This book presents a comprehensive mathematical study of the operators behind the Born–Jordan quantization scheme. The Schrödinger and Heisenberg pictures of quantum mechanics are equivalent only if the Born–Jordan scheme is used. Thus, Born–Jordan quantization provides the only physically consistent quantization scheme, as opposed to the Weyl quantization commonly used by physicists. In this book we develop Born–Jordan quantization from an operator-theoretical point of view, and analyze in depth the conceptual differences between the two schemes. We discuss various physically motivated approaches, in particular the Feynman-integral point of view. One important and intriguing feature of Born-Jordan quantization is that it is not one-to-one: there are infinitely many classical observables whose quantization is zero.
It All Started in Nazareth is about the author’s life in Palestine, then in Beirut, where classmates, teachers and life offered wide horizons. An appointment as head of the Jordan Phosphate Mines Company at age 25 followed, with new experiences among the Jordanian elite of the time and the politics of the country. In the 1950, 60s and 70s, the world of business in the Arab region was exciting and challenging. New job types emerged and required new approaches. The discovery of oil created unbelievable wealth, which changed economies and societies throughout the region. During his career as a management consultant, he held jobs in Kuwait, Saudi Arabia, Jordan, Lebanon among other places. Throughout the period of his work, political instabilities were dominant in social and business life. It was a journey of success, frustration and learning. The Arab region has been troubled politically and socially since the victors of WWI divided the Ottoman provinces into small, weak areas of British and French influence, sowing uncertainties in the new nation-states. The resulting Middle East suffers to this day from the momentous effect of the Sykes-Picot agreement.
Elegant and concise, this text explores properties of meromorphic functions, Picard theorem, harmonic and subharmonic functions, applications, and boundary behavior of the Riemann mapping function for simply connected Jordan regions. 1962 edition.
The emergence of quantum mechanics from classical world mechanics is now a well-established theme in mathematical physics. This book demonstrates that quantum mechanics can indeed be viewed as a refinement of Hamiltonian mechanics, and builds on the work of George Mackey in relation to their mathematical foundations. Additionally when looking at the differences with classical mechanics, quantum mechanics crucially depends on the value of Planck's constant h. Recent cosmological observations tend to indicate that not only the fine structure constant α but also h might have varied in both time and space since the Big Bang. We explore the mathematical and physical consequences of a variation of h; surprisingly we see that a decrease of h leads to transitions from the quantum to the classical.Emergence of the Quantum from the Classical provides help to undergraduate and graduate students of mathematics, physics and quantum theory looking to advance into research in the field.
Quantum mechanics is arguably one of the most successful scientific theories ever and its applications to chemistry, optics, and information theory are innumerable. This book provides the reader with a rigorous treatment of the main mathematical tools from harmonic analysis which play an essential role in the modern formulation of quantum mechanics. This allows us at the same time to suggest some new ideas and methods, with a special focus on topics such as the Wigner phase space formalism and its applications to the theory of the density operator and its entanglement properties. This book can be used with profit by advanced undergraduate students in mathematics and physics, as well as by confirmed researchers.
This book nds its origin in the WIDE PhD School on Networked Control Systems, which we organized in July 2009 in Siena, Italy. Having gathered experts on all the aspects of networked control systems, it was a small step to go from the summer school to the book, certainly given the enthusiasm of the lecturers at the school. We felt that a book collecting overviewson the important developmentsand open pr- lems in the eld of networked control systems could stimulate and support future research in this appealing area. Given the tremendouscurrentinterests in distributed control exploiting wired and wireless communication networks, the time seemed to be right for the book that lies now in front of you. The goal of the book is to set out the core techniques and tools that are ava- able for the modeling, analysis and design of networked control systems. Roughly speaking, the book consists of three parts. The rst part presents architectures for distributed control systems and models of wired and wireless communication n- works. In particular, in the rst chapter important technological and architectural aspects on distributed control systems are discussed. The second chapter provides insight in the behavior of communication channels in terms of delays, packet loss and information constraints leading to suitable modeling paradigms for commu- cation networks.
