Classical and Quantum Dynamics of Constrained Hamiltonian Systems - 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 Classical and Quantum Dynamics of Constrained Hamiltonian Systems write by Heinz J. Rothe. This book was released on 2010. Classical and Quantum Dynamics of Constrained Hamiltonian Systems available in PDF, EPUB and Kindle. This book is an introduction to the field of constrained Hamiltonian systems and their quantization, a topic which is of central interest to theoretical physicists who wish to obtain a deeper understanding of the quantization of gauge theories, such as describing the fundamental interactions in nature. Beginning with the early work of Dirac, the book covers the main developments in the field up to more recent topics, such as the field-antifield formalism of Batalin and Vilkovisky, including a short discussion of how gauge anomalies may be incorporated into this formalism. The book is comprehensive and well-illustrated with examples, enables graduate students to follow the literature on this subject without much problems, and to perform research in this field.
Classical and Quantum Dynamics
Classical and Quantum Dynamics - 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 Classical and Quantum Dynamics write by Walter Dittrich. This book was released on 2020-02-06. Classical and Quantum Dynamics available in PDF, EPUB and Kindle. Graduate students seeking to become familiar with advanced computational strategies in classical and quantum dynamics will find in this book both the fundamentals of a standard course and a detailed treatment of the time-dependent oscillator, Chern-Simons mechanics, the Maslov anomaly and the Berry phase, to name just a few topics. Well-chosen and detailed examples illustrate perturbation theory, canonical transformations and the action principle, and demonstrate the usage of path integrals. The sixth edition has been enlarged to include the Heisenberg-Euler Lagrangian, Schwinger’s source theory treatment of the low-energy π-ρ-N physics and general relativity, where Riemann’s (Einstein’s) ideas on space and time and their philosophical implications are discussed.
Classical And Quantum Dynamics Of Constrained Hamiltonian Systems
Classical And Quantum Dynamics Of Constrained Hamiltonian Systems - 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 Classical And Quantum Dynamics Of Constrained Hamiltonian Systems write by Heinz J Rothe. This book was released on 2010-04-14. Classical And Quantum Dynamics Of Constrained Hamiltonian Systems available in PDF, EPUB and Kindle. This book is an introduction to the field of constrained Hamiltonian systems and their quantization, a topic which is of central interest to theoretical physicists who wish to obtain a deeper understanding of the quantization of gauge theories, such as describing the fundamental interactions in nature. Beginning with the early work of Dirac, the book covers the main developments in the field up to more recent topics, such as the field-antifield formalism of Batalin and Vilkovisky, including a short discussion of how gauge anomalies may be incorporated into this formalism. All topics are well illustrated with examples emphasizing points of central interest. The book should enable graduate students to follow the literature on this subject without much problems, and to perform research in this field.
Lagrangian and Hamiltonian Dynamics
Lagrangian and Hamiltonian Dynamics - 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 Lagrangian and Hamiltonian Dynamics write by Peter Mann. This book was released on 2018-05-10. Lagrangian and Hamiltonian Dynamics available in PDF, EPUB and Kindle. An introductory textbook exploring the subject of Lagrangian and Hamiltonian dynamics, with a relaxed and self-contained setting. Lagrangian and Hamiltonian dynamics is the continuation of Newton's classical physics into new formalisms, each highlighting novel aspects of mechanics that gradually build in complexity to form the basis for almost all of theoretical physics. Lagrangian and Hamiltonian dynamics also acts as a gateway to more abstract concepts routed in differential geometry and field theories and can be used to introduce these subject areas to newcomers. Journeying in a self-contained manner from the very basics, through the fundamentals and onwards to the cutting edge of the subject, along the way the reader is supported by all the necessary background mathematics, fully worked examples, thoughtful and vibrant illustrations as well as an informal narrative and numerous fresh, modern and inter-disciplinary applications. The book contains some unusual topics for a classical mechanics textbook. Most notable examples include the 'classical wavefunction', Koopman-von Neumann theory, classical density functional theories, the 'vakonomic' variational principle for non-holonomic constraints, the Gibbs-Appell equations, classical path integrals, Nambu brackets and the full framing of mechanics in the language of differential geometry.
Quantum versus Classical Mechanics and Integrability Problems
Quantum versus Classical Mechanics and Integrability Problems - 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 versus Classical Mechanics and Integrability Problems write by Maciej Błaszak. This book was released on 2019-06-11. Quantum versus Classical Mechanics and Integrability Problems available in PDF, EPUB and Kindle. This accessible monograph introduces physicists to the general relation between classical and quantum mechanics based on the mathematical idea of deformation quantization and describes an original approach to the theory of quantum integrable systems developed by the author.The first goal of the book is to develop of a common, coordinate free formulation of classical and quantum Hamiltonian mechanics, framed in common mathematical language.In particular, a coordinate free model of quantum Hamiltonian systems in Riemannian spaces is formulated, based on the mathematical idea of deformation quantization, as a complete physical theory with an appropriate mathematical accuracy.The second goal is to develop of a theory which allows for a deeper understanding of classical and quantum integrability. For this reason the modern separability theory on both classical and quantum level is presented. In particular, the book presents a modern geometric separability theory, based on bi-Poissonian and bi-presymplectic representations of finite dimensional Liouville integrable systems and their admissible separable quantizations.The book contains also a generalized theory of classical Stäckel transforms and the discussion of the concept of quantum trajectories.In order to make the text consistent and self-contained, the book starts with a compact overview of mathematical tools necessary for understanding the remaining part of the book. However, because the book is dedicated mainly to physicists, despite its mathematical nature, it refrains from highlighting definitions, theorems or lemmas.Nevertheless, all statements presented are either proved or the reader is referred to the literature where the proof is available.
