In formulating his physical theories, Newton had developed a field of mathematics known as calculus.
Importance: Topic creator, Breakthrough, Influence
Description: Special relativity, developed in 1905, only considers observers in inertial reference frames which are in uniform motion with respect to each other. Einstein's paper that year was called "On the Electrodynamics of Moving Bodies". While developing this theory, Einstein wrote to Mileva (his wife) about "our work on relative motion". This paper introduced the special theory of relativity, a theory of time, distance, mass and energy. The theory postulates that the speed of light in vacuum will be the same for these observers. Special relativity solved the puzzle that had been apparent since the Michelson-Morley experiment, which had failed to show that light waves were travelling through any medium (other known waves travelled through media - such as water or air). It had been suggested that light waves actually did not travel through any medium: the speed of light was thus fixed, and not relative to the movement of the observer. This was impossible under Newtonian classical mechanics however, and Einstein provided a new system which allowed for this.
Importance: Topic creator, Breakthrough, Influence
Description: This pioneering textbook drew together the now well-known developments of H.A.Lorentz, A. Einstein, and H. Minkowski. It uses concepts developed in the then- current textbooks (e.g. Gibbs: Vector Analysis and Bonola: Non-Euclidean Geometry) to provide entry into mathematical physics including a vector-based introduction to quaternions and a primer on matrix notation for linear transformations of 4-vectors. The ten chapters are composed of 4 on kinematics, 3 on quaternion methods, and 3 on electromagnetism. The second edition published in 1924 extended relativity into gravitation theory with tensor methods, but was superceded by Eddington's text. The book has a conversational style and embellished with appropriate footnotes. While the mathematics is generally well adapted to the text, there is an erroneous expression given for the quaternionic representation of Lorentz transformations. The expression should have the form of an inner automorphism but Silberstein inexplicably uses the expression Q Q , failing to supply one of the Q's with a − 1 exponent. The actual technique in geometric arithmetic comes about with inversive ring geometry applied to biquaternions. Importance: influence
Importance: Topic creator, Breakthrough, Influence
Description: This textbook is a tour-de-force of tensor calculus, developed in Chapter II. By page 83 he has deduced the Schwarzschild metric for the domain of events around an isolated massive particle. By page 92 he has explained the advance of the perihelion of the planets, the deflection of light, and displacement of Fraunhofer lines. Electromagnetism is relegated to Chapter VI (pp. 170-195), and later (p. 223) The bifurcation of geometry and electrodynamics. This text, with its ambitious development of pseudo-Riemannian geometry for gravitational theory, set an austere standard with relativity enthusiasts. Gone is any mention of quaternions or hyperbolic geometry since tensor calculus subsumes them. Thus for learning the mechanics of modern relativity this text still serves, but for motivation and context of the special theory, Silberstein is better.
Importance: influence
Description: In physics, the intensity spectrum of electromagnetic radiation from a black body at temperature T is given by the Planck's law of black body radiation:
where:
Max Planck originally produced this law in 1900 (published in 1901) in an attempt to interpolate between the Rayleigh-Jeans law (which worked at long wavelengths) and Wien's law (which worked at short wavelengths). He found that the above function fit the data for all wavelengths remarkably well.
This paper is considered to be the beginning of quantum theory.
Importance: Topic creator, Breakthrough, Influence
Description: Observations of the generation of heat during the boring of cannons led Rumford to reject the caloric theory and to contend that heat was a form of motion.
Importance: Influence
Description: Between 1876 and 1878 Gibbs wrote a series of papers collectively entitled "On the Equilibrium of Heterogeneous Substances", considered one of the greatest achievements in physical science in the 19th century and the foundation of the science of physical chemistry. In these papers Gibbs applied thermodynamics to the interpretation of physicochemical phenomena and showed the explanation and interrelationship of what had been known only as isolated, inexplicable facts. Gibbs' papers on heterogeneous equilibria included:
Importance:
Description: In this publication Einstein covered his study of Brownian motion, and provided empirical evidence for the existence of atoms.
Importance:
Description: Introduces the real space view on the renormalization group, and explains using this concept some relations between the scaling exponents of the Ising model.
Importance: Topic creator, breakthrough, influence
Importance: Breakthrough, influence
Description: "A Dynamical Theory of the Electromagnetic Field" was the third of James Clerk Maxwell's papers concerned with electromagnetism. The concept of displacement current was introduced, so that it became possible to derive equations of electromagnetic wave. It was the first paper in which Maxwell's equations appeared.
Importance: Topic creator, breakthrough, influence
Description: Introduces the dimensionless Reynolds number, investigating the critical Reynolds number for transition from laminar to turbulent flow. ''
Description: Introduces the only quantitative theory on turbulence which has survived the test of time.
Importance: Breakthrough, Influence
Description: The most important review text on turbulence.
Importance: Relevant textbook.
Description: A finite system of deterministic nonlinear ordinary differential equations is introduced to represent forced dissipative hydrodynamic flow, simulating simple phenomena in the real atmosphere. All of the solutions are found to be unstable, and most of them nonperiodic, thus forcing to reevaluate the feasibility of long-term weather prediction. In this paper the Lorenz attractor is presented for the first time, and gave the first hint of what is now known as butterfly effect.
Importance: Topic creator, Breakthrough
Description: Introduction of the Feynman diagrams approach to quantum electrodynamics.
Importance: Topic creator, Breakthrough, Influence
Description: The most important reference textbook on cosmology, discussing both observational and theoretical issues.
Importance: Relevant textbook.
Description: The BCS theory of usual (not high T_c) superconductivity, relating the interaction of electrons and the phonons of a lattice. The authors were awarded with the Nobel prize.
Importance: Breakthrough, Influence
See Also:List of scientific journals - Optics
Importance: Influence
Importance: Topic creator, Breakthrough, Influence
Lloyd, S., 2000, Ultimate physical limits of computation, Nature, 406:1047-1054.
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