A comprehensive review of this formalism was published by the same authors in Gravitation: An introduction to current research Louis Witten (editor), Wiley NY (1962); chapter 7, pp 227–265.
The thesis that the value of music is related to its representational function was vigorously countered by the formalism of Eduard Hanslick, setting off the "War of the Romantics."
In 2009 as recognition for the BRST formalism, he received the Dannie Heineman Prize for Mathematical Physics with Stora, Rouet, and Igor Tyutin.
This article presents the mathematical formalism involved in defining, finding, and proving the existence of geodesics, in the case of Riemannian and pseudo-Riemannian manifolds.
Albert Einstein created the foundations for the laser and maser in 1917, via a paper in which he re-derived Max Planck’s law of radiation using a formalism based on probability coefficients (Einstein coefficients) for the absorption, spontaneous emission, and stimulated emission of electromagnetic radiation.
In their simplicity and semi-abstract formalism, they foreshadow more modern works such as those of Mondrian and Feininger.
Regge calculus, formalism for producing simplicial approximations of spacetimes
In general relativity, Regge calculus is a formalism for producing simplicial approximations of spacetimes that are solutions to the Einstein field equation.
In the context of general relativity, he is best known for his development (with Stanley Deser and Charles Misner) of the ADM formalism, roughly speaking a way of describing spacetime as space evolving in time, which allows a recasting of Einstein's theory in terms of a more general formalism used in physics to describe dynamical systems, namely the Hamiltonian formalism.
In the context of general relativity, he is best known for his development (with Richard Arnowitt and Charles Misner) of the ADM formalism, roughly speaking a way of describing spacetime as space evolving in time, which allows a recasting Einstein's theory in terms of a more general formalism used in physics to describe dynamical systems, namely the Hamiltonian formalism.
In 1946, Andrei Zhdanov issued a decree, nominally aimed at Vano Muradeli's opera The Great Friendship, but in actuality against a wide range of composers who were guilty of 'formalism'.
Using the superconnection formalism of Quillen, they obtained a refinement of the Riemann–Roch formula, which links together the Thom classes in K-theory and cohomology, as an equality on the level of differential forms.
Drinfeld introduced the notion of a quantum group (independently discovered by Michio Jimbo at the same time) and made important contributions to mathematical physics, including the ADHM construction of instantons, algebraic formalism of the Quantum inverse scattering method, and the Drinfeld–Sokolov reduction in the theory of solitons.
The name derives from physicists Eugene Wigner and Carl Eckart who developed the formalism as a link between the symmetry transformation groups of space (applied to the Schrödinger equations) and the laws of conservation of energy, momentum, and angular momentum.
Beside his work on the LSZ formalism he is also known for the development of Bogolyubov - Parasiuk renormalization schema (also BPHZ Renormalization schema named after Klaus Hepp and Zimmermann).