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Feynman integrals. --- Feynman, Intégrales de --- Théorie quantique

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Mathematical physics --- Measure theory. Mathematical integration --- Feynman integrals --- Function spaces --- Feynman, Intégrales de --- Espaces fonctionnels --- Feynman, Intégrales de --- Feynman integrals. --- Function spaces. --- Espaces fonctionnels. --- Feynman, Intégrales de.

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Scientists are increasingly finding themselves engaged in research problems that cross the traditional disciplinary lines of physics, chemistry, biology, materials science, and engineering. Because of its broad scope, statistical mechanics is an essential tool for students and more experienced researchers planning to become active in such an interdisciplinary research environment. Powerful computational methods that are based in statistical mechanics allow complex systems to be studied at an unprecedented level of detail. This book synthesizes the underlying theory of statistical mechanics with the computational techniques and algorithms used to solve real-world problems and provides readers with a solid foundation in topics that reflect the modern landscape of statistical mechanics. Topics covered include detailed reviews of classical and quantum mechanics, in-depth discussions of the equilibrium ensembles and the use of molecular dynamics and Monte Carlo to sample classical and quantum ensemble distributions, Feynman path integrals, classical and quantum linear-response theory, nonequilibrium molecular dynamics, the Langevin and generalized Langevin equations, critical phenomena, techniques for free energy calculations, machine learning models, and the use of these models in statistical mechanics applications. The book is structured such that the theoretical underpinnings of each topic are covered side by side with computational methods used for practical implementation of the theoretical concepts.

Statistical mechanics. --- Statistical physics. --- Quantum theory. --- Molecular dynamics --- Monte Carlo method. --- Langevin equations. --- Feynman integrals. --- Critical phenomena (Physics) --- Mécanique statistique. --- Physique statistique. --- Dynamique moléculaire. --- Bioinformatique. --- Thermodynamique. --- Théorie quantique. --- Monte-Carlo, Méthode de. --- Langevin, Équation de. --- Feynman, Intégrales de. --- Phénomènes critiques (physique) --- Manuels d'enseignement supérieur. --- Simulation methods --- Mécanique statistique. --- Dynamique moléculaire. --- Théorie quantique. --- Monte-Carlo, Méthode de. --- Langevin, Équation de. --- Feynman, Intégrales de. --- Phénomènes critiques (physique) --- Manuels d'enseignement supérieur.