The aim of this book is to make accessible to mathematicians, physicists and other scientists interested in quantum theory, the mathematically beautiful but difficult subjects of the Feynman integral and Feynman's operational calculus. Some advantages of the four approaches to the Feynman integral which are given detailed treatment 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 here was previously 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.

The Feynman Integral and Feynman's Operational Calculus (Oxford Mathematical Monographs)

Science & Math

Lapidus, Michel L.

Johnson, Gerald W.

Mathematics

Clarendon Press

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.

Feynman's Operational Calculus and Beyond: Noncommutativity and Time-Ordering (Oxford Mathematical Monographs)

Nielsen, Lance

Oxford University Press

Format Hardcover Subject Literary Collections Publisher Greenwood Publishing Group Incorporated

Our English Heritage

History

Americas

Praeger

Will the United States of America go the way of Rome, Byzantium, and Egypt―those empires which collapsed and are known to us only through the history books? In 1787 the Founding Fathers created a political system which has worked tolerably well, some say brilliantly, for over one hundred and fifty years. But is it adequate for the new America that came into being after World War II―America the world power with interests and entanglements in every continent? Gerald W. Johnson argues that it can be made to work if we put our minds to it. Johnson looks to the Constitution, studying the men who conceived it and searching in their work for the key to our survival. He finds that key in the Constitution's faith in the people, in the "common man" who has proved his ability to make sensible judgments, when he has the facts. The people must demand that the goals of American democracy, as embodied in the Preamble to the Constitution, be now applied as faithfully to those outside the boundaries of the United States as to those at home. He sees the possibility, no more than that, of Empire without Imperialist exploitation. Johnson scrutinizes the Marshall Plan; U.S. involvement in Korea, Southeast Asia, and the Dominican Republic; U.S. attitudes toward the Soviet Union. He notes that in the past, imperial power was based upon military superiority. He says that nuclear weapons have made this dependence obsolete, that the United States must seeks and find its future security through economic strength and wily statecraft. The new Imperialism―the only one that can endure, says Johnson―must operate for "the benefit of the imperial power and of the tributaries." As government of the U.S. grows bigger, more unwieldly and unresponsive, each concerned citizen must take the power which is rightfully his, study the facts (and demand them if they are not freely given), and make his own decisions in the spirit of the Founding Fathers. If "we, the people" do not shoulder our responsibilities now, he believes the United States is doomed to ostracism by the world community, and eventual decline.

The Imperial Republic: Speculation on the Future, If Any, of the Third U.S.A.

Politics & Social Sciences

Politics & Government

Liveright

The Imperial Republic: Speculation on the Future, if Any, of the Third U.S.A.

Mount Vernon: The Story of a Shrine

Mount Vernon Ladies Assn

This is a reproduction of a book published before 1923. This book may have occasional imperfections such as missing or blurred pages, poor pictures, errant marks, etc. that were either part of the original artifact, or were introduced by the scanning process. We believe this work is culturally important, and despite the imperfections, have elected to bring it back into print as part of our continuing commitment to the preservation of printed works worldwide. We appreciate your understanding of the imperfections in the preservation process, and hope you enjoy this valuable book.

Incredible Tale The Odyssey Of The Average American In The Lass Half Century

Nabu Press

Many of the earliest books, particularly those dating back to the 1900s and before, are now extremely scarce and increasingly expensive. We are republishing these classic works in affordable, high quality, modern editions, using the original text and artwork.

Incredible Tale: The Odyssey of the Average American in the Last Half Century

Burman Pr

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.

The Wasted Land

The University of North Carolina Press

Book by Johnson, Gerald W., Gerald, Johnson, Grace, Gibson E.

By Reason of Strength (Scottish Heritage Series)

Literature & Fiction

Gerald, Johnson

Grace, Gibson E.

Contemporary

St Andrews Pr

See the best price to sell, buy, or rent books by Johnson, Gerald W.. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Books by Johnson, Gerald W.