The Schrodinger Model for the Minimal Representation of the Indefinite Orthogonal Group $O(p,q)$

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Publisher : American Mathematical Soc.
ISBN 13 : 0821847570
Total Pages : 145 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis The Schrodinger Model for the Minimal Representation of the Indefinite Orthogonal Group $O(p,q)$ by : Toshiyuki Kobayashi

Download or read book The Schrodinger Model for the Minimal Representation of the Indefinite Orthogonal Group $O(p,q)$ written by Toshiyuki Kobayashi and published by American Mathematical Soc.. This book was released on 2011 with total page 145 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors introduce a generalization of the Fourier transform, denoted by $\mathcal{F}_C$, on the isotropic cone $C$ associated to an indefinite quadratic form of signature $(n_1,n_2)$ on $\mathbb{R}^n$ ($n=n_1+n_2$: even). This transform is in some sense the unique and natural unitary operator on $L^2(C)$, as is the case with the Euclidean Fourier transform $\mathcal{F}_{\mathbb{R}^n}$ on $L^2(\mathbb{R}^n)$. Inspired by recent developments of algebraic representation theory of reductive groups, the authors shed new light on classical analysis on the one hand, and give the global formulas for the $L^2$-model of the minimal representation of the simple Lie group $G=O(n_1+1,n_2+1)$ on the other hand.

The Schrödinger Model for the Minimal Representation of the Indefinite Orthogonal Group O(p, Q)

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Publisher : American Mathematical Soc.
ISBN 13 : 0821882457
Total Pages : 145 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis The Schrödinger Model for the Minimal Representation of the Indefinite Orthogonal Group O(p, Q) by : Toshiyuki Kobayashi

Download or read book The Schrödinger Model for the Minimal Representation of the Indefinite Orthogonal Group O(p, Q) written by Toshiyuki Kobayashi and published by American Mathematical Soc.. This book was released on with total page 145 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Volume 213, number 1000 (first of 5 numbers )."

The Schrödinger Model for the Minimal Representation of the Indefinite Orthogonal O(p,q)

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Publisher :
ISBN 13 :
Total Pages : 109 pages
Book Rating : 4.:/5 (897 download)

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Book Synopsis The Schrödinger Model for the Minimal Representation of the Indefinite Orthogonal O(p,q) by : Toshiyuki Kobayashi

Download or read book The Schrödinger Model for the Minimal Representation of the Indefinite Orthogonal O(p,q) written by Toshiyuki Kobayashi and published by . This book was released on 2007 with total page 109 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Quantum Theory, Groups and Representations

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Publisher : Springer
ISBN 13 : 3319646125
Total Pages : 659 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis Quantum Theory, Groups and Representations by : Peter Woit

Download or read book Quantum Theory, Groups and Representations written by Peter Woit and published by Springer. This book was released on 2017-11-01 with total page 659 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text systematically presents the basics of quantum mechanics, emphasizing the role of Lie groups, Lie algebras, and their unitary representations. The mathematical structure of the subject is brought to the fore, intentionally avoiding significant overlap with material from standard physics courses in quantum mechanics and quantum field theory. The level of presentation is attractive to mathematics students looking to learn about both quantum mechanics and representation theory, while also appealing to physics students who would like to know more about the mathematics underlying the subject. This text showcases the numerous differences between typical mathematical and physical treatments of the subject. The latter portions of the book focus on central mathematical objects that occur in the Standard Model of particle physics, underlining the deep and intimate connections between mathematics and the physical world. While an elementary physics course of some kind would be helpful to the reader, no specific background in physics is assumed, making this book accessible to students with a grounding in multivariable calculus and linear algebra. Many exercises are provided to develop the reader's understanding of and facility in quantum-theoretical concepts and calculations.

