Bohmian Mechanics was formulated in 1952 by David Bohm as a complete theory of quantum phenomena based on a particle picture. It was promoted some decades later by John S. Bell, who, intrigued by the manifestly nonlocal structure of the theory, was led to his famous Bell's inequalities. Experimental tests of the inequalities verified that nature is indeed nonlocal. Bohmian mechanics has since then prospered as the straightforward completion of quantum mechanics. This book provides a systematic introduction to Bohmian mechanics and to the mathematical abstractions of quantum mechanics, which range from the self-adjointness of the Schrödinger operator to scattering theory. It explains how the quantum formalism emerges when Boltzmann's ideas about statistical mechanics are applied to Bohmian mechanics. The book is self-contained, mathematically rigorous and an ideal starting point for a fundamental approach to quantum mechanics. It will appeal to students and newcomers to the field, as well as to established scientists seeking a clear exposition of the theory.
Focuses on a recent approach to adiabatic perturbation theory, which emphasizes the role of effective equations of motion and the separation of the adiabatic limit from the semiclassical limit. A detailed introduction gives an overview of the subject and makes the later chapters accessible also to readers less familiar with the material. Although the general mathematical theory based on pseudodifferential calculus is presented in detail, there is an emphasis on concrete and relevant examples from physics. Applications range from molecular dynamics to the dynamics of electrons in a crystal and from the quantum mechanics of partially confined systems to Dirac particles and nonrelativistic QED.
The authors consider the time-dependent Schrödinger equation on a Riemannian manifold with a potential that localizes a certain subspace of states close to a fixed submanifold . When the authors scale the potential in the directions normal to by a parameter , the solutions concentrate in an -neighborhood of . This situation occurs for example in quantum wave guides and for the motion of nuclei in electronic potential surfaces in quantum molecular dynamics. The authors derive an effective Schrödinger equation on the submanifold and show that its solutions, suitably lifted to , approximate the solutions of the original equation on up to errors of order at time . Furthermore, the authors prove that the eigenvalues of the corresponding effective Hamiltonian below a certain energy coincide up to errors of order with those of the full Hamiltonian under reasonable conditions.
Bohmian Mechanics was found 1952 by David Bohm as an ontological theory of quantum phenomena. It had been revived in the second half of the last century by John S. Bell, who, intrigued by the manifestly nonlocal structure of the theory, was led to his famous Bell's inequalities. Experimental tests of the inequalities verified that nature is indeed nonlocal. Bohmian mechanics has since then prospered as the straightforward completion of quantum mechanics. The theory is about the motion of point particles, the statistical analysis of which, yields the formalism of quantum mechanics in terms of Hilbert spaces, self-adjoint operator-observables, and projection and positive operator valued measures. Tunneling times, arrival times, and first exit times are easily described within Bohmian mechanics. The book explains how Boltzmann 's probabilistic reasoning in statistical mechanics when applied to Bohmian mechanics leads to a rational account of quantum mechanics and its mathematical abstractions. It provides the insight and the mathematical tools to establish the formalism of quantum theory, including scattering theory, as the statistical macroscopic description of Bohmian mechanics. It reviews the essentials of classical physical theories relevant to the probabilistic reasoning and introduces Bohmian mechanics from various points of views. It provides rational perspectives on identical particles (bosons and fermions), the classical limit, quantum equilibrium , uncertainty relation and quantum observables. The book is self contained, it develops carefully the insight for the need of the mathematics of quantum mechanics, which is carried out with full mathematical rigor.
Focuses on a recent approach to adiabatic perturbation theory, which emphasizes the role of effective equations of motion and the separation of the adiabatic limit from the semiclassical limit. A detailed introduction gives an overview of the subject and makes the later chapters accessible also to readers less familiar with the material. Although the general mathematical theory based on pseudodifferential calculus is presented in detail, there is an emphasis on concrete and relevant examples from physics. Applications range from molecular dynamics to the dynamics of electrons in a crystal and from the quantum mechanics of partially confined systems to Dirac particles and nonrelativistic QED.
Bohmian Mechanics was formulated in 1952 by David Bohm as a complete theory of quantum phenomena based on a particle picture. It was promoted some decades later by John S. Bell, who, intrigued by the manifestly nonlocal structure of the theory, was led to his famous Bell's inequalities. Experimental tests of the inequalities verified that nature is indeed nonlocal. Bohmian mechanics has since then prospered as the straightforward completion of quantum mechanics. This book provides a systematic introduction to Bohmian mechanics and to the mathematical abstractions of quantum mechanics, which range from the self-adjointness of the Schrödinger operator to scattering theory. It explains how the quantum formalism emerges when Boltzmann's ideas about statistical mechanics are applied to Bohmian mechanics. The book is self-contained, mathematically rigorous and an ideal starting point for a fundamental approach to quantum mechanics. It will appeal to students and newcomers to the field, as well as to established scientists seeking a clear exposition of the theory.
