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A garden of quanta : essays in honor of hiroshi ezawa par Kobayashi, M. Publication : [S.l.] World Scientific Pub Co Inc 2003 . 502 p. , This collection of reviews and essays about the wide-ranging developments in the areas of quantum physics has mostly been written at the graduate level, but some are accessible to advanced undergraduates. They should serve as good introductions for beginning graduate students in quantum physics who are looking for directions. Aspects of mathematical physics, quantum field theories and statistical physics are emphasized. 22 cm. Date : 2003 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Compendium of theoretical physics par Wachter, Armin. Publication : [S.l.] Springer 2006 . 534 p. , The Compendium of Theoretical Physics contains the canonical curriculum of theoretical physics. From classical mechanics over electrodynamics, quantum mechanics and statistical physics/thermodynamics, all topics are treated axiomatic-deductively and confimed by exercises, solutions and short summaries. 24 cm. Date : 2006 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Fractals, scaling and growth far from equilibrium par Meakin, Paul Publication : Cambridge | New York Cambridge University Press 2011 . xiv, 674 pages , First published 1998 25 cm. Date : 2011 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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Self-organised criticality theory, models, and characterisation par Pruessner,, Gunnar, Publication : Cambridge | New York Cambridge University Press 2012 . xxii, 494 pages , "Giving a detailed overview of the subject, this book takes in the results and methods that have arisen since the term 'self-organised criticality' was coined twenty years ago. Providing an overview of numerical and analytical methods, from their theoretical foundation to the actual application and implementation, the book is an easy access point to important results and sophisticated methods. Starting with the famous Bak-Tang-Wiesenfeld sandpile, ten key models are carefully defined, together with their results and applications. Comprehensive tables of numerical results are collected in one volume for the first time, making the information readily accessible to readers. Written for graduate students and practising researchers in a range of disciplines, from physics and mathematics to biology, sociology, finance, medicine and engineering, the book gives a practical, hands-on approach throughout. Methods and results are applied in ways that will relate to the reader's own research"-- | "When Bak, Tang, and Wiesenfeld (1987) coined the term Self-Organised Criticality (SOC), it was an explanation for an unexpected observation of scale invariance and at the same time, a programme of further research. Over the years it developed into a subject area which is concerned mostly with the analysis of computer models that display a form of generic scale invariance. The primacy of the computer model is manifest in the first publication and throughout the history of SOC, which evolved with and revolved around such computer models. That has led to a plethora of computer 'models', many of which are not intended to model much except themselves (also Gisiger, 2001), in the hope that they display a certain aspect of SOC in a particularly clear way. The question whether SOC exists is empty if SOC is merely the title for a certain class of computer models. In the following, the term SOC will therefore be used in its original meaning (Bak et al, 1987), to be assigned to systems with spatial degrees of freedom [which] naturally evolve into a self-organized critical point. Such behaviour is to be juxtaposed to the traditional notion of a phase transition, which is the singular, critical point in a phase diagram, where a system experiences a breakdown of symmetry and long-range spatial and in non-equilibrium, also temporal correlations, generally summarised as (power law) scaling (Widom, 1965a,b; Stanley, 1971)"-- 26 cm. Date : 2012 Disponibilité : Exemplaires disponibles: La bibliothèque des sciences de l'ingénieur (1),

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The Sherrington-Kirkpatrick Model par Panchenko, Dmitry. Publication : . XII, 156 p. Disponibilité :  http://dx.doi.org/10.1007/978-1-4614-6289-7,

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From Kinetic Models to Hydrodynamics Some Novel Results / par Colangeli, Matteo. Publication : . X, 96 p. 21 illus., 9 illus. in color. Disponibilité :  http://dx.doi.org/10.1007/978-1-4614-6306-1,

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Thermal Quantum Field Theory and Perturbative Non-Equilibrium Dynamics par Millington, Peter. Publication : . XXV, 215 p. 28 illus., 10 illus. in color. Disponibilité :  http://dx.doi.org/10.1007/978-3-319-01186-8,

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Deterministic Abelian Sandpile Models and Patterns par Paoletti, Guglielmo. Publication : . XII, 163 p. 64 illus., 33 illus. in color. Disponibilité :  http://dx.doi.org/10.1007/978-3-319-01204-9,

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Fault Detection and Diagnosis in Nonlinear Systems A Differential and Algebraic Viewpoint / par Martinez-Guerra, Rafael. Publication : . XVII, 128 p. 31 illus., 11 illus. in color. Disponibilité :  http://dx.doi.org/10.1007/978-3-319-03047-0,

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Superconcentration and Related Topics par Chatterjee, Sourav. Publication : . IX, 156 p. Disponibilité :  http://dx.doi.org/10.1007/978-3-319-03886-5,

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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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Symmetries in Fundamental Physics par Sundermeyer, Kurt. Publication : . XXVIII, 788 p. 28 illus. Disponibilité :  http://dx.doi.org/10.1007/978-3-319-06581-6,

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Nonequilibrium and Irreversibility par Gallavotti, Giovanni. Publication : . XV, 248 p. 24 illus. Disponibilité :  http://dx.doi.org/10.1007/978-3-319-06758-2,

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Deterministic Nonlinear Systems A Short Course / par Anishchenko, Vadim S. Publication : . XIV, 294 p. 172 illus., 2 illus. in color. Disponibilité :  http://dx.doi.org/10.1007/978-3-319-06871-8,

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Dynamics of Complex Quantum Systems par Akulin, Vladimir M. Publication : . XIV, 677 p. 175 illus., 146 illus. in color. Disponibilité :  http://dx.doi.org/10.1007/978-94-007-7205-2,

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Symmetries in Fundamental Physics par Sundermeyer, Kurt. Publication : . XXVIII, 763 p. 29 illus. Disponibilité :  http://dx.doi.org/10.1007/978-94-007-7642-5,

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