Maths for Chemists

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Publisher : Royal Society of Chemistry
ISBN 13 : 1849733597
Total Pages : 405 pages
Book Rating : 4.8/5 (497 download)

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Book Synopsis Maths for Chemists by : Martin Cockett

Download or read book Maths for Chemists written by Martin Cockett and published by Royal Society of Chemistry. This book was released on 2012 with total page 405 pages. Available in PDF, EPUB and Kindle. Book excerpt: A new edition of the combined Volumes I and II of the hugely successful "Tutorial Chemistry Texts: Maths for Chemists" provides an excellent resource for all undergraduate chemistry students.

Solved Problems in Classical Mechanics

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Publisher : Oxford University Press
ISBN 13 : 0199582521
Total Pages : 608 pages
Book Rating : 4.1/5 (995 download)

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Book Synopsis Solved Problems in Classical Mechanics by : O.L. de Lange

Download or read book Solved Problems in Classical Mechanics written by O.L. de Lange and published by Oxford University Press. This book was released on 2010-05-06 with total page 608 pages. Available in PDF, EPUB and Kindle. Book excerpt: simulated motion on a computer screen, and to study the effects of changing parameters. --

Clifford Algebras and Spinors

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Publisher : Cambridge University Press
ISBN 13 : 0521005515
Total Pages : 352 pages
Book Rating : 4.5/5 (21 download)

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Book Synopsis Clifford Algebras and Spinors by : Pertti Lounesto

Download or read book Clifford Algebras and Spinors written by Pertti Lounesto and published by Cambridge University Press. This book was released on 2001-05-03 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the second edition of a popular work offering a unique introduction to Clifford algebras and spinors. The beginning chapters could be read by undergraduates; vectors, complex numbers and quaternions are introduced with an eye on Clifford algebras. The next chapters will also interest physicists, and include treatments of the quantum mechanics of the electron, electromagnetism and special relativity with a flavour of Clifford algebras. This edition has three new chapters, including material on conformal invariance and a history of Clifford algebras.

Quantum Theory for Mathematicians

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Publisher : Springer Science & Business Media
ISBN 13 : 1461471168
Total Pages : 566 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Quantum Theory for Mathematicians by : Brian C. Hall

Download or read book Quantum Theory for Mathematicians written by Brian C. Hall and published by Springer Science & Business Media. This book was released on 2013-06-19 with total page 566 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although ideas from quantum physics play an important role in many parts of modern mathematics, there are few books about quantum mechanics aimed at mathematicians. This book introduces the main ideas of quantum mechanics in language familiar to mathematicians. Readers with little prior exposure to physics will enjoy the book's conversational tone as they delve into such topics as the Hilbert space approach to quantum theory; the Schrödinger equation in one space dimension; the Spectral Theorem for bounded and unbounded self-adjoint operators; the Stone–von Neumann Theorem; the Wentzel–Kramers–Brillouin approximation; the role of Lie groups and Lie algebras in quantum mechanics; and the path-integral approach to quantum mechanics. The numerous exercises at the end of each chapter make the book suitable for both graduate courses and independent study. Most of the text is accessible to graduate students in mathematics who have had a first course in real analysis, covering the basics of L2 spaces and Hilbert spaces. The final chapters introduce readers who are familiar with the theory of manifolds to more advanced topics, including geometric quantization.

Recent Trends in Nonlinear Analysis

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Publisher : Birkhäuser
ISBN 13 : 3034884117
Total Pages : 261 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Recent Trends in Nonlinear Analysis by : Jürgen Appell

Download or read book Recent Trends in Nonlinear Analysis written by Jürgen Appell and published by Birkhäuser. This book was released on 2012-12-06 with total page 261 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book contains a collection of 21 original research papers which report on recent developments in various fields of nonlinear analysis. The collection covers a large variety of topics ranging from abstract fields such as algebraic topology, functional analysis, operator theory, spectral theory, analysis on manifolds, partial differential equations, boundary value problems, geometry of Banach spaces, measure theory, variational calculus, and integral equations, to more application-oriented fields like control theory, numerical analysis, mathematical physics, mathematical economy, and financial mathematics. The book is addressed to all specialists interested in nonlinear functional analysis and its applications, but also to postgraduate students who want to get in touch with this important field of modern analysis. It is dedicated to Alfonso Vignoli who has essentially contributed to the field, on the occasion of his sixtieth birthday.

