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Relativistic gases

Stephen J. Blundell and Katherine M. Blundell

in Concepts in Thermal Physics

Published in print:
2009
Published Online:
January 2010
ISBN:
9780199562091
eISBN:
9780191718236
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199562091.003.0025
Subject:
Physics, Particle Physics / Astrophysics / Cosmology

This chapter repeats the derivation of the partition function for a gas, and hence of the other thermodynamic properties that can be obtained from it, but this time includes relativistic effects. It ... More


Sound waves

Stephen J. Blundell and Katherine M. Blundell

in Concepts in Thermal Physics

Published in print:
2009
Published Online:
January 2010
ISBN:
9780199562091
eISBN:
9780191718236
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199562091.003.0031
Subject:
Physics, Particle Physics / Astrophysics / Cosmology

This chapter describes sound waves and shows that these are adiabatic. It derives an expression for the speed of sound in a fluid.


Nuclear thermostatics

Helmut Hofmann

in The Physics of Warm Nuclei: with Analogies to Mesoscopic Systems

Published in print:
2008
Published Online:
September 2008
ISBN:
9780198504016
eISBN:
9780191708480
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198504016.003.0022
Subject:
Physics, Nuclear and Plasma Physics

This chapter presents the basic elements of statistical mechanics, and derives differential laws of thermostatics of deformed nuclei. Adiabatic and isothermal susceptibilities are introduced. Density ... More


ELECTRON-PHONON INTERACTION

J. M. Ziman

in Electrons and Phonons: The Theory of Transport Phenomena in Solids

Published in print:
2001
Published Online:
September 2007
ISBN:
9780198507796
eISBN:
9780191709937
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198507796.003.0005
Subject:
Physics, Condensed Matter Physics / Materials

This chapter examines the interaction between an electron, conceived to be in a particular state described by a wave function, and a lattice vibration, described by a phonon eigenstate. Topics ... More


TUNNELLING IN A TIME-DEPEDENT MAGNETIC FIELD AT LOW TEMPERATURE

Dante Gatteschi, Roberta Sessoli, and Jacques Villain

in Molecular Nanomagnets

Published in print:
2006
Published Online:
September 2007
ISBN:
9780198567530
eISBN:
9780191718298
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198567530.003.0008
Subject:
Physics, Condensed Matter Physics / Materials

This chapter examines the effects of time dependent magnetic fields at low temperature. The advantages of using a time dependent magnetic field to investigate the dynamics of the magnetization are ... More


CRYSTAL LATTICES. GENERAL THEORY

R. E. Peierls

in Quantum Theory of Solids

Published in print:
2001
Published Online:
September 2007
ISBN:
9780198507819
eISBN:
9780191709913
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198507819.003.0001
Subject:
Physics, Condensed Matter Physics / Materials

This chapter presents a general theory of crystal lattices. Topics covered include adiabatic approximation, equilibrium, types of binding, atomic vibrations, properties of normal vibrations, elastic ... More


LATTICE DYNAMICS

A.M. Stoneham

in Theory of Defects in Solids: Electronic Structure of Defects in Insulators and Semiconductors

Published in print:
2001
Published Online:
September 2007
ISBN:
9780198507802
eISBN:
9780191709920
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198507802.003.0003
Subject:
Physics, Condensed Matter Physics / Materials

This chapter examines the key approximations in crystal lattice dynamics in a way that is particularly helpful for defect studies. It discusses the Born-Oppenheimer approximation, the adiabatic ... More


Isothermal and adiabatic processes

Stephen J. Blundell and Katherine M. Blundell

in Concepts in Thermal Physics

Published in print:
2009
Published Online:
January 2010
ISBN:
9780199562091
eISBN:
9780191718236
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199562091.003.0012
Subject:
Physics, Particle Physics / Astrophysics / Cosmology

This chapter applies the results of the previous chapter to illustrate some properties concerning isothermal and adiabatic expansions of gases. These results will assume that the expansions are ... More


Acceleration and longitudinal motion

J. B. Rosenzweig

in Fundamentals of Beam Physics

Published in print:
2003
Published Online:
January 2010
ISBN:
9780198525547
eISBN:
9780191711725
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198525547.003.0004
Subject:
Physics, Atomic, Laser, and Optical Physics

This chapter explains that the acceleration of charged particles based on their interaction with a single travelling electromagnetic wave serves as a powerful model problem for developing an ... More


Ballistic electron transport in quantum point contacts

Thomas Ihn

in Semiconductor Nanostructures: Quantum states and electronic transport

Published in print:
2009
Published Online:
February 2010
ISBN:
9780199534425
eISBN:
9780191715297
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199534425.003.0011
Subject:
Physics, Condensed Matter Physics / Materials

This chapter contrasts the results of Chapter 10 with the theory of ballistic transport through quantum point contacts. It discusses the experimental observation of conductance quantization based on ... More


Bimolecular reactions, dynamics of collisions

Niels E. Henriksen and Flemming Y. Hansen

in Theories of Molecular Reaction Dynamics: The Microscopic Foundation of Chemical Kinetics

