Quaternionic Quantum Mechanics and Quantum Fields - 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 Quaternionic Quantum Mechanics and Quantum Fields write by Stephen L. Adler. This book was released on 1995-04-27. Quaternionic Quantum Mechanics and Quantum Fields available in PDF, EPUB and Kindle. It has been known since the 1930s that quantum mechanics can be formulated in quaternionic as well as complex Hilbert space. But systematic work on the quaternionic extension of standard quantum mechanics has scarcely begun. Authored by a world-renowned theoretical physicist, this book signals a major conceptual advance and gives a detailed development and exposition of quaternionic quantum mechanics for the purpose of determining whether quaternionic Hilbert space is the appropriate arena for the long sought-after unification of the standard model forces with gravitation. Significant results from earlier literature, together with many new results obtained by the author, are integrated to give a coherent picture of the subject. The book also provides an introduction to the problem of formulating quantum field theories in quaternionic Hilbert space. The book concludes with a chapter devoted to discussions on where quaternionic quantum mechanics may fit into the physics of unification, experimental and measurement theory issues, and the many open questions that still challenge the field. This well-written treatise is a very significant contribution to theoretical physics. It will be eagerly read by a wide range of physicists.
Quaternionic Quantum Mechanics and Quantum Fields
Quaternionic Quantum Mechanics and Quantum Fields - 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 Quaternionic Quantum Mechanics and Quantum Fields write by Stephen L. Adler. This book was released on 2023. Quaternionic Quantum Mechanics and Quantum Fields available in PDF, EPUB and Kindle. Presenting a conceptualization of quantum mechanics, using quaternions instead of complex numbers, the author gives a systematic treatment of quaternionic quantum mechanics paralleling the standard textbook treatment of complex quantum mechanics.
Noncommutative Geometry, Quantum Fields and Motives
Noncommutative Geometry, Quantum Fields and Motives - 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 Noncommutative Geometry, Quantum Fields and Motives write by Alain Connes. This book was released on 2019-03-13. Noncommutative Geometry, Quantum Fields and Motives available in PDF, EPUB and Kindle. The unifying theme of this book is the interplay among noncommutative geometry, physics, and number theory. The two main objects of investigation are spaces where both the noncommutative and the motivic aspects come to play a role: space-time, where the guiding principle is the problem of developing a quantum theory of gravity, and the space of primes, where one can regard the Riemann Hypothesis as a long-standing problem motivating the development of new geometric tools. The book stresses the relevance of noncommutative geometry in dealing with these two spaces. The first part of the book deals with quantum field theory and the geometric structure of renormalization as a Riemann-Hilbert correspondence. It also presents a model of elementary particle physics based on noncommutative geometry. The main result is a complete derivation of the full Standard Model Lagrangian from a very simple mathematical input. Other topics covered in the first part of the book are a noncommutative geometry model of dimensional regularization and its role in anomaly computations, and a brief introduction to motives and their conjectural relation to quantum field theory. The second part of the book gives an interpretation of the Weil explicit formula as a trace formula and a spectral realization of the zeros of the Riemann zeta function. This is based on the noncommutative geometry of the adèle class space, which is also described as the space of commensurability classes of Q-lattices, and is dual to a noncommutative motive (endomotive) whose cyclic homology provides a general setting for spectral realizations of zeros of L-functions. The quantum statistical mechanics of the space of Q-lattices, in one and two dimensions, exhibits spontaneous symmetry breaking. In the low-temperature regime, the equilibrium states of the corresponding systems are related to points of classical moduli spaces and the symmetries to the class field theory of the field of rational numbers and of imaginary quadratic fields, as well as to the automorphisms of the field of modular functions. The book ends with a set of analogies between the noncommutative geometries underlying the mathematical formulation of the Standard Model minimally coupled to gravity and the moduli spaces of Q-lattices used in the study of the zeta function.
Quantum Mechanics of Fundamental Systems 1
Quantum Mechanics of Fundamental Systems 1 - 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 of Fundamental Systems 1 write by Claudio Teitelboim. This book was released on 1988-07-31. Quantum Mechanics of Fundamental Systems 1 available in PDF, EPUB and Kindle.
Adventures in Theoretical Physics
Adventures in Theoretical 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 Adventures in Theoretical Physics write by Stephen L. Adler. This book was released on 2006. Adventures in Theoretical Physics available in PDF, EPUB and Kindle. During the period 1964-1972, Stephen L. Adler wrote seminal papers on high energy neutrino processes, current algebras, soft pion theorems, sum rules, and perturbation theory anomalies that helped lay the foundations for our current standard model of elementary particle physics. These papers are reprinted here together with detailed historical commentaries describing how they evolved, their relation to other work in the field, and their connection to recent literature. Later important work by Dr. Adler on a wide range of topics in fundamental theory, phenomenology, and numerical methods, and their related historical background, is also covered in the commentaries and reprints. This book will be a valuable resource for graduate students and researchers in the fields in which Dr. Adler has worked, and for historians of science studying physics in the final third of the twentieth century, a period in which an enduring synthesis was achieved.
