*Laszlo Solymar, Donald Walsh, and Richard R. A. Syms*

- Published in print:
- 2018
- Published Online:
- October 2018
- ISBN:
- 9780198829942
- eISBN:
- 9780191868504
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780198829942.001.0001
- Subject:
- Physics, Condensed Matter Physics / Materials, Atomic, Laser, and Optical Physics

A classic text in the field providing a readable and accessible guide for students of electrical and electronic engineering. Fundamentals of electric properties of materials are illustrated and put ...
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A classic text in the field providing a readable and accessible guide for students of electrical and electronic engineering. Fundamentals of electric properties of materials are illustrated and put into context with contemporary applications in engineering. Mathematical content is kept to a minimum allowing the reader to focus on the subject. The starting point is the behaviour of the electron, which is explored both in the classical and in the quantum-mechanical context. Then comes the study of bonds, the free electron model, band structure, and the theory of semiconductors, followed by a chapter on semiconductor devices. Further chapters are concerned with the fundamentals of dielectrics, magnetic materials, lasers, optoelectronics, and superconductivity. The last chapter is on metamaterials, which has been a quite popular subject in the past decade. The book includes problems, the worked solutions are available in a separate publication: Solutions manual for electrical properties of materials. There is an appendix giving a list of Nobel Prize winners whose work was crucial for describing the electric properties of materials, and there are further appendices giving descriptions of phenomena which did not fit easily within the main text. In particular there is a quite detailed appendix that summarizes the properties of memory elements. The book is ideal for undergraduates, and is also an invaluable reference for graduate students and others wishing to explore this rapidly changing field.Less

A classic text in the field providing a readable and accessible guide for students of electrical and electronic engineering. Fundamentals of electric properties of materials are illustrated and put into context with contemporary applications in engineering. Mathematical content is kept to a minimum allowing the reader to focus on the subject. The starting point is the behaviour of the electron, which is explored both in the classical and in the quantum-mechanical context. Then comes the study of bonds, the free electron model, band structure, and the theory of semiconductors, followed by a chapter on semiconductor devices. Further chapters are concerned with the fundamentals of dielectrics, magnetic materials, lasers, optoelectronics, and superconductivity. The last chapter is on metamaterials, which has been a quite popular subject in the past decade. The book includes problems, the worked solutions are available in a separate publication: Solutions manual for electrical properties of materials. There is an appendix giving a list of Nobel Prize winners whose work was crucial for describing the electric properties of materials, and there are further appendices giving descriptions of phenomena which did not fit easily within the main text. In particular there is a quite detailed appendix that summarizes the properties of memory elements. The book is ideal for undergraduates, and is also an invaluable reference for graduate students and others wishing to explore this rapidly changing field.

*M. M. Glazov*

- Published in print:
- 2018
- Published Online:
- October 2018
- ISBN:
- 9780198807308
- eISBN:
- 9780191845093
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780198807308.001.0001
- Subject:
- Physics, Condensed Matter Physics / Materials

In recent years, the physics community has experienced a revival of interest in spin effects in solid state systems. On one hand, solid state systems, particularly semicon- ductors and semiconductor ...
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In recent years, the physics community has experienced a revival of interest in spin effects in solid state systems. On one hand, solid state systems, particularly semicon- ductors and semiconductor nanosystems, allow one to perform benchtop studies of quantum and relativistic phenomena. On the other hand, interest is supported by the prospects of realizing spin-based electronics where the electron or nuclear spins can play a role of quantum or classical information carriers. This book aims at rather detailed presentation of multifaceted physics of interacting electron and nuclear spins in semiconductors and, particularly, in semiconductor-based low-dimensional structures. The hyperfine interaction of the charge carrier and nuclear spins increases in nanosystems compared with bulk materials due to localization of electrons and holes and results in the spin exchange between these two systems. It gives rise to beautiful and complex physics occurring in the manybody and nonlinear system of electrons and nuclei in semiconductor nanosystems. As a result, an understanding of the intertwined spin systems of electrons and nuclei is crucial for in-depth studying and control of spin phenomena in semiconductors. The book addresses a number of the most prominent effects taking place in semiconductor nanosystems including hyperfine interaction, nuclear magnetic resonance, dynamical nuclear polarization, spin-Faraday and -Kerr effects, processes of electron spin decoherence and relaxation, effects of electron spin precession mode-locking and frequency focusing, as well as fluctuations of electron and nuclear spins.Less

In recent years, the physics community has experienced a revival of interest in spin effects in solid state systems. On one hand, solid state systems, particularly semicon- ductors and semiconductor nanosystems, allow one to perform benchtop studies of quantum and relativistic phenomena. On the other hand, interest is supported by the prospects of realizing spin-based electronics where the electron or nuclear spins can play a role of quantum or classical information carriers. This book aims at rather detailed presentation of multifaceted physics of interacting electron and nuclear spins in semiconductors and, particularly, in semiconductor-based low-dimensional structures. The hyperfine interaction of the charge carrier and nuclear spins increases in nanosystems compared with bulk materials due to localization of electrons and holes and results in the spin exchange between these two systems. It gives rise to beautiful and complex physics occurring in the manybody and nonlinear system of electrons and nuclei in semiconductor nanosystems. As a result, an understanding of the intertwined spin systems of electrons and nuclei is crucial for in-depth studying and control of spin phenomena in semiconductors. The book addresses a number of the most prominent effects taking place in semiconductor nanosystems including hyperfine interaction, nuclear magnetic resonance, dynamical nuclear polarization, spin-Faraday and -Kerr effects, processes of electron spin decoherence and relaxation, effects of electron spin precession mode-locking and frequency focusing, as well as fluctuations of electron and nuclear spins.

