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Statistical mechanics is one of the most exciting areas of physics today, and it also has applications to subjects as diverse as economics, social behavior, algorithmic theory, and evolutionary biology. Statistical Mechanics in a Nutshell offers the most concise, self-contained introduction to this rapidly developing field. Requiring only a background in elementary calculus and elementary mechanics, this book starts with the basics, introduces the most important developments in classical statistical mechanics over the last thirty years, and guides readers to the very threshold of today's cutting-edge research. Statistical Mechanics in a Nutshell zeroes in on the most relevant and promising advances in the field, including the theory of phase transitions, generalized Brownian motion and stochastic dynamics, the methods underlying Monte Carlo simulations, complex systems--and much, much more. The essential resource on the subject, this book is the most up-to-date and accessible introduction available for graduate students and advanced undergraduates seeking a succinct primer on the core ideas of statistical mechanics. Provides the most concise, self-contained introduction to statistical mechanics Focuses on the most promising advances, not complicated calculations Requires only elementary calculus and elementary mechanics Guides readers from the basics to the threshold of modern research Highlights the broad scope of applications of statistical mechanics
Statistical mechanics. --- Mechanics --- Mechanics, Analytic --- Quantum statistics --- Statistical physics --- Thermodynamics
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This book presents the most important and main concepts of the molecular and microsimulation techniques. It enables readers to improve their skills for developing simulation programs by providing physical problems and sample simulation programs for them to use.Provides tools to develop skills in developing simulations programsIncludes sample simulation programs for the reader to useAppendix explains Fortran and C languages in simple terms to allow the non-expert to use them
Molecular dynamics --- Statistical mechanics --- Computer simulation. --- Mechanics --- Mechanics, Analytic --- Quantum statistics --- Statistical physics --- Thermodynamics --- Dynamics, Molecular --- Dynamics
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This classic text, first published in 1972, is designed for graduate physics courses in statistical mechanics. The second edition, published in 1996, incorporated three comprehensive chapters on phase transitions and critical phenomena. This third edition includes new sections on Bose-Einstein condensation and degenerate Fermi behavior of ultracold atomic gases, and two new chapters on computer simulation methods and the thermodynamics of the early universe. We have also added new sections on chemical and phase equilibrium, and expanded our discussions of correlations and scattering, quant
Statistical physics --- Statistical mechanics. --- Mechanics --- Mechanics, Analytic --- Quantum statistics --- Thermodynamics --- Statistical mechanics --- 531.19 --- 531.19 Statistical mechanics
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Théorie quantique --- Statistique quantique --- Algorithmes --- Quantum computers. --- Quantum statistics. --- Quantum theory. --- Informatique quantique. --- Statistique quantique. --- Théorie quantique.
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Statistical physics --- Statistical mechanics. --- Mécanique statistique --- Mécanique statistique --- 531.3 --- 531.3 Dynamics. Kinetics --- Dynamics. Kinetics --- Statistical mechanics --- Mechanics --- Mechanics, Analytic --- Quantum statistics --- Thermodynamics
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This book is devoted to aspects of the foundations of Quantum Mechanics in which probabilistic and statistical concepts play an essential role. The main part of the book concerns the quantitative statistical theory of quantum measurement, based on the notion of Positive Operator-valued Measures. During the past years there has been substantial progress in this direction, stimulated to a great extent by new applications such as Quantum Optics, Quantum Communication and high-precision experiments. The questions of statistical interpretation, quantum symmetries, theory of canonical commutation relations and Gaussian states, uncertainty relations, as well as new fundamental bounds concerning the accuracy of quantum measurements, are discussed in this book in an accessible yet rigorous way. Compared to the first edition, there is a new Supplement devoted to the hidden variable issue. Comments and the bibliography have also been extended and updated.
Differentiable dynamical systems. --- Multilevel models (Statistics). --- Probabilities. --- Quantum statistics. --- Quantum theory -- Statistical methods. --- Quantum theory. --- Mathematics --- Physical Sciences & Mathematics --- Mathematical Statistics --- Quantum theory --- Statistical methods. --- Quantum dynamics --- Quantum mechanics --- Quantum physics --- Probability --- Statistical inference --- Mathematics. --- Probability Theory and Stochastic Processes. --- Combinations --- Chance --- Least squares --- Mathematical statistics --- Risk --- Physics --- Mechanics --- Thermodynamics --- Distribution (Probability theory. --- Distribution functions --- Frequency distribution --- Characteristic functions --- Probabilities
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The Schrödinger equation is the master equation of quantum chemistry. The founders of quantum mechanics realised how this equation underpins essentially the whole of chemistry. However, they recognised that its exact application was much too complicated to be solvable at the time. More than two generations of researchers were left to work out how to achieve this ambitious goal for molecular systems of ever-increasing size. This book focuses on non-mainstream methods to solve the molecular electronic Schrödinger equation. Each method is based on a set of core ideas and this volume aims to expla
Schrödinger equation. --- Wave functions. --- Wave mechanics. --- Electrodynamics --- Matrix mechanics --- Mechanics --- Molecular dynamics --- Quantum statistics --- Quantum theory --- Waves --- Wave function --- Functions --- Wave mechanics --- Configuration space --- Equation, Schrödinger --- Schrödinger wave equation --- Differential equations, Partial --- Particles (Nuclear physics) --- WKB approximation --- Schrodinger equation --- Wave functions
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The primary focus of this thesis is to theoretically describe nanokelvin experiments in cold atomic gases, which offer the potential to revolutionize our understanding of strongly correlated many-body systems. The thesis attacks major challenges of the field: it proposes and analyzes experimental protocols to create new and interesting states of matter and introduces theoretical techniques to describe probes of these states. The phenomena considered include the fractional quantum Hall effect, spectroscopy of strongly correlated states, and quantum criticality, among others. The thesis also clarifies experiments on disordered quantum solids, which display a variety of exotic phenomena and are candidates to exhibit so-called "supersolidity." It collects experimental results and constrains their interpretation through theoretical considerations. This Doctoral Thesis has been accepted by Cornell University, Ithaca, USA.
Condon, Edward Uhler, 1902-1974. --- Condon, Edward Uhler, 1902-1974. Physics. --- Phase transformations (Statistical physics) --- Quantum solids --- Low temperatures --- Physics --- Physical Sciences & Mathematics --- Thermodynamics --- Electricity & Magnetism --- Atomic Physics --- Atoms --- Quantum solids. --- Cold working. --- Solids, Quantum --- Physics. --- Atoms. --- Low temperature physics. --- Low temperatures. --- Atomic, Molecular, Optical and Plasma Physics. --- Low Temperature Physics. --- Quantum statistics --- Solid state physics --- Chemistry, Physical and theoretical --- Matter --- Stereochemistry --- Constitution --- Cryogenics --- Low temperature physics --- Temperatures, Low --- Temperature --- Cold --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Dynamics
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