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Geometry of Quantum Theory

Geometry of Quantum Theory PDF Author: Veeravalli Seshadri Varadarajan
Publisher: Springer
ISBN: 9781461577089
Category : Science
Languages : en
Pages : 193

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Book Description
The present work is the first volume of a substantially enlarged version of the mimeographed notes of a course of lectures first given by me in the Indian Statistical Institute, Calcutta, India, during 1964-65. When it was suggested that these lectures be developed into a book, I readily agreed and took the opportunity to extend the scope of the material covered. No background in physics is in principle necessary for understand ing the essential ideas in this work. However, a high degree of mathematical maturity is certainly indispensable. It is safe to say that I aim at an audience composed of professional mathematicians, advanced graduate students, and, hopefully, the rapidly increasing group of mathematical physicists who are attracted to fundamental mathematical questions. Over the years, the mathematics of quantum theory has become more abstract and, consequently, simpler. Hilbert spaces have been used from the very beginning and, after Weyl and Wigner, group representations have come in conclusively. Recent discoveries seem to indicate that the role of group representations is destined for further expansion, not to speak of the impact of the theory of several complex variables and function-space analysis. But all of this pertains to the world of interacting subatomic particles; the more modest view of the microscopic world presented in this book requires somewhat less. The reader with a knowledge of abstract integration, Hilbert space theory, and topological groups will find the going easy.

Geometry of Quantum Theory

Geometry of Quantum Theory PDF Author: Veeravalli Seshadri Varadarajan
Publisher: Springer
ISBN: 9781461577089
Category : Science
Languages : en
Pages : 193

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Book Description
The present work is the first volume of a substantially enlarged version of the mimeographed notes of a course of lectures first given by me in the Indian Statistical Institute, Calcutta, India, during 1964-65. When it was suggested that these lectures be developed into a book, I readily agreed and took the opportunity to extend the scope of the material covered. No background in physics is in principle necessary for understand ing the essential ideas in this work. However, a high degree of mathematical maturity is certainly indispensable. It is safe to say that I aim at an audience composed of professional mathematicians, advanced graduate students, and, hopefully, the rapidly increasing group of mathematical physicists who are attracted to fundamental mathematical questions. Over the years, the mathematics of quantum theory has become more abstract and, consequently, simpler. Hilbert spaces have been used from the very beginning and, after Weyl and Wigner, group representations have come in conclusively. Recent discoveries seem to indicate that the role of group representations is destined for further expansion, not to speak of the impact of the theory of several complex variables and function-space analysis. But all of this pertains to the world of interacting subatomic particles; the more modest view of the microscopic world presented in this book requires somewhat less. The reader with a knowledge of abstract integration, Hilbert space theory, and topological groups will find the going easy.

Geometry of Quantum Theory

Geometry of Quantum Theory PDF Author: V.S. Varadarajan
Publisher: Springer Science & Business Media
ISBN: 0387493867
Category : Science
Languages : en
Pages : 412

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Book Description
Available for the first time in soft cover, this book is a classic on the foundations of quantum theory. It examines the subject from a point of view that goes back to Heisenberg and Dirac and whose definitive mathematical formulation is due to von Neumann. This view leads most naturally to the fundamental questions that are at the basis of all attempts to understand the world of atomic and subatomic particles.

Quantum Physics and Geometry

Quantum Physics and Geometry PDF Author: Edoardo Ballico
Publisher: Springer
ISBN: 3030061221
Category : Science
Languages : en
Pages : 173

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Book Description
This book collects independent contributions on current developments in quantum information theory, a very interdisciplinary field at the intersection of physics, computer science and mathematics. Making intense use of the most advanced concepts from each discipline, the authors give in each contribution pedagogical introductions to the main concepts underlying their present research and present a personal perspective on some of the most exciting open problems. Keeping this diverse audience in mind, special efforts have been made to ensure that the basic concepts underlying quantum information are covered in an understandable way for mathematical readers, who can find there new open challenges for their research. At the same time, the volume can also be of use to physicists wishing to learn advanced mathematical tools, especially of differential and algebraic geometric nature.

