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Atoms --- Thomas-Fermi theory. --- Models.
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Plasma physics --- Electron gas --- Thomas-Fermi theory --- Electron gas. --- Thomas-Fermi theory.
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Thomas-Fermi theory. --- Matter --- Functional analysis --- Mathematical physics
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This book provides a comprehensive review of seminal as well as recent results in the theory of condensed phases, including liquid metals, quantum liquids and Wigner crystals, along with selected applications, especially in the physical chemistry of molecules and clusters. A large part of this work is dedicated to the Thomas-Fermi semiclassical approximation for molecules and condensed phases, and its extension to inhomogeneous electron liquids and liquid metals. Correlation effects in quantum liquids and Wigner crystallization are other areas of focus of this work, with an emphasis towards t
Many-body problem. --- Molecules. --- Microclusters. --- Condensed matter. --- Thomas-Fermi theory. --- Liquid metals.
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Quantum theory --- Mechanics --- Path integrals --- Thomas-Fermi theory --- Théorie quantique --- Mécanique --- Intégrales de chemin
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'Semiclassical Physics' emphasizes the close connection between the shorter classical periodic orbits, and the partially resolved quantum fluctuations in the level density and response of an autonomous finite quantum system. Particular care is taken to present a detailed derivation of Gutzwiller's trace formula, and its extensions to continuous symmetries, zeta function techniques, and diffractive orbits. Simple model examples are used to illustrate the formalism. The self-consistent mean-field approach to the many-body problem is used, and the extended Thomas-Fermi model posited for the average properties of finite fermion systems. Strutinsky's energy theorem is exploited to bring out the quantum effects in interacting systems. Experimental manifestations of quantum shell structure, and their understanding in terms of a few classical orbits, are illustrated in atomic nuclei, metal clusters, and mesoscopic devices. Chapters one, two, and eight are meant for the general reader interested in semiclassical physics and a survey of relevant experiments. The other five chapters give a detailed, but elementary, exposition of the theory aimed at the second-year graduate student level.
Quantum mechanics. Quantumfield theory --- Quantum theory. --- Mechanics. --- Path integrals. --- Thomas-Fermi theory. --- Théorie quantique --- Mécanique --- Intégrales de chemin --- Théorie quantique --- Mécanique --- Intégrales de chemin
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Research into the stability of matter has been one of the most successful chapters in mathematical physics, and is a prime example of how modern mathematics can be applied to problems in physics. A unique account of the subject, this book provides a complete, self-contained description of research on the stability of matter problem. It introduces the necessary quantum mechanics to mathematicians, and aspects of functional analysis to physicists. The topics covered include electrodynamics of classical and quantized fields, Lieb-Thirring and other inequalities in spectral theory, inequalities in electrostatics, stability of large Coulomb systems, gravitational stability of stars, basics of equilibrium statistical mechanics, and the existence of the thermodynamic limit. The book is an up-to-date account for researchers, and its pedagogical style makes it suitable for advanced undergraduate and graduate courses in mathematical physics.
Thomas-Fermi theory --- Quantum theory --- Matter --- Structural stability --- Properties --- Thomas-Fermi theory. --- Quantum theory. --- Structural stability. --- Stability of structures --- Structures, Stability of --- Stability --- Safety factor in engineering --- Structural failures --- Physical properties of matter --- Properties of matter --- Mechanics --- Diffusion --- Quantum dynamics --- Quantum mechanics --- Quantum physics --- Physics --- Thermodynamics --- Fermi-Thomas model --- Fermi-Thomas theory --- Thomas-Fermi atom model --- Thomas-Fermi-Dirac method --- Thomas-Fermi-Dirac model --- Thomas-Fermi method --- Thomas-Fermi model --- Atomic structure --- Nuclear models --- Properties. --- Matter - Properties
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539.184 --- 536 --- Internal mechanics of atoms. Energy levels and structure. Excited states of atoms --- Heat. Thermodynamics --- 536 Heat. Thermodynamics --- 539.184 Internal mechanics of atoms. Energy levels and structure. Excited states of atoms --- Fermions --- Thomas-Fermi, Modèle de --- Thermodynamics. --- Thomas-Fermi theory. --- Thermodynamique.