The authors consider the time-dependent Schrödinger equation on a Riemannian manifold with a potential that localizes a certain subspace of states close to a fixed submanifold . When the authors scale the potential in the directions normal to by a parameter , the solutions concentrate in an -neighborhood of . This situation occurs for example in quantum wave guides and for the motion of nuclei in electronic potential surfaces in quantum molecular dynamics. The authors derive an effective Schrödinger equation on the submanifold and show that its solutions, suitably lifted to , approximate the solutions of the original equation on up to errors of order at time . Furthermore, the authors prove that the eigenvalues of the corresponding effective Hamiltonian below a certain energy coincide up to errors of order with those of the full Hamiltonian under reasonable conditions.
This monograph studies the theological motivations behind certain Jewish apocalypses by focusing on the mighty acts of God recounted in these writings. In particular, the work examines the various depictions of God’s acts and attributes as a means for learning about the individuals and groups responsible for the transmission of these apocalypses. Three prominent motifs, among others, receive attention here: theophanies (e.g., I Enoch 1:3–9; 25:3; 77:1; Daniel 4:10, 20; 7:9–10, 13–14), portrayals of the resurrection (e.g., I Enoch 102 – 104; Daniel 12:1–3), and interpretations of the (Babylonian) Exile in connection with the “new creation” (e.g., Qumran, Jubilees, Pseudo-Philo). Apocalypticism provides a framework for various theologies. Generally speaking, God is shown as the most prominent figure in these dramas of eschatological events. The authors of these writings typically held that their only deliverance could arise from the imminent arrival of an otherworldly eon ushered in by the power of God.
As business processes are crucial success factors for companies, software-based Business Process Management (BPM) is becoming more and more important. In this area SAP, the market leader for enterprise application software, has already gathered substantial experience. For the characterization, modeling and especially the optimization of business processes, SAP’s consultants use their own BPM approach. In addition to their considerable methodological know-how, the consultants’ profound knowledge of the industries facilitates the focus on core and business-critical processes. This book examines the current market situation, as well as the specific challenges and trends for the chemical and pharmaceutical industries. It also explains business process management basics and the specific SAP Consulting methodology, before illustrating the use of such methods and procedures with sample industry-specific core business processes. With the help of these examples from the chemical and pharmaceutical industries, SAP Consulting provides methodological guidelines on how Business Process Management can be used in practice to optimize business processes and make adjustments in response to constantly changing economic and environmental factors.
This book introduces formal grammar theories that play a role in current linguistic theorizing (Phrase Structure Grammar, Transformational Grammar/Government & Binding, Generalized Phrase Structure Grammar, Lexical Functional Grammar, Categorial Grammar, Head-Driven Phrase Structure Grammar, Construction Grammar, Tree Adjoining Grammar). The key assumptions are explained and it is shown how the respective theory treats arguments and adjuncts, the active/passive alternation, local reorderings, verb placement, and fronting of constituents over long distances. The analyses are explained with German as the object language. The second part of the book compares these approaches with respect to their predictions regarding language acquisition and psycholinguistic plausibility. The nativism hypothesis, which assumes that humans posses genetically determined innate language-specific knowledge, is critically examined and alternative models of language acquisition are discussed. The second part then addresses controversial issues of current theory building such as the question of flat or binary branching structures being more appropriate, the question whether constructions should be treated on the phrasal or the lexical level, and the question whether abstract, non-visible entities should play a role in syntactic analyses. It is shown that the analyses suggested in the respective frameworks are often translatable into each other. The book closes with a chapter showing how properties common to all languages or to certain classes of languages can be captured.
Wenn es einen Golferhimmel gibt, dann sieht er mit Sicherheit so aus wie diese prächtige Auswahl luxuriöser Golfanlagen! An einigen der spektakulärsten Winkel der Erde gelegen, verbinden sie atemberaubende Landschaften mit anspruchsvollen Platzdesigns. Wir können Ihnen nicht versprechen, dass Sie der nächste Jack Nicklaus oder Martin Kaymer werden aber ganz gleich, ob Sie Anfänger oder Profi sind, werden Sie die unzähligen Annehmlichkeiten dieser Resorts zu schätzen wissen, ganz zu schweigen von der Weltklassearchitektur und den exklusiven Interieurs. Von den Tropen bis nach Schottland punkten diese Anlagen mit den schönsten Unterkünften, dem besten Essen und den erlesensten Weinen, die Sie sich vorstellen können.
