Gerald W. Johnson – författare

This text aims to make accessible to mathematicians, physicists and other scientists interested in quantum theory, the beautiful but mathematically difficult subjects of the Feynman integral and Feynman's operational calculus. Some advantages of the approaches to the Feynman integral which are treated in detail in this book are the following: the existence of the Feynman integral is established for very general potentials in all four cases; under more restrictive but still broad conditions, three of these Feynman integrals agree with one another and with the unitary group from the usual approach to quantum dynamics; these same three Feynman integrals possess pleasant stability properties. Much of the material covered has been previously available only in the research literature, and the book also contains some new results. The background material in mathematics and physics that motivates the study of the Feynman integral and Feynman's operational calculus is discussed, and detailed proofs are provided for the central results.

This book is aimed at providing a coherent, essentially self-contained, rigorous and comprehensive abstract theory of Feynman's operational calculus for noncommuting operators. Although it is inspired by Feynman's original heuristic suggestions and time-ordering rules in his seminal 1951 paper An operator calculus having applications in quantum electrodynamics, as will be made abundantly clear in the introduction (Chapter 1) and elsewhere in the text, the theory developed in this book also goes well beyond them in a number of directions which were not anticipated in Feynman's work. Hence, the second part of the main title of this book.The basic properties of the operational calculus are developed and certain algebraic and analytic properties of the operational calculus are explored. Also, the operational calculus will be seen to possess some pleasant stability properties. Furthermore, an evolution equation and a generalized integral equation obeyed by the operational calculus are discussed and connections with certain analytic Feynman integrals are noted. This volume is essentially self-contained and we only assume that the reader has a reasonable, graduate level, background in analysis, measure theory and functional analysis or operator theory. Much of the necessary remaining background is supplied in the text itself.

Gerald W. Johnson of North Carolina and Baltimore was one of the most prominent American journalists of the twentieth century and one of the outstanding essayists of any age. The author of some three dozen books of history, biography, and commentary on American politics and culture, he was an editorial writer for the Baltimore Sunpapers from 1926 to 1943, a contributing editor of the New Republic from 1954 until his death in 1980, and an advocate of liberal causes for half a century. Johnson was, as Adlai Stevenson said, ""the conscience of America.""Before Johnson examined the health of America, however, he examined the health of the South--and generally, in the 1920s, he found it poor. The revival of the Ku Klux Klan, the Scopes trial, the anti-Catholicism sparked by Al Smith's presidential candidacy, and the labor violence of 1929 made the South the nation's number one news item, reinforcing the national image of a Savage South.In South-Watching, Fred Hobson contends that Johnson's most important accomplishment was his role as brilliant critic and interpreter of Southern life during this crucial stage in the making of a modern Southern mind. This volume is the first collection of Johnson's essays about the South, and Hobson's perceptive introduction is the first biographical treatment of a man whose vision shaped the destiny of his native region.A UNC Press Enduring Edition -- UNC Press Enduring Editions use the latest in digital technology to make available again books from our distinguished backlist that were previously out of print. These editions are published unaltered from the original, and are presented in affordable paperback formats, bringing readers both historical and cultural value.

Tanner, like so many of the region's giants, began his career in the South's dismal age of reconstruction. This is not only the Tanner story but, in microcosm, the story of those significant southern institutions, mill stores and villages, and the story of the rise of an industrial South. Originally published in 1952. A UNC Press Enduring Edition -- UNC Press Enduring Editions use the latest in digital technology to make available again books from our distinguished backlist that were previously out of print. These editions are published unaltered from the original, and are presented in affordable paperback formats, bringing readers both historical and cultural value. |This is the inspiring biography of the one-time commandant of cadets at Hampton Institute and the successor to Booker T. Washington at Tuskegee Institute as related by his lifelong friends, colleagues, and students. The years he spent at Tuskegee in the shadow of the great and the vision and courage necessary to change that institution from a vocational school to a liberal arts college are vividly recounted.

Johnson is concerned with the waste of land and human wealth in the Southeast. He believes that in practically every form it takes this waste is avoidable and remediable. He proposes a constructive regional planning program that would increase the wealth of the region by a staggering proportion until it would be capable of sustaining a civilization as fine as any the world has ever seen.Originally published in 1938.A UNC Press Enduring Edition - UNC Press Enduring Editions use the latest in digital technology to make available again books from our distinguished backlist that were previously out of print. These editions are published unaltered from the original, and are presented in affordable paperback formats, bringing readers both historical and cultural value.