From Geometry to Quantum Mechanics

From Geometry to Quantum Mechanics PDF Author: Yoshiaki Maeda
Publisher: Springer Science & Business Media
ISBN: 0817645306
Category : Mathematics
Languages : en
Pages : 324

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Book Description
* Invited articles in differential geometry and mathematical physics in honor of Hideki Omori * Focus on recent trends and future directions in symplectic and Poisson geometry, global analysis, Lie group theory, quantizations and noncommutative geometry, as well as applications of PDEs and variational methods to geometry * Will appeal to graduate students in mathematics and quantum mechanics; also a reference

Geometry of Quantum Theory

Geometry of Quantum Theory PDF Author: V.S. Varadarajan
Publisher: Springer Science & Business Media
ISBN: 1461577063
Category : Science
Languages : en
Pages : 193

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Book Description
The present work is the first volume of a substantially enlarged version of the mimeographed notes of a course of lectures first given by me in the Indian Statistical Institute, Calcutta, India, during 1964-65. When it was suggested that these lectures be developed into a book, I readily agreed and took the opportunity to extend the scope of the material covered. No background in physics is in principle necessary for understand ing the essential ideas in this work. However, a high degree of mathematical maturity is certainly indispensable. It is safe to say that I aim at an audience composed of professional mathematicians, advanced graduate students, and, hopefully, the rapidly increasing group of mathematical physicists who are attracted to fundamental mathematical questions. Over the years, the mathematics of quantum theory has become more abstract and, consequently, simpler. Hilbert spaces have been used from the very beginning and, after Weyl and Wigner, group representations have come in conclusively. Recent discoveries seem to indicate that the role of group representations is destined for further expansion, not to speak of the impact of the theory of several complex variables and function-space analysis. But all of this pertains to the world of interacting subatomic particles; the more modest view of the microscopic world presented in this book requires somewhat less. The reader with a knowledge of abstract integration, Hilbert space theory, and topological groups will find the going easy.

Geometry of Quantum Theory

Geometry of Quantum Theory PDF Author: V. S. Varadarajan
Publisher:
ISBN: 9781489905536
Category :
Languages : en
Pages : 432

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Book Description


Non-Relativistic Quantum Theory

Non-Relativistic Quantum Theory PDF Author: Kai S Lam
Publisher: World Scientific Publishing Company
ISBN: 9813107480
Category : Science
Languages : en
Pages : 460

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Book Description
This textbook is mainly for physics students at the advanced undergraduate and beginning graduate levels, especially those with a theoretical inclination. Its chief purpose is to give a systematic introduction to the main ingredients of the fundamentals of quantum theory, with special emphasis on those aspects of group theory (spacetime and permutational symmetries and group representations) and differential geometry (geometrical phases, topological quantum numbers, and Chern–Simons Theory) that are relevant in modern developments of the subject. It will provide students with an overview of key elements of the theory, as well as a solid preparation in calculational techniques.

Symplectic Geometry and Quantum Mechanics

Symplectic Geometry and Quantum Mechanics PDF Author: Maurice A. de Gosson
Publisher: Springer Science & Business Media
ISBN: 3764375752
Category : Mathematics
Languages : en
Pages : 368

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Book Description
This book offers a complete discussion of techniques and topics intervening in the mathematical treatment of quantum and semi-classical mechanics. It starts with a very readable introduction to symplectic geometry. Many topics are also of genuine interest for pure mathematicians working in geometry and topology.

Quantum Mechanics, Quantum Field Theory

Quantum Mechanics, Quantum Field Theory PDF Author: R. Mirman
Publisher: iUniverse
ISBN: 0595336906
Category : Science
Languages : en
Pages : 344

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Book Description
The author does not want a book description on the back cover.

Geometry of Quantum Theory, By V.S. Varadarajan

Geometry of Quantum Theory, By V.S. Varadarajan PDF Author: V.S. Varadarajan
Publisher:
ISBN:
Category : Quantum theory
Languages : en
Pages :

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