This book introduces formal grammar theories that play a role in current linguistic theorizing (Phrase Structure Grammar, Transformational Grammar/Government & Binding, Generalized Phrase Structure Grammar, Lexical Functional Grammar, Categorial Grammar, Head-Driven Phrase Structure Grammar, Construction Grammar, Tree Adjoining Grammar). The key assumptions are explained and it is shown how the respective theory treats arguments and adjuncts, the active/passive alternation, local reorderings, verb placement, and fronting of constituents over long distances. The analyses are explained with German as the object language. The second part of the book compares these approaches with respect to their predictions regarding language acquisition and psycholinguistic plausibility. The nativism hypothesis, which assumes that humans posses genetically determined innate language-specific knowledge, is critically examined and alternative models of language acquisition are discussed. The second part then addresses controversial issues of current theory building such as the question of flat or binary branching structures being more appropriate, the question whether constructions should be treated on the phrasal or the lexical level, and the question whether abstract, non-visible entities should play a role in syntactic analyses. It is shown that the analyses suggested in the respective frameworks are often translatable into each other. The book closes with a chapter showing how properties common to all languages or to certain classes of languages can be captured.
David Foster Wallace's "Infinite Jest" is one of the most ambitious American novels of the last decade. Its huge scope, its immense array of characters, and Wallace's artful mastery of language make it a complex and sometimes difficult text that has frequently been compared with other works of magnitude such as "Ulysses" and "Gravity's Rainbow". This book aims to provide the reader of Wallace's novel with one (of many) possible thread(s) which might lead him through the textual labyrinth of "Infinite Jest". It is concerned with the issues of narcissism, addiction, depression, and despair and interprets the novel within an Existentialist framework drawn from the philosophical works of Jean-Paul Sartre and Søren Kierkegaard. Hirt analyzes Wallace's portrayal of contemporary existence inside a society that, paradoxically, entraps the individual self exactly by exposing it to an unprecedented state of freedom. Furthermore, Hirt discusses the counter-proposals which Wallace weighs against postmodern culture. "Infinite Jest" is thus set in relation to postmodern literature, and the similarities as well as the differences between this literary period and "Infinite Jest" are illuminated.
Even the biographical individual is a social category', wrote Adorno. ‘It can only be defined in a living context together with others.’ In this major new biography, Stefan Müller-Doohm turns this maxim back on Adorno himself and provides a rich and comprehensive account of the life and work of one of the most brilliant minds of the twentieth century. This authoritative biography ranges across the whole of Adorno's life and career, from his childhood and student years to his years in emigration in the United States and his return to postwar Germany. At the same time, Muller-Doohm examines the full range of Adorno's writings on philosophy, sociology, literary theory, music theory and cultural criticism. Drawing on an array of sources from Adorno's personal correspondence with Horkheimer, Benjamin, Berg, Marcuse, Kracauer and Mann to interviews, notes and both published and unpublished writings, Muller-Doohm situates Adorno's contributions in the context of his times and provides a rich and balanced appraisal of his significance in the 20th Century as a whole. Müller-Doohm's clear prose succeeds in making accessible some of the most complex areas of Adorno's thought. This outstanding biography will be the standard work on Adorno for years to come.
This introduction to Medieval Spanish, or Old Spanish, closes a long-standing gap in the literature. Focusing on the internal history of the Spanish language, it traces its phonetic, grammatical, and lexical development from classical and vulgar Latin to Medieval Spanish. The characteristics of the Old Spanish language are also illustrated through a presentation and commentary of suitable text excerpts that represent its different stages of development.
Aust presents the definitive account of the RAF, capturing a highly complex story both accurately and colorfully. Much new information has surfaced since the mass suicide of the Groups' leaders in the 1980s. Some RAF members have come forward to testify in new investigations and formerly classified Stasi documents have been made public since the fall of the Berlin Wall, all contributing to a fuller picture of the RAF and the events surrounding their demise. Aust ranges from the group's creation in 1970 to their breakup in 1998, incorporating all of the new information.
