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Rothe H.J., Rothe K.D. Classical and Quantum Dynamics of Constrained Hamiltonian Systems
World Scientific Publishing Company, 2010, 302 pages

World Scientific Lecture Notes in Physics
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.
The book is divided into two parts: part one, involving chapters 1 through 8, deals with the classical dynamics of constrained Hamiltonian systems, while the second part is devoted to their quantization. Here it is assumed that the reader is familiar with the Feynman path integral approach to quantization.
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