A canonical quantization approach to classical field theory, this text is suitable for mathematicians interested in theoretical physics as well as to theoretical physicists who use differential geometric methods in their modelling. Introduces differential geometry, the theory of Lie groups, and progresses to discuss the systematic development of a covariant Hamiltonian formulation of field theory. 1988 edition.
The three-dimensional Heisenberg group, being a quite simple non-commutative Lie group, appears prominently in various applications of mathematics. The goal of this book is to present basic geometric and algebraic properties of the Heisenberg group and its relation to other important mathematical structures (the skew field of quaternions, symplectic structures, and representations) and to describe some of its applications. In particular, the authors address such subjects as signal analysis and processing, geometric optics, and quantization. In each case, the authors present necessary details of the applied topic being considered." "This book manages to encompass a large variety of topics being easily accessible in its fundamentals. It can be useful to students and researchers working in mathematics and in applied mathematics."--BOOK JACKET.
The Nazi Party leader behind Hitler’s violent rise to power offers a candid chronicle of his life and the early days of National Socialism in Germany. Ernst Röhm was one of the key architects behind the rise of the Nazi Party. From 1919 until 1923, following the defeat of Germany in the First World War, Röhm served in the Freikorps and then National Socialist German Workers’ Party—the Nazi Party. He served as the party’s patron, promoter, and watchdog. With Adolf Hitler, Röhm cofounded the SA, the thuggish workforce behind Nazi political activity. Many believe that Hitler’s rise to power would not have happened without Röhm’s organizational skill, authority, and influence. Though Röhm took part in the Beer Hall Putsch in 1923, he became disillusioned with the Nazi Party and resigned in 1925. Röhm wrote his memoirs in 1928—entitled A Traitor’s Story—the year he both resumed working for the Nazis and left to serve in the Bolivian army. In his candid recounting of his experiences, he wrote “Hitler and I were linked by ties of sincere friendship.” Little did Röhm know that their “friendship” would end with Hitler ordering his execution during the Night of the Long Knives.
The three-dimensional Heisenberg group, being a quite simple non-commutative Lie group, appears prominently in various applications of mathematics. The goal of this book is to present basic geometric and algebraic properties of the Heisenberg group and its relation to other important mathematical structures (the skew field of quaternions, symplectic structures, and representations) and to describe some of its applications. In particular, the authors address such subjects as signal analysis and processing, geometric optics, and quantization. In each case, the authors present necessary details of the applied topic being considered." "This book manages to encompass a large variety of topics being easily accessible in its fundamentals. It can be useful to students and researchers working in mathematics and in applied mathematics."--BOOK JACKET.
A canonical quantization approach to classical field theory, this text is suitable for mathematicians interested in theoretical physics as well as to theoretical physicists who use differential geometric methods in their modelling. Introduces differential geometry, the theory of Lie groups, and progresses to discuss the systematic development of a covariant Hamiltonian formulation of field theory. 1988 edition.
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