Mathematical Topics Between Classical and 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 Topics Between Classical and Quantum Mechanics write by Nicholas P. Landsman. This book was released on 2012-12-06. Mathematical Topics Between Classical and Quantum Mechanics available in PDF, EPUB and Kindle. This monograph draws on two traditions: the algebraic formulation of quantum mechanics as well as quantum field theory, and the geometric theory of classical mechanics. These are combined in a unified treatment of the theory of Poisson algebras of observables and pure state spaces with a transition probability, which leads on to a discussion of the theory of quantization and the classical limit from this perspective. A prototype of quantization comes from the analogy between the C*- algebra of a Lie groupoid and the Poisson algebra of the corresponding Lie algebroid. The parallel between reduction of symplectic manifolds in classical mechanics and induced representations of groups and C*- algebras in quantum mechanics plays an equally important role. Examples from physics include constrained quantization, curved spaces, magnetic monopoles, gauge theories, massless particles, and $theta$- vacua. Accessible to mathematicians with some prior knowledge of classical and quantum mechanics, and to mathematical physicists and theoretical physicists with some background in functional analysis.
Mathematics of Classical and Quantum Physics
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.
Mathematical Concepts of Quantum Mechanics
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.
Quantum Mechanics for Mathematicians
Quantum Mechanics 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 Mechanics for Mathematicians write by Leon Armenovich Takhtadzhi͡an. This book was released on 2008. Quantum Mechanics for Mathematicians available in PDF, EPUB and Kindle. Presents a comprehensive treatment of quantum mechanics from a mathematics perspective. Including traditional topics, like classical mechanics, mathematical foundations of quantum mechanics, quantization, and the Schrodinger equation, this book gives a mathematical treatment of systems of identical particles with spin.
Quantum Theory for Mathematicians
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.