Lie Groups, Lie Algebras, and Representations

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Publisher : Springer
ISBN 13 : 3319134671
Total Pages : 452 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis Lie Groups, Lie Algebras, and Representations by : Brian Hall

Download or read book Lie Groups, Lie Algebras, and Representations written by Brian Hall and published by Springer. This book was released on 2015-05-11 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook treats Lie groups, Lie algebras and their representations in an elementary but fully rigorous fashion requiring minimal prerequisites. In particular, the theory of matrix Lie groups and their Lie algebras is developed using only linear algebra, and more motivation and intuition for proofs is provided than in most classic texts on the subject. In addition to its accessible treatment of the basic theory of Lie groups and Lie algebras, the book is also noteworthy for including: a treatment of the Baker–Campbell–Hausdorff formula and its use in place of the Frobenius theorem to establish deeper results about the relationship between Lie groups and Lie algebras motivation for the machinery of roots, weights and the Weyl group via a concrete and detailed exposition of the representation theory of sl(3;C) an unconventional definition of semisimplicity that allows for a rapid development of the structure theory of semisimple Lie algebras a self-contained construction of the representations of compact groups, independent of Lie-algebraic arguments The second edition of Lie Groups, Lie Algebras, and Representations contains many substantial improvements and additions, among them: an entirely new part devoted to the structure and representation theory of compact Lie groups; a complete derivation of the main properties of root systems; the construction of finite-dimensional representations of semisimple Lie algebras has been elaborated; a treatment of universal enveloping algebras, including a proof of the Poincaré–Birkhoff–Witt theorem and the existence of Verma modules; complete proofs of the Weyl character formula, the Weyl dimension formula and the Kostant multiplicity formula. Review of the first edition: This is an excellent book. It deserves to, and undoubtedly will, become the standard text for early graduate courses in Lie group theory ... an important addition to the textbook literature ... it is highly recommended. — The Mathematical Gazette

Official Summary of Security Transactions and Holdings Reported to the Securities and Exchange Commission Under the Securities Exchange Act of 1934 and the Public Utility Holding Company Act of 1935

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Publisher :
ISBN 13 :
Total Pages : 264 pages
Book Rating : 4.:/5 (3 download)

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Book Synopsis Official Summary of Security Transactions and Holdings Reported to the Securities and Exchange Commission Under the Securities Exchange Act of 1934 and the Public Utility Holding Company Act of 1935 by :

Download or read book Official Summary of Security Transactions and Holdings Reported to the Securities and Exchange Commission Under the Securities Exchange Act of 1934 and the Public Utility Holding Company Act of 1935 written by and published by . This book was released on 1982 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Representation Theory and Complex Geometry

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Publisher : Birkhauser
ISBN 13 : 0817637923
Total Pages : 495 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Representation Theory and Complex Geometry by : Neil Chriss

Download or read book Representation Theory and Complex Geometry written by Neil Chriss and published by Birkhauser. This book was released on 1997 with total page 495 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume provides an overview of modern advances in representation theory from a geometric standpoint. The techniques developed are quite general and can be applied to other areas such as quantum groups, affine Lie groups, and quantum field theory.

Topological Vector Spaces, Distributions and Kernels

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Publisher : Elsevier
ISBN 13 : 1483223620
Total Pages : 582 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Topological Vector Spaces, Distributions and Kernels by : François Treves

Download or read book Topological Vector Spaces, Distributions and Kernels written by François Treves and published by Elsevier. This book was released on 2016-06-03 with total page 582 pages. Available in PDF, EPUB and Kindle. Book excerpt: Topological Vector Spaces, Distributions and Kernels discusses partial differential equations involving spaces of functions and space distributions. The book reviews the definitions of a vector space, of a topological space, and of the completion of a topological vector space. The text gives examples of Frechet spaces, Normable spaces, Banach spaces, or Hilbert spaces. The theory of Hilbert space is similar to finite dimensional Euclidean spaces in which they are complete and carry an inner product that can determine their properties. The text also explains the Hahn-Banach theorem, as well as the applications of the Banach-Steinhaus theorem and the Hilbert spaces. The book discusses topologies compatible with a duality, the theorem of Mackey, and reflexivity. The text describes nuclear spaces, the Kernels theorem and the nuclear operators in Hilbert spaces. Kernels and topological tensor products theory can be applied to linear partial differential equations where kernels, in this connection, as inverses (or as approximations of inverses), of differential operators. The book is suitable for vector mathematicians, for students in advanced mathematics and physics.

