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Noncommutative spacetimes : symmetries in noncommutative geometry and field theory par Aschieri, Paolo. Publication : [S.l.] Springer 2009 . 213 p. , There are many approaches to noncommutative geometry and to its use in physics. This volume addresses the subject by combining the deformation quantization approach, based on the notion of star-product, and the deformed quantum symmetries methods, based on the theory of quantum groups. The aim of this work is to give an introduction to this topic and to prepare the reader to enter the research field quickly. The order of the chapters is "physics first": the mathematics follows from the physical motivations (e.g. gauge field theories) in order to strengthen the physical intuition. The new mathematical tools, in turn, are used to explore further physical insights. A last chapter has been added to briefly trace Julius Wess' (1934-2007) seminal work in the field. 25 cm. Date : 2009 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Polygons, polyominoes and polycubes   Publication : [S.l.] Springer 2009 . 518 p. , This unique book gives a comprehensive account of new mathematical tools used to solve polygon problems. In the 20th and 21st centuries, many problems in mathematics, theoretical physics and theoretical chemistry – and more recently in molecular biology and bio-informatics – can be expressed as counting problems, in which specified graphs, or shapes, are counted. One very special class of shapes is that of polygons. These are closed, connected paths in space. We usually sketch them in two-dimensions, but they can exist in any dimension. The typical questions asked include "how many are there of a given perimeter?", "how big is the average polygon of given perimeter?", and corresponding questions about the area or volume enclosed. That is to say "how many enclosing a given area?" and "how large is an average polygon of given area?" Simple though these questions are to pose, they are extraordinarily difficult to answer. They are important questions because of the application of polygon, and the related problems of polyomino and polycube counting, to phenomena occurring in the natural world, and also because the study of these problems has been responsible for the development of powerful new techniques in mathematics and mathematical physics, as well as in computer science. These new techniques then find application more broadly. The book brings together chapters from many of the major contributors in the field. An introductory chapter giving the history of the problem is followed by fourteen further chapters describing particular aspects of the problem, and applications to biology, to surface phenomena and to computer enumeration methods. 24 cm. Date : 2009 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Quantum trajectories and measurements in continuous time the diffusive case par Barchielli, Alberto Publication : Berlin | Heidelberg Springer 2009 . 325 p. , This course-based monograph introduces the reader to the theory of continuous measurements in quantum mechanics and provides some benchmark applications. The approach chosen, quantum trajectory theory, is based on the stochastic Schrödinger and master equations, which determine the evolution of the a-posteriori state of a continuously observed quantum system and give the distribution of the measurement output. The present introduction is restricted to finite-dimensional quantum systems and diffusive outputs. Two appendices introduce the tools of probability theory and quantum measurement theory which are needed for the theoretical developments in the first part of the book. First, the basic equations of quantum trajectory theory are introduced, with all their mathematical properties, starting from the existence and uniqueness of their solutions. This makes the text also suitable for other applications of the same stochastic differential equations in different fields such as simulations of master equations or dynamical reduction theories. In the next step the equivalence between the stochastic approach and the theory of continuous measurements is demonstrated. To conclude the theoretical exposition, the properties of the output of the continuous measurement are analyzed in detail. This is a stochastic process with its own distribution, and the reader will learn how to compute physical quantities such as its moments and its spectrum. In particular this last concept is introduced with clear and explicit reference to the measurement process. The two-level atom is used as the basic prototype to illustrate the theory in a concrete application. Quantum phenomena appearing in the spectrum of the fluorescence light, such as Mollow’s triplet structure, squeezing of the fluorescence light, and the line width narrowing, are presented. Last but not least, the theory of quantum continuous measurements is the natural starting point to develop a feedback control theory in continuous time for quantum systems. The two-level atom is again used to introduce and study an example of feedback based on the observed output. 25 cm. Date : 2009 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Transport equations for semiconductors par JUngel, Ansga Publication : [S.l.] Springer 2009 . 332 p. , Semiconductor devices are ubiquitous in the modern computer and telecommunications industry. A precise knowledge of the transport equations for electron flow in semiconductors when a voltage is applied is therefore of paramount importance for further technological breakthroughs. In the present work, the author tackles their derivation in a systematic and rigorous way, depending on certain key parameters such as the number of free electrons in the device, the mean free path of the carriers, the device dimensions and the ambient temperature. Accordingly a hierarchy of models is examined which is reflected in the structure of the book: first the microscopic and macroscopic semi-classical approaches followed by their quantum-mechanical counterparts. 25 cm. Date : 2009 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Quirky Quantum Concepts Physical, Conceptual, Geometric, and Pictorial Physics that Didn’t Fit in Your Textbook / par Michelsen, Eric L. Publication : . XIX, 361 p. 71 illus., 10 illus. in color. Disponibilité :  http://dx.doi.org/10.1007/978-1-4614-9305-1,

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Lectures on Complex Integration par Gogolin, A. O. Publication : . IX, 285 p. 64 illus. Disponibilité :  http://dx.doi.org/10.1007/978-3-319-00212-5,

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Quantum Mechanics for Pedestrians 1: Fundamentals par Pade, Jochen. Publication : . XXIII, 452 p. 51 illus., 28 illus. in color. Disponibilité :  http://dx.doi.org/10.1007/978-3-319-00798-4,

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Quantum Mechanics for Pedestrians 2: Applications and Extensions par Pade, Jochen. Publication : . XXI, 482 p. 81 illus., 49 illus. in color. Disponibilité :  http://dx.doi.org/10.1007/978-3-319-00813-4,

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Special Relativity par Faraoni, Valerio. Publication : . XVIII, 304 p. 51 illus. Disponibilité :  http://dx.doi.org/10.1007/978-3-319-01107-3,

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Strongly Nonlinear Oscillators Analytical Solutions / par Cveticanin, Livija. Publication : . IX, 239 p. 74 illus., 12 illus. in color. Disponibilité :  http://dx.doi.org/10.1007/978-3-319-05272-4,

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Theory of Gravitational Interactions par Gasperini, Maurizio. Publication : . XVI, 322 p. 8 illus. Disponibilité :  http://dx.doi.org/10.1007/978-88-470-2691-9,

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