperatures and large magnetic fields. It ... More


The Two-Dimensional Argument against Materialism

David J. Chalmers

in The Character of Consciousness

Published in print:
2010
Published Online:
January 2011
ISBN:
9780195311105
eISBN:
9780199870851
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195311105.003.0006
Subject:
Philosophy, Philosophy of Mind

This chapter is mainly devoted to the conceivability argument against materialism, viewed through the lens of the two-dimensional semantic framework. The key issue is whether conceivability entails ... More


CHARACTERS AND CONTINGENCY

Gregory Currie

in Arts and Minds

Published in print:
2004
Published Online:
January 2005
ISBN:
9780199256280
eISBN:
9780191601712
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0199256284.003.0003
Subject:
Philosophy, Aesthetics

While wemight not have done many of the things we did do, Anna Karenina could not, surely, have been other than a lover of Vronsky. Not so: while it is true that ‘Necessarily, someone who was not a ... More


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