Written and edited by an international team of renowned authorities, MacSween's Pathology of the Liver, 8th Edition, remains the field’s definitive reference on liver pathology. This must-have text is ideal for surgical pathologists in practice and in training who examine liver specimens on a day-to-day basis. It provides invaluable assistance in recognizing the huge variety of appearances of the liver that result from infections, tumors, and tumor-like lesions, as well as organ damage caused by drugs and toxins. With expert, comprehensive coverage of all malignant and benign hepatobiliary disorders, MacSween’s is a convenient, one-stop resource for use in the reporting room as well as in personal study. Shares the knowledge and experience of a “who’s who list of experts in the field of hepatobiliary pathology, led by editors Alastair D. Burt, Linda D. Ferrell, and Stefan G. Hübscher. Features more than 1,000 high-quality, full color illustrations, providing a complete visual guide to each tumor or tumor-like lesion. Discusses advances in molecular diagnostic testing, its capabilities, and its limitations, including targeted/personalized medicine. Incorporates the latest TNM staging and WHO classification systems, as well as new diagnostic biomarkers and their utility in differential diagnosis, newly described variants, and new histologic entities. Includes relevant data from ancillary techniques (immunohistochemistry, cytogenetics, and molecular genetics), giving you the necessary tools required to master the latest breakthroughs in diagnostic technology. Provides you with all of the necessary diagnostic tools to make a complete and accurate pathologic report, including clinicopathologic background throughout. Directs you to the most recent and authoritative sources for further reading with a comprehensive reference list that highlights key articles and up-to-date citations.
Providing vital knowledge on the design and synthesis of specific metal-organic framework (MOF) classes as well as their properties, this ready reference summarizes the state of the art in chemistry. Divided into four parts, the first begins with a basic introduction to typical cluster units or coordination geometries and provides examples of recent and advanced MOF structures and applications typical for the respective class. Part II covers recent progress in linker chemistries, while special MOF classes and morphology design are described in Part III. The fourth part deals with advanced characterization techniques, such as NMR, in situ studies, and modelling. A final unique feature is the inclusion of data sheets of commercially available MOFs in the appendix, enabling experts and newcomers to the field to select the appropriate MOF for a desired application. A must-have reference for chemists, materials scientists, and engineers in academia and industry working in the field of catalysis, gas and water purification, energy storage, separation, and sensors.
Brightly coloured prints, portraying model behaviour or a better future, have been a ubiquitous element of Chinese political culture from Imperial times until present. As economic reform swept the People's Republic in the 1980s, visual propaganda ceased to depict the tanned and muscular labourers in a proletarian utopia, so typical of preceding decades. Instead, Western icons of progress and development were employed: high-speed bullet trains, spacecraft, high-rise buildings, gridlocked free-ways and projections of general affluence. Socialist Realism was phased out by design and mixed- media techniques that were influenced by Western advertising. This lavishly illustrated study traces the development of the style and content of the Chinese propaganda poster in the decade of reform, from its traditional origins to its use as a tool for political and economic purposes.
In Das theologische Profil des Julian von Toledo entwickelt Stefan Pabst auf Basis einer Analyse sämtlicher erhaltener Schriften ein theologisches Profil des westgotischen Bischofs Julian von Toledo (ca. 642–690).In Das theologische Profil des Julian von Toledo Stefan Pabst presents a theological profile of the Visigothic bishop Julian of Toledo (ca. 642–690) based on the analysis of all his preserved writings.
The author follows the debates beyond the unexpected unification of the country in 1989/90 and analyses the most recent trends in German historiography, hoping that it doesn't return to the stifling homogeneity that characterized it before the 1960s.
A comparative study of the cultural impact of the Great War on British and German societies. Taking medievalism as a mode of public commemorations as its focus, this book unravels the British and German search for historical continuity and meaning in the shadow of an unprecedented human catastrophe.
Master the principles and practices of modern drilling mechanics This in-depth guide offers complete coverage of drilling mechanics with a focus on the horizontal drilling of shale plays and offshore wells. The book lays out drilling engineering fundamentals and clearly explains the latest technological developments. Written by a team of seasoned educators, Drilling Engineering: Advanced Applications and Technology covers every key topic, including geo-mechanics for drilling applications, well construction techniques, wellbore hydraulics, and optimization. You will enhance your understanding of drilling operations, improve your designs, and plan for more productive and cost-effective wells. Coverage includes: Well construction and hydraulics Drillstring mechanics and casing design Drilling hydraulics Cuttings transport Geomechanics Fundamentals of rock mechanics Wellbore stress, stability, and strengthening Coupled fluid flow—stress formulation Drilling optimization methods Vector and tensor analysis Principles of deformable materials Elasticity concepts
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