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3 Generation of GWs in linearized theory

Michele Maggiore

in Gravitational Waves: Volume 1: Theory and Experiments

Published in print:
2007
Published Online:
January 2008
ISBN:
9780198570745
eISBN:
9780191717666
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198570745.003.0003
Subject:
Physics, Particle Physics / Astrophysics / Cosmology

This chapter presents the theory of generation of GWs in linearized theory. It is assumed that the gravitational field generated by the source is sufficiently weak, so that an expansion around flat ... More


NUCLEAR ELECTRIC QUADRUPOLE MOMENTS

Norman F. Ramsey

in Molecular Beams

Published in print:
1986
Published Online:
September 2007
ISBN:
9780198520214
eISBN:
9780191706325
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198520214.003.0011
Subject:
Physics, Atomic, Laser, and Optical Physics

The magnitude of a nuclear electric quadrupole moment is given by Q=(3z2-r2)Av where the average is taken over the nuclear charges when MI=I. Nuclear quadrupole moments are detected in molecular beam ... More


NUCLEAR AND ROTATIONAL MAGNETIC MOMENTS

Norman F. Ramsey

in Molecular Beams

Published in print:
1986
Published Online:
September 2007
ISBN:
9780198520214
eISBN:
9780191706325
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198520214.003.0006
Subject:
Physics, Atomic, Laser, and Optical Physics

In magnetic resonance experiments, either rotating or oscillating fields can be used and it is frequently convenient to analyze a problem in terms of a rotating coordinate system. The transitional ... More


NUCLEAR AND MOLECULAR INTERACTIONS IN FREE MOLECULES

Norman F. Ramsey

in Molecular Beams

Published in print:
1986
Published Online:
September 2007
ISBN:
9780198520214
eISBN:
9780191706325
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198520214.003.0008
Subject:
Physics, Atomic, Laser, and Optical Physics

This chapter discusses the interactions of different components with each other. The magnetic moment of one nucleus in a molecule can interact directly with the magnetic field from another nucleus in ... More


APPLICATIONS OF THE GAUGE AND FARADAY TRANSFORMATIONS

R. E. Raab and O. L. de Lange

in Multipole Theory in Electromagnetism: Classical, quantum, and symmetry aspects, with applications

Published in print:
2004
Published Online:
September 2007
ISBN:
9780198567271
eISBN:
9780191717970
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198567271.003.0008
Subject:
Physics, Atomic, Laser, and Optical Physics

The transformation theory of the previous chapter is applied to the first two orders of multipole theory (electric dipole and electric quadrupole-magnetic dipole orders) for both non-magnetic and ... More


The hyperfine structure of atoms and its investigation by magnetic resonance methods

Alan Corney

in Atomic and Laser Spectroscopy

Published in print:
2006
Published Online:
September 2007
ISBN:
9780199211456
eISBN:
9780191705915
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199211456.003.0018
Subject:
Physics, Atomic, Laser, and Optical Physics

This chapter develops the theory of the hyperfine structure of atoms involving nuclear magnetic dipole and electric quadrupole moments. The Zeeman effect in weak, intermediate, and strong magnetic ... More


Forbidden transitions and metastable atoms

Alan Corney

in Atomic and Laser Spectroscopy

Published in print:
2006
Published Online:
September 2007
ISBN:
9780199211456
eISBN:
9780191705915
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199211456.003.0007
Subject:
Physics, Atomic, Laser, and Optical Physics

This chapter derives the transition probabilities for magnetic dipole and electric quadrupole radiation, which are important for understanding gaseous nebulae, the earth's aurora and emission from ... More


ELECTRON SPIN RESONANCE

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/9780198507802.003.0013
Subject:
Physics, Condensed Matter Physics / Materials

Spin resonance is one of the major tools in the study of defect and impurity systems. This chapter describes how the key parameters of the spin Hamiltonian can be predicted, including a detailed ... More


COLLECTIVE EXCITATIONS IN EVEN–EVEN NUCLEI: VIBRATIONAL AND ROTATIONAL MOTION

R. F. Casten

in Nuclear Structure from a Simple Perspective

Published in print:
2001
Published Online:
January 2010
ISBN:
9780198507246
eISBN:
9780191709333
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198507246.003.0006
Subject:
Physics, Nuclear and Plasma Physics

The shell model is generally considered the fundamental nuclear model and works best for light nuclei. More fundamental to the shell model's central position in nuclear physics is that it provides a ... More


Linearized theory and gravitational waves

Ta-Pei Cheng

in Relativity, Gravitation and Cosmology: A Basic Introduction

Published in print:
2009
Published Online:
February 2010
ISBN:
9780199573639
eISBN:
9780191722448
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199573639.003.0015
Subject:
Physics, Particle Physics / Astrophysics / Cosmology

