Algebra of Quantics
Author: Edwin B. Elliott
Publisher: American Mathematical Soc.
Published: 1964
Total Pages: 444
ISBN-13: 9780828401845
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An Introduction to the Algebra of Quantics
Author: Edwin Bailey Elliott
Publisher:
Published: 1895
Total Pages: 456
ISBN-13:
DOWNLOAD EBOOKOperator Algebras and Quantum Statistical Mechanics 1
Author: Ola Bratteli
Publisher: Springer Science & Business Media
Published: 1987
Total Pages: 528
ISBN-13: 9783540170938
DOWNLOAD EBOOKThis is the first of two volumes presenting the theory of operator algebras with applications to quantum statistical mechanics. The authors' approach to the operator theory is to a large extent governed by the dictates of the physical applications. The book is self-contained and most proofs are presented in detail, which makes it a useful text for students with a knowledge of basic functional analysis. The introductory chapter surveys the history and justification of algebraic techniques in statistical physics and outlines the applications that have been made. The second edition contains new and improved results. The principal changes include: A more comprehensive discussion of dissipative operators and analytic elements; the positive resolution of the question of whether maximal orthogonal probability measure on the state space of C-algebra were automatically maximal along all the probability measures on the space.
The Algebra of Invariants
Author: John Hilton Grace
Publisher:
Published: 1903
Total Pages: 410
ISBN-13:
DOWNLOAD EBOOKFactorization Algebras in Quantum Field Theory
Author: Kevin Costello
Publisher: Cambridge University Press
Published: 2017
Total Pages: 399
ISBN-13: 1107163102
DOWNLOAD EBOOKThis first volume develops factorization algebras with a focus upon examples exhibiting their use in field theory, which will be useful for researchers and graduates.
Mathematics of Classical and Quantum Physics
Author: Frederick W. Byron
Publisher: Courier Corporation
Published: 2012-04-26
Total Pages: 674
ISBN-13: 0486135063
DOWNLOAD EBOOKGraduate-level text offers unified treatment of mathematics applicable to many branches of physics. Theory of vector spaces, analytic function theory, theory of integral equations, group theory, and more. Many problems. Bibliography.
Quantum Logic in Algebraic Approach
Author: Miklós Rédei
Publisher: Springer Science & Business Media
Published: 2013-03-09
Total Pages: 244
ISBN-13: 9401590265
DOWNLOAD EBOOKThis work has grown out of the lecture notes that were prepared for a series of seminars on some selected topics in quantum logic. The seminars were delivered during the first semester of the 1993/1994 academic year in the Unit for Foundations of Science of the Department of History and Foundations of Mathematics and Science, Faculty of Physics, Utrecht University, The Netherlands, while I was staying in that Unit on a European Community Research Grant, and in the Center for Philosophy of Science, University of Pittsburgh, U. S. A. , where I was staying during the 1994/1995 academic year as a Visiting Fellow on a Fulbright Research Grant, and where I also was supported by the Istvan Szechenyi Scholarship Foundation. The financial support provided by these foundations, by the Center for Philosophy of Science and by the European Community is greatly acknowledged, and I wish to thank D. Dieks, the professor of the Foundations Group in Utrecht and G. Massey, the director of the Center for Philosophy of Science in Pittsburgh for making my stay at the respective institutions possible. I also wish to thank both the members of the Foundations Group in Utrecht, especially D. Dieks, C. Lutz, F. Muller, J. Uffink and P. Vermaas and the participants in the seminars at the Center for Philosophy of Science in Pittsburgh, especially N. Belnap, J. Earman, A. Janis, J. Norton, and J.
Quantum Computing
Author: Mikio Nakahara
Publisher: CRC Press
Published: 2008-03-11
Total Pages: 439
ISBN-13: 1420012290
DOWNLOAD EBOOKCovering both theory and progressive experiments, Quantum Computing: From Linear Algebra to Physical Realizations explains how and why superposition and entanglement provide the enormous computational power in quantum computing. This self-contained, classroom-tested book is divided into two sections, with the first devoted to the theoretical aspect
Quantum Theory for Mathematicians
Author: Brian C. Hall
Publisher: Springer Science & Business Media
Published: 2013-06-19
Total Pages: 566
ISBN-13: 1461471168
DOWNLOAD EBOOKAlthough 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.
The Theory of Quantum Information
Author: John Watrous
Publisher:
Published: 2018-04-26
Total Pages: 599
ISBN-13: 1107180562
DOWNLOAD EBOOKFormal development of the mathematical theory of quantum information with clear proofs and exercises. For graduate students and researchers.