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This monograph solely investigates the Debye Screening Length (DSL) in semiconductors and their nano-structures. The materials considered are quantized structures of non-linear optical, III-V, II-VI, Ge, Te, Platinum Antimonide, stressed materials, Bismuth, GaP, Gallium Antimonide, II-V and Bismuth Telluride respectively. The DSL in opto-electronic materials and their quantum confined counterparts is studied in the presence of strong light waves and intense electric fields on the basis of newly formulated electron dispersion laws that control the studies of such quantum effect devices. The suggestions for the experimental determination of 2D and 3D DSL and the importance of measurement of band gap in optoelectronic materials under intense built-in electric field in nano devices and strong external photo excitation (for measuring photon induced physical properties) have also been discussed in this context. The influence of crossed electric and quantizing magnetic fields on the DSL and the DSL in heavily doped semiconductors and their nanostructures has been investigated. This monograph contains 150 open research problems which form the integral part of the text and are useful for both PhD students and researchers in the fields of solid-state sciences, materials science, nano-science and technology and allied fields in addition to the graduate courses in modern semiconductor nanostructures.
Physics. --- Optical materials. --- Nanotechnology. --- Semiconductors. --- Optical and Electronic Materials. --- Solid State Physics. --- Nanoscale Science and Technology. --- Physics --- Physical Sciences & Mathematics --- Electricity & Magnetism --- Molecular technology --- Nanoscale technology --- Optics --- Natural philosophy --- Philosophy, Natural --- Materials --- Solid state physics. --- Nanoscale science. --- Nanoscience. --- Nanostructures. --- Electronic materials. --- Semiconductors --- Nanostructured materials. --- Thomas-Fermi theory. --- Testing --- Optical methods. --- Fermi-Thomas model --- Fermi-Thomas theory --- Thomas-Fermi atom model --- Thomas-Fermi-Dirac method --- Thomas-Fermi-Dirac model --- Thomas-Fermi method --- Thomas-Fermi model --- Atomic structure --- Nuclear models --- Nanomaterials --- Nanometer materials --- Nanophase materials --- Nanostructure controlled materials --- Nanostructure materials --- Ultra-fine microstructure materials --- Microstructure --- Nanotechnology --- High technology --- Nanoscience --- Nano science --- Nanoscale science --- Nanosciences --- Science --- Solids --- Electronic materials --- Crystalline semiconductors --- Semi-conductors --- Semiconducting materials --- Semiconductor devices --- Crystals --- Electrical engineering --- Electronics --- Solid state electronics
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This collection of papers -- starting with a brilliant article by one of the masters of the field -- gives an excellent current review of our knowledge of matter. Partially basing his own work on a variational formulation of quantum mechanics, E.H. Lieb links the difficult question of the stability of matter with important problems in functional analysis. Here the reader will find general results together with deep insights into quantum systems combined with papers on the structure of atoms and molecules, the thermodynamic limit, and stellar structures. The book is suitable as an accompanying text or recommended reading for a graduate course in quantum mechanics. In the third edition, two new sections were added: one contains papers on quantum electrodynamics, and the other on Boson systems. In this fourth edition, these topics have been further developed, extending the book by approximately 120 pages.
Thomas-Fermi theory. --- Matter --- Functional analysis. --- Mathematical physics. --- Properties. --- Physical mathematics --- Physics --- Functional calculus --- Calculus of variations --- Functional equations --- Integral equations --- Physical properties of matter --- Properties of matter --- Mechanics --- Diffusion --- Fermi-Thomas model --- Fermi-Thomas theory --- Thomas-Fermi atom model --- Thomas-Fermi-Dirac method --- Thomas-Fermi-Dirac model --- Thomas-Fermi method --- Thomas-Fermi model --- Atomic structure --- Nuclear models --- Mathematics --- Quantum theory. --- Global analysis (Mathematics). --- Mathematical optimization. --- Elementary Particles, Quantum Field Theory. --- Mathematical Methods in Physics. --- Condensed Matter Physics. --- Quantum Physics. --- Analysis. --- Calculus of Variations and Optimal Control; Optimization. --- Optimization (Mathematics) --- Optimization techniques --- Optimization theory --- Systems optimization --- Mathematical analysis --- Maxima and minima --- Operations research --- Simulation methods --- System analysis --- Analysis, Global (Mathematics) --- Differential topology --- Functions of complex variables --- Geometry, Algebraic --- Quantum dynamics --- Quantum mechanics --- Quantum physics --- Thermodynamics --- