Metric geometry and quantum theory of elementary corpuscles.
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Metric geometry and quantum theory of elementary corpuscles. by Jean Mariani

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Published in Brooklyn .
Written in English


  • Quantum theory.,
  • Particles (Nuclear physics)

Book details:

LC ClassificationsQC174.1 .M325
The Physical Object
Pagination190 p.
Number of Pages190
ID Numbers
Open LibraryOL6150395M
LC Control Number54001775

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perturbative treatment of quantum gravity, is used to begin a systematic construction of a quantum theory of geometry. Regulated operators corre-sponding to areas of 2-surfaces are introduced and shown to be self-adjoint on the underlying (kinematical) Hilbert . This book is not a research monograph or a reference book (although research interests of the authors influenced it a lot)—this is a textbook. Its structure is similar to that of a graduate by: Sweet introduction to Elementary Topology and Metric Spaces and it is indeed an introduction to Mathematical Proofing techniques. This one is a Gem!!! Many proofs and exercises in the book come with Solutions at the end of the book. The book is barely pages and indeed the book feels like 50 by: 1. It was about four years ago that Springer-Verlag suggested that a revised edition in a single volume of my two-volume work may be worthwhile. I agreed enthusiastically but the project was delayed for many reasons, one of the most important of which was that I did not have at that time any clear idea as to how the revision was to be carried out.

The first title in a new series, this book explores topics from classical and quantum mechanics and field theory. The material is presented at a level between that of a textbook and research papers making it ideal for graduate students. The book provides an entree into a field that promises to remain exciting and important for years to come.5/5(1). With chapters on random walks, random surfaces, two-and higher-dimensional quantum gravity, topological quantum field theories and Monte Carlo simulations of random geometries, the text provides a self-contained account of quantum geometry from a statistical field theory point of by: Geometric group theory is an area in mathematics devoted to the study of finitely generated groups via exploring the connections between algebraic properties of such groups and topological and geometric properties of spaces on which these groups act (that is, when the groups in question are realized as geometric symmetries or continuous transformations of some spaces).   This is the first chapter in a series on Mathematical Quantum Field Theory.. The next chapter is ime.. 1. Geometry. The geometry of physics is differential is the flavor of geometry which is modeled on Cartesian spaces ##\mathbb{R}^n## with smooth functions between them.

(pseudo-)metric is when Gacts on a metric space X: In this case the group G maps to Xvia the orbit map g7!gx. The pull-back of the metric to Gis then a pseudo-metric on G. If Gacts on X isometrically, then the resulting pseudo-metric on Gis G-invariant. If, furthermore, the space X is proper and geodesic. with the emergence of quantum geometry, for the rst time the tools for such a description are at hand. As early as the ’s it was proposed that space-time coordinates might be noncommuting 1It is worth mentioning that the term quantum geometry has appeared inrecent years also other contexts, notably in loop quantum gravity and string Size: KB. Science students have to spend much of their time learning how to do laboratory work, even if they intend to become theoretical, rather than experimental, scientists. It is important that they understand how experiments are performed and what the results mean. In Brand: Springer-Verlag New York.   Rouger Boudet Quantum Mechanics in the Geometry of Space-Time Elementary Theory Springer; 1st Edition. edition (J ), paperback, ISBN , ISBN Price: USD. Preface The aim of the work we propose is a contribution to the expression of the present particles theories in terms entirely relevant to the elements of .