This dynamic text, cases, & materials book provides a thought-provoking guide to the public law of the UK. It sets out key institutions, legal principles, and conventions and its clear commentary draws on case studies and extracts from a range of sources to provide a full understanding of the law and the major theoretical and political debates.
An elementary text that can be understood by anyone with a background in high school geometry, Invitation to Combinatorial Topology offers a stimulating initiation to important topological ideas. This translation from the original French does full justice to the text's coherent presentation as well as to its rich historical content. Subjects include the problems inherent to coloring maps, homeomorphism, applications of Descartes' theorem, and topological polygons. Considerations of the topological classification of closed surfaces cover elementary operations, use of normal forms of polyhedra, reduction to normal form, and application to the geometric theory of functions. 1967 edition. 108 figures. Bibliography. Index.
In the case Hunt v. Arnold, Barbara Hunt, Myra Dinsmore, and Iris Welch won a groundbreaking federal injunction against the all-white Georgia State College in downtown Atlanta. In contrast to the widespread coverage of the University of Georgia case, the plaintiffs in this case, along with local activists involved in the case and the court victory itself, have been overlooked in civil rights history. Daniels sheds light on this forgotten piece of the fight to end segregation in the state of Georgia" --
A reissued classic that examines the structure and themes of each of Hitchcock’s British feature films. Originally published in 1977 and long out of print, Maurice Yacowar’s Hitchcock’s British Films was the first volume devoted solely to the twenty-three films directed by Alfred Hitchcock in his native England before he came to the United States. As such, it was the first book to challenge the assumption that Hitchcock’s "mature" period in Hollywood, from the late 1940s to the early 1960s, represented the director’s best work. In this traditional auteurist examination of Hitchcock’s early work, author Maurice Yacowar considers Hitchcock’s British films in chronological order, reads the composition of individual shots and scenes in each, and pays special attention to the films’ verbal effects. Yacowar’s readings remain compelling more than thirty years after they were written, and some—on Downhill, Champagne, and Waltzes from Vienna—are among the few extended interpretations of these films that exist. Alongside important works such as Murder!, the first The Man Who Knew Too Much, Secret Agent, The Lady Vanishes, and Blackmail, readers will appreciate Yacowar’s equal attention to lesser-known films like The Pleasure Garden, The Ring, and The Manxman. Yacowar dissects Hitchcock’s precise staging and technical production to draw out ethical themes and metaphysical meanings of each film, while keeping a close eye on the source material, such as novels and plays, that Hitchcock used as the inspiration for many of his screenplays. Yacowar concludes with an overview of Hitchcock as auteur and an appendix identifying the director’s appearances in these films. A foreword by Barry Keith Grant and a preface to the second edition from Yacowar complete this comprehensive volume. Anyone interested in Hitchcock, classic British cinema, or the history of film will appreciate Yacowar’s accessible and often witty exploration of the director’s early work.
This book provides an in-depth and rigorous study of the Wigner transform and its variants. They are presented first within a context of a general mathematical framework, and then through applications to quantum mechanics. The Wigner transform was introduced by Eugene Wigner in 1932 as a probability quasi-distribution which allows expression of quantum mechanical expectation values in the same form as the averages of classical statistical mechanics. It is also used in signal processing as a transform in time-frequency analysis, closely related to the windowed Gabor transform.Written for advanced-level students and professors in mathematics and mathematical physics, it is designed as a complete textbook course providing analysis on the most important research on the subject to date. Due to the advanced nature of the content, it is also suitable for research mathematicians, engineers and chemists active in the field.
Investigates the transformative period in the history of the Jews of Libya (1938-52). This book reveals the capacity of Libyan Jewry to adapt to and integrate into environments without losing its historical traditions.
