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Quantum Transport in Mesoscopic Systems: Complexity and Statistical Fluctuations. A Maximum Entropy Viewpoint

Pier A. Mello and Narendra Kumar

Published in print:
2004
Published Online:
September 2007
ISBN:
9780198525820
eISBN:
9780191712234
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198525820.001.0001
Subject:
Physics, Condensed Matter Physics / Materials

This book presents a statistical theory of complex wave scattering and quantum transport in a class of physical systems of current interest having chaotic classical dynamics (e.g., microwave cavities ... More


Polarised electromagnetic waves

S. R Cloude

in Polarisation: Applications in Remote Sensing

Published in print:
2009
Published Online:
February 2010
ISBN:
9780199569731
eISBN:
9780191721908
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199569731.003.0001
Subject:
Physics, Particle Physics / Astrophysics / Cosmology, Geophysics, Atmospheric and Environmental Physics

This chapter considers a basic description of the generation, propagation and scattering of polarised electromagnetic waves. It assumes a starting familiarity with the basic form of Maxwell's ... More


INTRODUCTION TO THE QUANTUM MECHANICAL TIME-INDEPENDENT SCATTERING THEORY I: ONE-DIMENSIONAL SCATTERING

Pier A. Mello and Narendra Kumar

in Quantum Transport in Mesoscopic Systems: Complexity and Statistical Fluctuations. A Maximum Entropy Viewpoint

Published in print:
2004
Published Online:
September 2007
ISBN:
9780198525820
eISBN:
9780191712234
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198525820.003.0002
Subject:
Physics, Condensed Matter Physics / Materials

This chapter is devoted to basic potential scattering theory, focusing on the case of a one-dimensional conductor and an open cavity with a one-channel lead connected to it. The contents of this ... More


INTRODUCTION TO THE QUANTUM MECHANICAL TIME-INDEPENDENT SCATTERING THEORY II: SCATTERING INSIDE WAVEGUIDES AND CAVITIES

Pier A. Mello and Narendra Kumar

in Quantum Transport in Mesoscopic Systems: Complexity and Statistical Fluctuations. A Maximum Entropy Viewpoint

Published in print:
2004
Published Online:
September 2007
ISBN:
9780198525820
eISBN:
9780191712234
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198525820.003.0003
Subject:
Physics, Condensed Matter Physics / Materials

This chapter extends the potential scattering theory developed in Chapter 2 to a relatively advanced level with emphasis on quasi-one-dimensional (multi-channel) systems, the associated scattering ... More


Linear optical devices

J. C. Garrison and R. Y. Chiao

in Quantum Optics

Published in print:
2008
Published Online:
September 2008
ISBN:
9780198508861
eISBN:
9780191708640
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198508861.003.0009
Subject:
Physics, Atomic, Laser, and Optical Physics

This chapter shows that the interaction of photons with a passive, linear device can be described by the scattering matrix of classical optics. Combining this with the paraxial approximation leads to ... More


ELECTRONIC TRANSPORT THROUGH OPEN CHAOTIC CAVITIES

Pier A. Mello and Narendra Kumar

in Quantum Transport in Mesoscopic Systems: Complexity and Statistical Fluctuations. A Maximum Entropy Viewpoint

Published in print:
2004
Published Online:
September 2007
ISBN:
9780198525820
eISBN:
9780191712234
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198525820.003.0006
Subject:
Physics, Condensed Matter Physics / Materials

This chapter focuses on scattering from classically chaotic cavities. A maximum-entropy approach is employed to derive the probability distribution for the S matrix, with and without the presence of ... More


QUANTUM EVOLUTION AND SCATTERING MATRIX

Jean Zinn-Justin

in Path Integrals in Quantum Mechanics

Published in print:
2004
Published Online:
January 2010
ISBN:
9780198566748
eISBN:
9780191717994
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198566748.003.0009
Subject:
Physics, Particle Physics / Astrophysics / Cosmology, Theoretical, Computational, and Statistical Physics

This chapter shows how scattering problems are formulated in the framework of path integrals. In quantum mechanics, the state of an isolated system evolves under the action of a unitary operator, as ... More


HIGH-RESOLUTION IMAGES OF CRYSTALS AND THEIR DEFECTS

JOHN C. H. SPENCE

in High-Resolution Electron Microscopy

Published in print:
2008
Published Online:
January 2010
ISBN:
9780199552757
eISBN:
9780191708664
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199552757.003.0005
Subject:
Physics, Atomic, Laser, and Optical Physics

This chapter introduces many-beam high-resolution imaging by first analysing in detail the case of two or three beams, and showing how aberrations may be arranged to cancel by using off-axis ... More


Systems with Condensates and Pairing

Klaus Morawetz

in Interacting Systems far from Equilibrium: Quantum Kinetic Theory

Published in print:
2017
Published Online:
February 2018
ISBN:
9780198797241
eISBN:
9780191838743
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198797241.003.0012
Subject:
Physics, Condensed Matter Physics / Materials

The Bose–Einstein condensation and appearance of superfluidity and superconductivity are introduced from basic phenomena. A systematic theory based on the asymmetric expansion of chapter 11 is shown ... More


Functional Integrals and Quantum Mechanics: Formal Developments

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/9780198788393.003.0009
Subject:
Physics, Particle Physics / Astrophysics / Cosmology, Theoretical, Computational, and Statistical Physics

Time-ordered products and connection with the path integral. Applications in quantum mechanical problems. T-products and the scattering matrix. The perturbation expansion. The scalar field.


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