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˜The œquantum mechanics solver : how to apply quantum theory to modern physics / par Basdevant, Jean-Louis. Publication : [S.l.] : Springer, 2005 . 292 p. ; , The Quantum Mechanics Solver uniquely illustrates the application of quantum mechanical concepts to various fields of modern physics. It aims at encouraging the reader to apply quantum mechanics to research problems in fields such as molecular physics, condensed matter physics or laser physics. Advanced undergraduates and graduate students will find a rich and challenging source of material for further exploration. This book consists of a series of problems concerning present-day experimental or theoretical questions on quantum mechanics. All of these problems are based on actual physical examples, even if sometimes the mathematical structure of the models under consideration is simplified intentionally in order to get hold of the physics more rapidly. The new edition features new themes, such as the progress in measuring neutrino oscillations, quantum boxes, the quantum thermometer etc. Secondly, it includes a brief summary on the basics of quantum mechanics and the formalism we use. Finally, the problems under three main themes: Elementary Particles, Nuclei and Atoms; Quantum Entanglement and Measurement; and Complex Systems. 24 cm. Date : 2005 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

An Introduction to quantum computing / par Kaye, Phillip. Publication : [S.l.] : Oxford University Press, USA, 2007 . 288 p. ; , This concise, accessible text provides a thorough introduction to quantum computing - an exciting emergent field at the interface of the computer, engineering, mathematical and physical sciences. Aimed at advanced undergraduate and beginning graduate students in these disciplines, the text is technically detailed and is clearly illustrated throughout with diagrams and exercises. Some prior knowledge of linear algebra is assumed, including vector spaces and inner products. However, prior familiarity with topics such as tensor products and spectral decomposition is not required, as the necessary material is reviewed in the text. 24 cm. Date : 2007 Disponibilité : Exemplaires disponibles: La bibliothèque des sciences de l'ingénieur (1),

Atom interferometry / par Berman, Paul R. Publication : [S.l.] : Academic Press, 1997 . 478 p. ; , The field of atom interferometry has expanded rapidly in recent years, and todays research laboratories are using atom interferometers both as inertial sensors and for precision measurements. Many researchers also use atom interferometry as a means of researching fundamental questions in quantum mechanics. Atom Interferometry contains contributions from theoretical and experimental physicists at the forefront of this rapidly developing field. Editor Paul R. Berman includes an excellent balance of background material and recent experimental results,providing a general overview of atom interferometry and demonstrating the promise that it holds for the future. Key Features * Includes contributions from many of the research groups that have pioneered this emerging field * Discusses and demonstrates new aspects of the wave nature of atoms * Explains the many important applications of atom interferometry, from a measurement of the gravitational constant to atom lithography * Examines applications of atom interferometry to fundamentally important quantum mechanics problems. 24 cm. Date : 1997 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

Differential topology and quantum field theory par Nash, Charles. Publication : Amsterdam Academic Press 2004 . xi, 386 pages. , First published 1991. Date : 2004 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

Dynamical systems X : general theory of vortices / par Kozlov, V.V. Publication : [S.l.] : Springer-Verlag Berlin and Heidelberg GmbH & Co. K, 2002 . 190 p. ; , ReliØ. 24 cm. Date : 2002 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

Loops, knots, gauge theories and quantum gravity par Gambini, Rodolfo. Publication : [S.l.] Cambridge University Press 2000 . 321p. , Loop representations (and the related topic of knot theory) are of considerable current interest because they provide a unified arena for the study of the gauge invariant quantization of Yang-Mills theories and gravity, and suggest a promising approach to the eventual unification of the four fundamental forces. This text provides a self-contained introduction to applications of loop representations and knot theory in particle physics and quantum gravity. The book begins with a detailed review of loop representation theory. It then goes on to describe loop representations in Maxwell theory, Yang-Mills theories, as well as lattice techniques. The authors then discuss applications in quantum gravity in detail. Following chapters consider knot theories, braid theories and extended loop representations in quantum gravity. A final chapter assesses the current status of the theory and points out possible directions for future research. 24 cm. Date : 2000 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