A parade of luminaries marches through Maury Atkin's fascinating memoir. We meet Israeli president Chaim Weizmann, Jerusalem mayor Teddy Kolleck, and the economist Robert Nathan, not to mention a slew of alligators. But it is Atkin's own story that truly lights up the book, a life devoted to the Zionist dream. Then again, to paraphrase Herzl, if Maury Atkin wills it, it is not a dream. / Franklin Foer"-- Back cover.
In the midst of apartheid in South Africa, journalist Maurice Hommel documented the cruel injustices and tensions running rampant within the country. What he saw forever impacted his life. Conversations and Soliloquies presents a collection of Hommel's essays and articles from the last fifty-five years, documenting and analyzing South African history during and after apartheid. Over time, the essays illuminate, in sometimes graphic detail, the anti-apartheid struggle that defined South Africa for decades. Beginning with the Sharpeville Massacre of 1960, Hommel delves into the bloody history of apartheid and traces how it pervaded every segment of society. His interviews with prominent South Africans, including Desmond Tutu and Neville Alexander, offer intimate glimpses into the thoughts of those working for change. In addition, stark photographs capture the emotions of the time. In its breadth of historical perspectives, this collection is a significant contribution to an understanding of South Africa's evolution to a nonracial, nonsexist, democratic country. Although lingering prejudices and smoldering resentments remain, Hommel carries an unshakable optimism of South Africa's enormous potential. Conversations and Soliloquies captures that hope.
The second edition of this book deals, as the first, with the foundations of classical physics from the 'symplectic' point of view, and of quantum mechanics from the 'metaplectic' point of view. We have revised and augmented the topics studied in the first edition in the light of new results, and added several new sections. The Bohmian interpretation of quantum mechanics is discussed in detail. Phase space quantization is achieved using the 'principle of the symplectic camel', which is a deep topological property of Hamiltonian flows. We introduce the notion of 'quantum blob', which can be viewed as the fundamental phase space unit. The mathematical tools developed in this book are the theory of the symplectic and metaplectic group, the Maslov index in a rigorous form, and the Leray index of a pair of Lagrangian planes. The concept of the 'metatron' is introduced, in connection with the Bohmian theory of motion. The short-time behavior of the propagator is studied and applied to the quantum Zeno effect.
This is a biography of Donald Hollowell, one of Georgia's foremost civil rights attorneys. The bulk of the manuscript is focused on Hollowell's career as a lawyer and, in particular, his work on key cases in the 1950s and 1960s, but Daniels also includes a discussion of Hollowell's early years, education, military service, and employment as a regional director of the Equal Employment Opportunity Commission. In researching the book, Daniels relied on personal interviews as well as the personal papers of civil rights advocates and Southern opposition leaders, court records, newspaper accounts, and other archival sources that offered insight into Hollowell's activism and lawyering. In addition, Daniels conducted three extensive personal interviews with Hollowell that provide firsthand information about his childhood and early background, the influences on his desire to become an advocate for social justice, and his experiences as a civil rights activist and lawyer. Daniels also conducted several interviews with Hollowell's wife, Louise T. Hollowell, to whom he was married for 62 years. The narrative captures Hollowell's civil rights work in Atlanta as well as his work with grassroots leaders in other parts of Georgia. It covers well- known civil rights cases such as the desegregation of University of Georgia while also chronicling the lesser known, yet nonetheless significant, desegregation cases that provided the groundwork for that case. Daniels illuminates Hollowell's behind-the scenes work to help bring about social change in Georgia, his collaboration with proponents of direct action, and the intersection of his work with that of Thurgood Marshall and the NAACP Legal Defense and Educational Fund's campaign for equal justice"--
Reprint of the original, first published in 1875. The publishing house Anatiposi publishes historical books as reprints. Due to their age, these books may have missing pages or inferior quality. Our aim is to preserve these books and make them available to the public so that they do not get lost.
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