*S. G. Rajeev*

- Published in print:
- 2018
- Published Online:
- October 2018
- ISBN:
- 9780198805021
- eISBN:
- 9780191843136
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780198805021.001.0001
- Subject:
- Physics, Soft Matter / Biological Physics, Condensed Matter Physics / Materials

Starting with a review of vector fields and their integral curves, the book presents the basic equations of the subject: Euler and Navier–Stokes. Some solutions are studied next: ideal flows using ...
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Starting with a review of vector fields and their integral curves, the book presents the basic equations of the subject: Euler and Navier–Stokes. Some solutions are studied next: ideal flows using conformal transformations, viscous flows such as Couette and Stokes flow around a sphere, shocks in the Burgers equation. Prandtl’s boundary layer theory and the Blasius solution are presented. Rayleigh–Taylor instability is studied in analogy with the inverted pendulum, with a digression on Kapitza’s stabilization. The possibility of transients in a linearly stable system with a non-normal operator is studied using an example by Trefethen et al. The integrable models (KdV, Hasimoto’s vortex soliton) and their hamiltonian formalism are studied. Delving into deeper mathematics, geodesics on Lie groups are studied: first using the Lie algebra and then using Milnor’s approach to the curvature of the Lie group. Arnold’s deep idea that Euler’s equations are the geodesic equations on the diffeomorphism group is then explained and its curvature calculated. The next three chapters are an introduction to numerical methods: spectral methods based on Chebychev functions for ODEs, their application by Orszag to solve the Orr–Sommerfeld equation, finite difference methods for elementary PDEs, the Magnus formula and its application to geometric integrators for ODEs. Two appendices give an introduction to dynamical systems: Arnold’s cat map, homoclinic points, Smale’s horse shoe, Hausdorff dimension of the invariant set, Aref ’s example of chaotic advection. The last appendix introduces renormalization: Ising model on a Cayley tree and Feigenbaum’s theory of period doubling.Less

Starting with a review of vector fields and their integral curves, the book presents the basic equations of the subject: Euler and Navier–Stokes. Some solutions are studied next: ideal flows using conformal transformations, viscous flows such as Couette and Stokes flow around a sphere, shocks in the Burgers equation. Prandtl’s boundary layer theory and the Blasius solution are presented. Rayleigh–Taylor instability is studied in analogy with the inverted pendulum, with a digression on Kapitza’s stabilization. The possibility of transients in a linearly stable system with a non-normal operator is studied using an example by Trefethen et al. The integrable models (KdV, Hasimoto’s vortex soliton) and their hamiltonian formalism are studied. Delving into deeper mathematics, geodesics on Lie groups are studied: first using the Lie algebra and then using Milnor’s approach to the curvature of the Lie group. Arnold’s deep idea that Euler’s equations are the geodesic equations on the diffeomorphism group is then explained and its curvature calculated. The next three chapters are an introduction to numerical methods: spectral methods based on Chebychev functions for ODEs, their application by Orszag to solve the Orr–Sommerfeld equation, finite difference methods for elementary PDEs, the Magnus formula and its application to geometric integrators for ODEs. Two appendices give an introduction to dynamical systems: Arnold’s cat map, homoclinic points, Smale’s horse shoe, Hausdorff dimension of the invariant set, Aref ’s example of chaotic advection. The last appendix introduces renormalization: Ising model on a Cayley tree and Feigenbaum’s theory of period doubling.

*J. Pierrus*

- Published in print:
- 2018
- Published Online:
- October 2018
- ISBN:
- 9780198821915
- eISBN:
- 9780191861055
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780198821915.001.0001
- Subject:
- Physics, Condensed Matter Physics / Materials

Apart from an introductory chapter which focuses mainly on some important mathematical concepts and analytical techniques, this book consists entirely of questions and solutions on topics in ...
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Apart from an introductory chapter which focuses mainly on some important mathematical concepts and analytical techniques, this book consists entirely of questions and solutions on topics in classical electromagnetism. The questions are divided into three categories according to their ‘level of difficulty’, and the book should appeal to students who are at different stages in their respective degrees. A wide range of topics are treated which include: the basic experimental laws of electricity and magnetism, Maxwell’s equations, electric and magnetic fields in vacuum and in matter, electromagnetic waves with applications to waveguides and antennas, the electromagnetic potentials, multipole expansions and multipole moments, gauge transformations, electric circuits, electromagnetic radiation, the electromagnetic field tensor and covariance. The solutions are usually followed by a set of comments intended to stimulate inductive reasoning and provide additional information of interest (including points of historical significance). Both analytical and numerical techniques are used to obtain and analyse solutions. The computer calculations use Mathematica (version 10), and the relevant code is given in the text. The book will be useful to students and lecturers in undergraduate and graduate-level courses on classical electromagnetism and in computational physics.Less

Apart from an introductory chapter which focuses mainly on some important mathematical concepts and analytical techniques, this book consists entirely of questions and solutions on topics in classical electromagnetism. The questions are divided into three categories according to their ‘level of difficulty’, and the book should appeal to students who are at different stages in their respective degrees. A wide range of topics are treated which include: the basic experimental laws of electricity and magnetism, Maxwell’s equations, electric and magnetic fields in vacuum and in matter, electromagnetic waves with applications to waveguides and antennas, the electromagnetic potentials, multipole expansions and multipole moments, gauge transformations, electric circuits, electromagnetic radiation, the electromagnetic field tensor and covariance. The solutions are usually followed by a set of comments intended to stimulate inductive reasoning and provide additional information of interest (including points of historical significance). Both analytical and numerical techniques are used to obtain and analyse solutions. The computer calculations use *Mathematica* (version 10), and the relevant code is given in the text. The book will be useful to students and lecturers in undergraduate and graduate-level courses on classical electromagnetism and in computational physics.