Noncommutative geometry, quantum fields and motives par Connes, Alain Publication : [S.l.] American Mathematical Society 2008 . 785 p. , The unifying theme of this book is the interplay among noncommutative geometry, physics, and number theory. The two main objects of investigation are spaces where both the noncommutative and the motivic aspects come to play a role: space-time, where the guiding principle is the problem of developing a quantum theory of gravity, and the space of primes, where one can regard the Riemann Hypothesis as a long-standing problem motivating the development of new geometric tools. The book stresses the relevance of noncommutative geometry in dealing with these two spaces. The first part of the book deals with quantum field theory and the geometric structure of renormalization as a Riemann-Hilbert correspondence. It also presents a model of elementary particle physics based on noncommutative geometry. The main result is a complete derivation of the full Standard Model Lagrangian from a very simple mathematical input. Other topics covered in the first part of the book are a noncommutative geometry model of dimensional regularization and its role in anomaly computations, and a brief introduction to motives and their conjectural relation to quantum field theory. The second part of the book gives an interpretation of the Weil explicit formula as a trace formula and a spectral realization of the zeros of the Riemann zeta function. This is based on the noncommutative geometry of the adele class space, which is also described as the space of commensurability classes of Q-lattices, and is dual to a noncommutative motive (endomotive) whose cyclic homology provides a general setting for spectral realizations of zeros of L-functions. The quantum statistical mechanics of the space of Q-lattices, in one and two dimensions, exhibits spontaneous symmetry breaking. In the low-temperature regime, the equilibrium states of the corresponding systems are related to points of classical moduli spaces and the symmetries to the class field theory of the field of rational numbers and of imaginary quadratic fields, as well as to the automorphisms of the field of modular functions. The book ends with a set of analogies between the noncommutative geometries underlying the mathematical formulation of the Standard Model minimally coupled to gravity and the moduli spaces of Q-lattices used in the study of the zeta function. 27 cm. Date : 2008 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

Perturbation of spectra in hilbert space par Friedrichs, K. O. Publication : [S.l.] American Mathematical Society 2008 . 178 p. , The mathematics of the quantum theory of fields has been a continuing puzzle to mathematicians and physicists for many decades. Perturbation theory remains an important element of quantum mechanics. Computationally, it is one of the most successful methods available. However, various features of field theory produce difficulties with the perturbative approach. Here, Friedrichs assumes certain smoothness of the interaction Hamiltonian, which eliminates divergence of the terms in the perturbation expansion, but, as a consequence, forces him to give up the possibility of a local Lorentz-invariant interaction. In this book based on his 1960 lectures in Boulder, Friedrichs looks at some of the unresolved mathematical questions in the quantum field theory of the time, with an emphasis on problems coming from perturbation theory. The lectures begin with an introduction to perturbation theory of discrete and continuous spectra and the theory of scattering. These methods are then applied to perturbations by annihilation and creation operators. Each of the three chapters has a corresponding appendix, where Friedrichs discusses some alternative approaches and additional material relating to the main text. 25 cm. Date : 2008 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

Quantum chance and non-locality : probability and non-locality in the interpretations of quantum mechanics / par Dickson,, W. Michael. Publication : [S.l.] : Cambridge University Press, 2005 . 268 p. ; , This book examines in detail two of the fundamental questions raised by quantum mechanics. Is the world indeterministic? Are there connections between spatially separated objects? In the first part of the book after outlining the formalism of quantum mechanics and introducing the measurement problem, the author examines several interpretations, focusing on how each proposes to solve the measurement problem and on how each treats probability. In the second part, the author argues that there can be non-trivial relationships between probability (specifically, determinism and indeterminism) and non-locality in an interpretation of quantum mechanics. The author then re-examines some of the interpretations of part one of the book in the light of this argument, and considers how they are with regard to locality and Lorentz invariance. One of the important lessons that comes out of this discussion is that any examination of locality, and of the relationship between quantum mechanics and the theory of relativity, should be undertaken in the context of a detailed interpretation of quantum mechanics. The book will appeal to anyone with an interest in the interpretation of quantum mechanics, including researchers in the philosophy of physics and theoretical physics, as well as graduate students in those fields. 25 cm. Date : 2005 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

Quantum field theory a modern perspective par Nair, V. Parameswaran. Publication : [S.l.] Springer 2005 . 556 p. , Based on lecture notes for a graduate course given for many years at the City University of New York.  At present, there is no. 24 cm. Date : 2005 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (2),