Prospects in Mathematics

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Publisher : American Mathematical Soc.
ISBN 13 : 9780821886205
Total Pages : 190 pages
Book Rating : 4.8/5 (862 download)

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Book Synopsis Prospects in Mathematics by : Hugo Rossi

Download or read book Prospects in Mathematics written by Hugo Rossi and published by American Mathematical Soc.. This book was released on with total page 190 pages. Available in PDF, EPUB and Kindle. Book excerpt: In celebration of Princeton University's 250th anniversary, the mathematics department held a conference entitled "Prospects in Mathematics". The purpose of the conference was to speculate on future directions of research in mathematics. This collection of articles provides a rich panorama of current mathematical activity in many research areas. From Gromov's lecture on quantitative differential topology to Witten's discussion of string theory, new ideas and techniques transfixed the audience of international mathematicians. The volume contains 11 articles by leading mathematicians, including historical presentations by J. Milnor and D. Spencer. It provides a guide to some of the most significant mathematical work of the past decade.

Mathematics for Chemists

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Publisher :
ISBN 13 : 9780820602523
Total Pages : 0 pages
Book Rating : 4.6/5 (25 download)

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Book Synopsis Mathematics for Chemists by : David Michael Hirst

Download or read book Mathematics for Chemists written by David Michael Hirst and published by . This book was released on 1979 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contents - Preface - 1. REVIEW OF BASIC MATERIAL - FUNCTIONS, INEQUALITIES - 2. DIFFERENTIAL CALCULUS - 3. INTEGRATION - 4. FUNCTIONS OF MANY VARIABLES ; PARTIAL DIFFERENTIATION - 5. VECTORS - 6. SERIES, TAYLOR-MACLAURIN SERIES - 7. COMPLEX NUMBERS - 8. ORTHOGONAL FUNCTIONS AND FOURIER SERIES - 9. DETERMINANTS - 10. MATRICES - 11. DIFFERENTIAL EQUATIONS - 12. PARTIAL DIFFERENTIAL EQUATIONS - 13. NUMERICAL METHODS - 14. ELEMENTARY STATISTICS AND ERROR ANALYSIS - Problems for Solution - Bibliography - Answers to Problems - Index

Maths for Chemists: Numbers, functions and calculus

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Publisher : Royal Society of Chemistry
ISBN 13 : 9780854046775
Total Pages : 196 pages
Book Rating : 4.0/5 (467 download)

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Book Synopsis Maths for Chemists: Numbers, functions and calculus by : Martin Cockett

Download or read book Maths for Chemists: Numbers, functions and calculus written by Martin Cockett and published by Royal Society of Chemistry. This book was released on 2003 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: An excellent resource for students who need support and understanding in working with the diverse mathematical tools required in a typical chemistry degree course.

Moduli of Abelian Varieties

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Publisher : Birkhäuser
ISBN 13 : 303488303X
Total Pages : 526 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Moduli of Abelian Varieties by : Gerard van der Geer

Download or read book Moduli of Abelian Varieties written by Gerard van der Geer and published by Birkhäuser. This book was released on 2012-12-06 with total page 526 pages. Available in PDF, EPUB and Kindle. Book excerpt: Abelian varieties and their moduli are a topic of increasing importance in today`s mathematics, applications ranging from algebraic geometry and number theory to mathematical physics. This collection of 17 refereed articles originates from the third "Texel Conference" held in 1999. Leading experts discuss and study the structure of the moduli spaces of abelian varieties and related spaces, giving an excellent view of the state of the art in this field.