Modern Mathematical Methods of Quantum Theory : An Introduction with Functional Analysis, Banach Algebras, and Functional Calculus
Language: English
Published by Springer Nature Switzerland AG Nov 2026, 2026
- Hardcover
- New
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Druck auf Anfrage Neuware - Printed after ordering - This book focuses on providing the functional analytic basis for quantum theory, including the functional calculi for densely-defined, linear, and self-adjoint operators in complex Hilbert spaces. The field of functional analysis focuses on the study of infinite dimensional vector spaces. Since its creation in the beginning of the 20th century, it has developed into a vast field, providing the mathematical foundation for quantum theory, including the theory of relativistic quantum fields, the basis for operator theory, the theory of partial differential equations, and the theory of distributions. The author uses an approach that employs Banach algebra methods, which provides a foundation for the theory of operator algebras as well as applications in the theory of relativistic quantum fields. The book develops the basic theory of Banach algebras up to the proof of the Gelfand-Naimark theorem and uses the latter theorem for the definition of the continuous functional calculus for bounded normal operators. Full solutions to the presented problems are included, and the majority of the corresponding results are used throughout the book.…
Seller Inventory # 9783032401533
- Title
- Modern Mathematical Methods of Quantum Theory : An Introduction with Functional Analysis, Banach Algebras, and Functional Calculus
- Author
- Horst Reinhard Beyer
- Publisher
- Springer Nature Switzerland AG Nov 2026
- Publication year
- 2026
- Condition
- Neu
- Binding
- Buch
- Language
- English
- ISBN 10
- 3032401534
- ISBN 13
- 9783032401533
- Dimensions
- 240x168x0 mm
This book focuses on providing the functional analytic basis for quantum theory, including the functional calculi for densely-defined, linear, and self-adjoint operators in complex Hilbert spaces. The field of functional analysis focuses on the study of infinite dimensional vector spaces. Since its creation in the beginning of the 20th century, it has developed into a vast field, providing the mathematical foundation for quantum theory, including the theory of relativistic quantum fields, the basis for operator theory, the theory of partial differential equations, and the theory of distributions. The author uses an approach that employs Banach algebra methods, which provides a foundation for the theory of operator algebras as well as applications in the theory of relativistic quantum fields. The book develops the basic theory of Banach algebras up to the proof of the Gelfand-Naimark theorem and uses the latter theorem for the definition of the continuous functional calculus for bounded normal operators. Full solutions to the presented problems are included, and the majority of the corresponding results are used throughout the book.
"Synopsis" may belong to another edition of this title.
About the Author
Horst R. Beyer, Ph.D., is currently affiliated with the University of Tuebingen Institute for Astronomy and Astrophysics, Theoretical Astrophysics Division. Dr. Beyer has written nine books and 39 published articles. His research interests include mathematical physics, in particular the applications of operator theory in quantum field theory, general relativity, astrophysics, and the engineering sciences.
"About the title" may belong to another edition of this title.
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