Published in print:
2008
Published Online:
January 2010
ISBN:
9780199203864
eISBN:
9780191708251
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199203864.003.0004
Subject:
Physics, Condensed Matter Physics / Materials

This chapter discusses the dynamics of bimolecular collisions within the framework of (quasi-)classical mechanics as well as quantum mechanics. The relation between the cross-section and the reaction ... More


Cyclic coordinates

JESPER LÜTZEN

in Mechanistic Images in Geometric Form: Heinrich Hertz's 'Principles of Mechanics'

Published in print:
2005
Published Online:
January 2010
ISBN:
9780198567370
eISBN:
9780191717925
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198567370.003.0018
Subject:
Physics, History of Physics

In Heinrich Hertz's account of conservative systems, the concept of a cyclic coordinate, and, in particular, what he called an adiabatic cyclical system, enters as an important technical tool. This ... More


Cyclic and conservative systems

JESPER LÜTZEN

in Mechanistic Images in Geometric Form: Heinrich Hertz's 'Principles of Mechanics'

Published in print:
2005
Published Online:
January 2010
ISBN:
9780198567370
eISBN:
9780191717925
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198567370.003.0020
Subject:
Physics, History of Physics

The most interesting example of a system acted on by forces is the so-called conservative system in which a force function exists. This is a system consisting of a visible system coupled to a special ... More


On transport in quantum devices

Gian Michele Graf

in Quantum Theory from Small to Large Scales: Lecture Notes of the Les Houches Summer School: Volume 95, August 2010

Published in print:
2012
Published Online:
September 2012
ISBN:
9780199652495
eISBN:
9780191741203
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199652495.003.0011
Subject:
Physics, Atomic, Laser, and Optical Physics

This chapter is intended as a guide to the literature complementing the lectures presented by the author of this chapter. Two main topics are discussed: quantum pumps and transport statistics.


Time-dependent Hamiltonian

Efstratios Manousakis

in Practical Quantum Mechanics: Modern Tools and Applications

Published in print:
2015
Published Online:
December 2015
ISBN:
9780198749349
eISBN:
9780191813474
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198749349.003.0022
Subject:
Physics, Atomic, Laser, and Optical Physics

This chapter discusses how to treat the case of a perturbation which depends on time. It also discusses the case of the so-called real-time evolution and the adiabatic process which has received more ... More


Constructing Quantum Mechanics: Volume 1: The Scaffold: 1900-1923

Anthony Duncan and Michel Janssen

Published in print:
2019
Published Online:
October 2019
ISBN:
9780198845478
eISBN:
9780191880681
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198845478.001.0001
Subject:
Physics, History of Physics, Theoretical, Computational, and Statistical Physics

This is the first of two volumes on the genesis of quantum mechanics. It covers the key developments in the period 1900–1923 that provided the scaffold on which the arch of modern quantum mechanics ... More


Exploring Classical Mechanics: A Collection of 350+ Solved Problems for Students, Lecturers, and Researchers - Second Revised and Enlarged English Edition

G. L. Kotkin and V. G. Serbo

Published in print:
2020
Published Online:
October 2020
ISBN:
9780198853787
eISBN:
9780191888236
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198853787.001.0001
Subject:
Physics, Condensed Matter Physics / Materials

This book was written by the working physicists for students and teachers of physics faculties of universities. Its contents correspond roughly to the corresponding course in the textbooks Mechanics ... More


Guiding Principles

Anthony Duncan and Michel Janssen

in Constructing Quantum Mechanics: Volume 1: The Scaffold: 1900-1923

Published in print:
2019
Published Online:
October 2019
ISBN:
9780198845478
eISBN:
9780191880681
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198845478.003.0005
Subject:
Physics, History of Physics, Theoretical, Computational, and Statistical Physics

The development of the complex of assumptions and methods now referred to as the “old quantum theory” mainly took place in the first five years following the introduction of the Bohr atomic model in ... More


Stress

Adrian P. Sutton

in Physics of Elasticity and Crystal Defects

Published in print:
2020
Published Online:
August 2020
ISBN:
9780198860785
eISBN:
9780191893001
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198860785.003.0002
Subject:
Physics, Condensed Matter Physics / Materials, Crystallography: Physics

The concept of stress is introduced in terms of interatomic forces acting through a plane, and in the Cauchy sense of a force per unit area on a plane in a continuum. Normal stresses and shear ... More


Hooke’s law and elastic constants

Adrian P. Sutton

in Physics of Elasticity and Crystal Defects

Published in print:
2020
Published Online:
August 2020
ISBN:
9780198860785
eISBN:
9780191893001
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198860785.003.0003
Subject:
Physics, Condensed Matter Physics / Materials, Crystallography: Physics

Hooke’s law and elastic constants are introduced. The symmetry of the elastic constant tensor follows from the symmetry of stress and strain tensors and the elastic energy density. The maximum number ... More


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