On certain unitary representations of an infinite group of transformations / by Leon van Hove ; translated by Marcus Berg and Cecile DeWitt-Morette.

Format:

Book

Author/Creator:

Hove, L. van (Leon)

Standardized Title:

Sur certaines representations unitaires d'un groupe infini de transformations. English

Language:

English

Subjects (All):

Transformations (Mathematics).

Algorithms.

Physical Description:

1 online resource (103 p.)

Place of Publication:

Singapore ; River Edge, NJ : World Scientific, c2001.

Language Note:

English

Summary:

On April 20, 1951, Léon Van Hove presented his thesis "Sur certaines représentations unitaires d'un groupe infini de transformations"" to the Université libre de Bruxelles (Free University of Brussels), two days before the University of Grenoble had approved the creation of L'Ecole d'été de physique théorique at Les Houches (Haute Savoie, France). The first session of the "Ecole des Houches" began on July 15, 1951, with a month-long course by Van Hove on quantum mechanics. The lecture notes for this course were written for the benefit of physicists who - like most of their colleagues outside t

Contents:

FOREWORD; FOREWORD TO THE TRANSLATION; Table of Contents; CHAPTER I Introduction and Review.; 1 Introduction; 2 Review of Hypermaximally Symmetric Operators; CHAPTER II The Group of Transformations That Leaves Invariant the Pfaff Form ds - ΣPjdqj.; 3 Definition of the Group Γ and Immediate Properties; 4 Some Subgroups of Γ; 5 Infinitesimal Transformations in the Group Γ; 6 A Lie Algebra of Infinitesimal Transformations in Γ; CHAPTER III Unitary Representations R and R(α)of the Group Γ.; 7 The Representation R.; 8 The Representations R(α); 9 Reduction of the Representation R

References

Notes:

Translation of the author's thesis (Vrije Universiteit Brussel, 1951).

Includes bibliographical references (p. 85-86).

ISBN:

9789812838988

9812838988