Theory of Relativity

ISBN-10: 048664152X

ISBN-13: 9780486641522

Edition: Unabridged 

Authors: W. Pauli, Arnold Sommerfeld

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This classic work offers a concise and comprehensive review of the literature on relativity as of 1921, along with the author's insightful update of later developments in relativity theory and coverage of subsequent controversies. Special attention is given to unified field theories. 1958 edition.
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Book details

List price: $16.95
Publisher: Dover Publications, Incorporated
Publication date: 7/1/1981
Binding: Paperback
Pages: 272
Size: 5.50" wide x 8.50" long x 0.50" tall
Weight: 0.594
Language: English

Born in Switzerland, Wolfgang Pauli was the son of a professor of physical chemistry at the University of Vienna and godson of Ernst Mach. He was a child prodigy, writing an outstanding paper on the theory of relativity at age 19, and receiving his Ph.D. from the University of Munich in 1922. After further study with Niels Bohr and Max Born, Pauli taught at the Federal Institute of Technology in Zurich, where he remained until his death in 1958. His discovery of the exclusion principle enabled Pauli to explain the structure of the periodic table of elements, formulate fundamental theories of electrical conductivity in metal, and investigate magnetic properties of matter. For this discovery, Pauli received the Nobel Prize in 1945. Pauli's second great accomplishment was resolving the "problem" of beta decay. In 1930 he addressed this question of the "missing energy" of electrons by suggesting that an emitted electron was accompanied by a neutral particle carrying an excess of energy. Pauli's intellectual ability was not matched by his manual dexterity; his colleagues laughed at the so-called Pauli effect, whereby accidents seemed to happen whenever he worked in the laboratory.

The foundations of the special theory of relativity
Historical background
The postulate of relativity
The postulate of the constancy of the velocity of light
Ritz's and related theories
The relativity of simultaneity
Derivation of the Lorentz transformation from the two postulates
Axiomatic nature of the Lorentz transformation
Lorentz contraction and time dilatation
Einstein's addition theorem for velocities and its application to aberration and the drag coefficient
The Doppler effect
Mathematical Tools
The four-dimensional space-time world
More general transformation groups
Tensor calculus for affine transformations
Geometrical meaning of the contravariant and covariant components of a vector
"Surface" and "volume" tensors
Four-dimensional volumes
Dual tensors
Transition to Riemannian geometry
Parallel displacement of a vector
Geodesic lines
Space curvature
Riemannian coordinates and their applications
The special cases of Euclidean geometry and of constant curvature
The integral theorems of Gauss and Stokes in a four-dimensional Riemannian manifold
Derivation of invariant differential operations, using geodesic components
Affine tensors and free vectors
Reality relations
Infinitesimal coordinate transformations and variational theorems
Special theory of relativity
Further elaborations
Four-dimensional representation of the Lorentz transformation
The addition theorem for velocities
Transformation law for acceleration
Hyperbolic motion
Conservation of charge
Four-current density
Covariance of the basic equations of electron theory
Ponderomotive forces
Dynamics of the electron
Momentum and energy of the electromagnetic field
Differential and integral forms of the conservation laws
The invariant action principle of electrodynamics
Applications to special cases
Integration of the equations for the potential
The field of a uniformly moving point charge
The field for hyperbolic motion
Invariance of the light phase
Reflection at a moving mirror
Radiation pressure
The radiation field of a moving dipole
Radiation reaction
Minkowski's phenomenological electrodynamics of moving bodies
Electron-theoretical derivations
Energy-momentum tensor and ponderomotive force in phenomenological electrodynamics
Joule heat
Applications of the theory
The experiments of Rowland, R�ntgen, Eichenwald and Wilson
Resistance and induction in moving conductors
Propagation of light in moving media
The drag coefficient
Airy's experiment
Signal velocity and phase velocity in dispersive media
Mechanics and general dynamics
Equation of motion
Momentum and kinetic energy
Relativistic mechanics on a basis independent of electrodynamics
Hamilton's principle in relativistic mechanics
Generalized coordinates
Canonical form of the equations of motion
The inertia of energy
General dynamics
Transformation of energy and momentum of a system in the presence of external forces
Applications to special cases
Trouton and Noble's experiments
Hydrodynamics and theory of elastic
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