In the weak-field limit Einstein's equation can be linearized and it takes on form of the familiar wave equation. Gravitational waves may be viewed as ripples of curvature propagating in a background ... More


Transverse motion

E. J. N. Wilson

in An Introduction to Particle Accelerators

Published in print:
2001
Published Online:
January 2010
ISBN:
9780198508298
eISBN:
9780191706363
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198508298.003.0002
Subject:
Physics, Particle Physics / Astrophysics / Cosmology

This chapter deals with the motion of particles as they travel around a circular accelerator or storage ring, guided by dipole magnets and focussed by quadrupoles. The parameters magnetic rigidity ... More


The Controversy over Gravitational Waves

Hanoch Gutfreund and Jürgen Renn

in The Formative Years of Relativity: The History and Meaning of Einstein's Princeton Lectures

Published in print:
2017
Published Online:
May 2018
ISBN:
9780691174631
eISBN:
9781400888689
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691174631.003.0009
Subject:
Physics, History of Physics

This chapter addresses one of the key themes of modern general relativity: gravitational waves. In 1916, Einstein performed the first relevant calculations, including a first derivation of the ... More


The Green’s function in linear elasticity

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/9780198860785.003.0004
Subject:
Physics, Condensed Matter Physics / Materials, Crystallography: Physics

The elastostatic Green’s tensor function is the solution of a differential equation for the displacement field created by a unit point force in an infinite continuum. Its symmetry is derived using ... More


Electric Properties

Stephan P. A. Sauer

in Molecular Electromagnetism: A Computational Chemistry Approach

Published in print:
2011
Published Online:
December 2013
ISBN:
9780199575398
eISBN:
9780191775109
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199575398.003.0004
Subject:
Physics, Atomic, Laser, and Optical Physics

This chapter defines the most important electric properties of a molecule, the electric dipole and quadrupole moment as well as the corresponding polarizabilities, via the multipole expansion of the ... More


Introductory magnetic resonance

Paul T. Callaghan

in Translational Dynamics and Magnetic Resonance: Principles of Pulsed Gradient Spin Echo NMR

Published in print:
2011
Published Online:
December 2013
ISBN:
9780199556984
eISBN:
9780191774928
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199556984.003.0004
Subject:
Physics, Condensed Matter Physics / Materials, Nuclear and Plasma Physics

This chapter introduces the basic principles of magnetic resonance, making the connection between the quantum and classical descriptions. Resonant excitation and nutation are outlined, in the context ... More


Molecules in Electric Fields

Anthony J. Stone

in The Theory of Intermolecular Forces

Published in print:
2013
Published Online:
May 2013
ISBN:
9780199672394
eISBN:
9780191751417
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199672394.003.0002
Subject:
Physics, Atomic, Laser, and Optical Physics

The idea of multipole moments—charge, dipole, quadrupole, and so on—is developed. The multipole moments are defined and described, first in Cartesian tensor form and then in spherical tensor form. ... More


Gravitational waves

Steven Carlip

in General Relativity: A Concise Introduction

Published in print:
2019
Published Online:
March 2019
ISBN:
9780198822158
eISBN:
9780191861215
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198822158.003.0009
Subject:
Physics, Particle Physics / Astrophysics / Cosmology, Theoretical, Computational, and Statistical Physics

In the weak field approximation, the Einstein field equations can be solved, and lead to the prediction of gravitational waves. After showing that gravitational radiation depends on changing ... More


The Potentials

Richard Freeman, James King, and Gregory Lafyatis

in Electromagnetic Radiation

Published in print:
2019
Published Online:
February 2019
ISBN:
9780198726500
eISBN:
9780191793325
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198726500.003.0002
Subject:
Physics, Atomic, Laser, and Optical Physics

The concepts of scalar and vector potentials are introduced and the electric and magnetic fields are shown to be derived from specific forms of these potentials. The choice of these forms is ... More


Gravitational waves

Nils Andersson

in Gravitational-Wave Astronomy: Exploring the Dark Side of the Universe

Published in print:
2019
Published Online:
January 2020
ISBN:
9780198568032
eISBN:
9780191878077
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198568032.003.0003
Subject:
Physics, Particle Physics / Astrophysics / Cosmology

This chapter introduces the notion of gravitational waves, starting with a discussion of weak fluctuations on a flat spacetime background and later extending the notion to a general curved spacetime. ... More


Binary inspiral

Nils Andersson

in Gravitational-Wave Astronomy: Exploring the Dark Side of the Universe

Published in print:
2019
Published Online:
January 2020
ISBN:
9780198568032
eISBN:
9780191878077
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198568032.003.0005
Subject:
Physics, Particle Physics / Astrophysics / Cosmology

This chapter provides a simple application of the quadrupole formula to the relevant setting of binary inspiral. The results are compared to the celebrated observations of the Binary Pulsar ... More


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