Quantum hall systems : braid groups, composite fermions and fractional charge / par Jacak,, Lucjan. Publication : [S.l.] : Oxford University Press, 2003 . 160 p. ; , ReliØ. 24 cm. Date : 2003 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

Quantum mechanics : an accessible introduction / par Scherrer,, Robert. Publication : [S.l.] : Addison Wesley, 2005 . 500 p. ; , KEY BENEFIT : Robert Scherrer's text provides a uniquely accessible and thorough introduction to quantum mechanics for readers. Scherrer carefully develops a solid foundation by recapping on the required math and other basic concepts before developing all the major more advanced topics. The Origins of Quantum Mechanics, The Problem with Blackbody Radiation, Math Interlude A: Complex Numbers and Linear Operators, The Schrijdinger Equation, One-Dimensional Time-Independent, Math Interlude B: Linear Algebra,  The Three-Dimensional Time-Independent, Math Interlude C: Matrices, Dirac Notation, and the Dirac Delta Function, Spin Angular Momentum, Time-Independent Perturbation Theory, The Variational Principle, Time-Dependent Perturbation Theory, Scattering Theory, The Multiparticle Schrijdinger Equation, Some Modern Applications of Quantum Mechanics, What Comes Next? Relativistic Quantum Mechanics KEY MARKET : For all readers interested in quantum mechanics.   24 cm. Date : 2005 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

Quantum mechanics par Devanathan,, V. Publication : [S.l.] Alpha Science International, Ltd 2005 . 346 p. , Quantum Mechanics describes the phenomena that matter and light exhibit on an atomic scale and so the study of atomic physics, nuclear physics and solid state physics are impossible without a clear understanding of the basic concepts and formalism of Quantum Mechanics. Since Physics deals essentially with numbers. the measurement of physical quantities and the calculations of these quantities on the basis of a theoretical framework. adequate attention has been paid to computation and numerical exercises. This book aims to promote a comprehensive understanding of the subject with illustrative examples. 25 cm. Date : 2005 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1), La bibliothèque des Sciences Exactes et Naturelles (1),

Speakable and unspeakable in quantum mechanics : collected papers on quantum philosophy / par Bell, J. S. Publication : [S.l.] : Cambridge University Press, 2004 . 288 p. ; , This book comprises all of John Bell's published and unpublished papers in the field of quantum mechanics, including two papers that appeared after the first edition was published. It also contains a preface written for the first edition, and an introduction by Alain Aspect that puts into context Bell's great contribution to the quantum philosophy debate. One of the leading expositors and interpreters of modern quantum theory, John Bell played a major role in the development of our current understanding of the profound nature of quantum concepts. First edition Hb (1987): 0-521-33495-0 First edition Pb (1988): 0-521-36869-3. 24 cm. Date : 2004 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

Spectral methods in quantum field theory par Graham,, Noah. Publication : [S.l.] Springer 2009 . 193 p. , This concise text introduces techniques from quantum mechanics, especially scattering theory, to compute the effects of an external background on a quantum field in general, and on the properties of the quantum vacuum in particular. This approach can be successfully used in an increasingly large number of situations, ranging from the study of solitons in field theory and cosmology to the determination of Casimir forces in nano-technology. The method introduced and applied in this book is shown to give an unambiguous connection to perturbation theory, implementing standard renormalization conditions even for non-perturbative backgrounds. It both gives new theoretical insights, for example illuminating longstanding questions regarding Casimir stresses, and also provides an efficient analytic and numerical tool well suited to practical calculations. Last but not least, it elucidates in a concrete context many of the subtleties of quantum field theory, such as divergences, regularization and renormalization, by connecting them to more familiar results in quantum mechanics. While addressed primarily at young researchers entering the field and nonspecialist researchers with backgrounds in theoretical and mathematical physics, introductory chapters on the theoretical aspects of the method make the book self-contained and thus suitable for advanced graduate students. 25 cm. Date : 2009 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

Lecture notes on Chern-Simons-Witten theory / par Hu, Sen. Publication : Singapore ; | River Edge, NJ : World Scientific, 2001 . 200 pages : , Based in part on lectures presented by E. Witten at Princeton University in the spring of 1989. 23 cm Date : 2001 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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