The mathematical apparatus for quantum theories; based on the theory of boolean lattices

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The mathematical apparatus for quantum theories; based on the theory of boolean lattices

Die Grundlehren der mathematischen Wissenschaftenin Einzeldarstellungenmit besonderer Berucksichtigungder AnwendungsgebieteBand 129Herausgegeben vonJ.

The mathematical apparatus for quantum theories; based on the theory of boolean lattices . L. Doob • E. Heinz • F. Hirzebruch • E. Hopf H. Hopf • w. Maak . s. MacLane w. Magnus • D. Mumford • F. K. Schmidt • K. SteinGescbăftsfuhrenảe Herau

sgeberB. Eckmann und B. L. van der WaerdenThe Mathematical Apparatus for Quantum-TheoriesBased on the Theory o£ Boolean LatticesOtton Martin NikodymSp The mathematical apparatus for quantum theories; based on the theory of boolean lattices

ringer-Verlag New York Inc. 1966Geschăftsfủhrenđe Herausgeber:Prof. Dr. B. EckmannEidgenỏssische Technische Hochschule ZurichProf. Dr. B. L. van der W

The mathematical apparatus for quantum theories; based on the theory of boolean lattices

aerdenMatbematischcs ỉnstỉtut der Universitât ZttrkhISBN-13: 978-3-642-46032-6 e-ISBN-13: 978-3-642-46030-2DOI: 10.1007/978-3-642-46030-2All rights re

Die Grundlehren der mathematischen Wissenschaftenin Einzeldarstellungenmit besonderer Berucksichtigungder AnwendungsgebieteBand 129Herausgegeben vonJ.

The mathematical apparatus for quantum theories; based on the theory of boolean lattices means (photostat, microfilm and/or microcard or auy other means) without written permission from the Publishers© I960 by Springer-Verlag New York Inc.

Softcover reprint of the hardcover 1st edition 1966Library of Congress Catalog Card Number 66-27977Tide No. 5112Dedicated to my wifeDr. Stanisỉawa Nik The mathematical apparatus for quantum theories; based on the theory of boolean lattices

odýmPrefaceThe purpose of this book is to give the theoretical physicist a geometrical, visual and precise mathematical apparatus which would be bette

The mathematical apparatus for quantum theories; based on the theory of boolean lattices

r adapted to some of their arguments, than the existing and generally applied methods. The theories, presented in this book, are based on the theory o

Die Grundlehren der mathematischen Wissenschaftenin Einzeldarstellungenmit besonderer Berucksichtigungder AnwendungsgebieteBand 129Herausgegeben vonJ.

The mathematical apparatus for quantum theories; based on the theory of boolean lattices the said mathematical apparatus is sketched, is that of the author: “Un nouvel appareil mathematique pour la thcoric des quanta.”1The theory exhibited

in this paper has been simplified, generalized and applied to several items of the theory of maximal normal operators in Hilbert-space, especially to The mathematical apparatus for quantum theories; based on the theory of boolean lattices

the theory of multiplicity of the continuous spectrum and to permutable normal operators, based on a special canonical representation of normal opera

The mathematical apparatus for quantum theories; based on the theory of boolean lattices

tors and on a general system of coordinates in Hilbert-space, which is well adapted not only to the case of discontinuous spectrum, but also to the co

Die Grundlehren der mathematischen Wissenschaftenin Einzeldarstellungenmit besonderer Berucksichtigungder AnwendungsgebieteBand 129Herausgegeben vonJ.

The mathematical apparatus for quantum theories; based on the theory of boolean lattices a generalization of hermitean selfadjoint and of unitary operators.The importance of the methods, sketched in the mentioned paper, has been emphasized

in the review in the “Zentralblatt fiir Mathematik”, by the physicist G. Ludwig2 and later applied by him in his book “Die Grundlagen dor Quantenmech The mathematical apparatus for quantum theories; based on the theory of boolean lattices

anik”3. The mentioned theory has

Die Grundlehren der mathematischen Wissenschaftenin Einzeldarstellungenmit besonderer Berucksichtigungder AnwendungsgebieteBand 129Herausgegeben vonJ.