The Mathematical Language of Quantum Theory

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Release : 2011-12-15
Genre : Science
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Book Rating : 995/5 ( reviews)

The Mathematical Language of Quantum Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The Mathematical Language of Quantum Theory write by Teiko Heinosaari. This book was released on 2011-12-15. The Mathematical Language of Quantum Theory available in PDF, EPUB and Kindle. For almost every student of physics, the first course on quantum theory raises a lot of puzzling questions and creates a very uncertain picture of the quantum world. This book presents a clear and detailed exposition of the fundamental concepts of quantum theory: states, effects, observables, channels and instruments. It introduces several up-to-date topics, such as state discrimination, quantum tomography, measurement disturbance and entanglement distillation. A separate chapter is devoted to quantum entanglement. The theory is illustrated with numerous examples, reflecting recent developments in the field. The treatment emphasises quantum information, though its general approach makes it a useful resource for graduate students and researchers in all subfields of quantum theory. Focusing on mathematically precise formulations, the book summarises the relevant mathematics.

Quantum Theory for Mathematicians

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Release : 2013-06-19
Genre : Science
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Book Rating : 168/5 ( reviews)

Quantum Theory for Mathematicians - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Quantum Theory for Mathematicians write by Brian C. Hall. This book was released on 2013-06-19. Quantum Theory for Mathematicians available in PDF, EPUB and Kindle. 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.

Mathematical Concepts of Quantum Mechanics

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Release : 2011-09-24
Genre : Mathematics
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Book Rating : 660/5 ( reviews)

Mathematical Concepts of Quantum Mechanics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Mathematical Concepts of Quantum Mechanics write by Stephen J. Gustafson. This book was released on 2011-09-24. Mathematical Concepts of Quantum Mechanics available in PDF, EPUB and Kindle. The book gives a streamlined introduction to quantum mechanics while describing the basic mathematical structures underpinning this discipline. Starting with an overview of key physical experiments illustrating the origin of the physical foundations, the book proceeds with a description of the basic notions of quantum mechanics and their mathematical content. It then makes its way to topics of current interest, specifically those in which mathematics plays an important role. The more advanced topics presented include many-body systems, modern perturbation theory, path integrals, the theory of resonances, quantum statistics, mean-field theory, second quantization, the theory of radiation (non-relativistic quantum electrodynamics), and the renormalization group. With different selections of chapters, the book can serve as a text for an introductory, intermediate, or advanced course in quantum mechanics. The last four chapters could also serve as an introductory course in quantum field theory.

Mathematics of Classical and Quantum Physics

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Release : 2012-04-26
Genre : Science
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Book Rating : 063/5 ( reviews)

Mathematics of Classical and Quantum Physics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Mathematics of Classical and Quantum Physics write by Frederick W. Byron. This book was released on 2012-04-26. Mathematics of Classical and Quantum Physics available in PDF, EPUB and Kindle. Graduate-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.

The Mathematical Principles of Quantum Mechanics

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Release : 2005-01-01
Genre : Science
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Book Rating : 233/5 ( reviews)

The Mathematical Principles of Quantum Mechanics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The Mathematical Principles of Quantum Mechanics write by Derek F. Lawden. This book was released on 2005-01-01. The Mathematical Principles of Quantum Mechanics available in PDF, EPUB and Kindle. Focusing on the principles of quantum mechanics, this text for upper-level undergraduates and graduate students introduces and resolves special physical problems with more than 100 exercises. 1967 edition.