Geometric Formulation of 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 Geometric Formulation of Classical and Quantum Mechanics write by G. Giachetta. This book was released on 2011. Geometric Formulation of Classical and Quantum Mechanics available in PDF, EPUB and Kindle. The geometric formulation of autonomous Hamiltonian mechanics in the terms of symplectic and Poisson manifolds is generally accepted. This book provides the geometric formulation of non-autonomous mechanics in a general setting of time-dependent coordinate and reference frame transformations.
Symplectic Geometry and Quantum Mechanics
Symplectic Geometry 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 Symplectic Geometry and Quantum Mechanics write by Maurice A. de Gosson. This book was released on 2006-08-06. Symplectic Geometry and Quantum Mechanics available in PDF, EPUB and Kindle. 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.
Mathematical Topics Between Classical and Quantum Mechanics
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.
Geometrical Quantum Mechanics
Geometrical 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 Geometrical Quantum Mechanics write by Robert Geroch. This book was released on 2013-03-23. Geometrical Quantum Mechanics available in PDF, EPUB and Kindle. Geroch's lecture notes on geometrical quantum mechanics are divided into three parts - Differential Geometry, Mechanics, and Quantum Mechanics. The necessary geometrical ideas are presented in the first part of the book and are applied to mechanics and quantum mechanics in the second and third part. What also makes this book a valuable contribution to the existing textbooks on quantum physics is Geroch's unique approach to teaching theoretical and mathematical physics - the physical concepts and the mathematics, which describes them, are masterfully intertwined in such a way that both reinforce each other to facilitate the understanding of even the most abstract and subtle issues.
On Einstein’s Path
On Einstein’s Path - 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 On Einstein’s Path write by Alex Harvey. This book was released on 2012-12-06. On Einstein’s Path available in PDF, EPUB and Kindle. This collection of nearly forty essays in honor of the noted physicist and cosmologist Engelbert Schucking spans the gamut of research in Einsteins theory of general relativity and presents a lively and personal account of current work in the field. Indispensable for physicists involved in research in the field, the book includes important chapters by noted theorists such as A. Ashtekar, P.G. Bergmann, J. Ehlers, E.T. Newman, J.V. Narlikar, R. Penrose, D.W. Sciama, J. Stachel, and W. Rindler.
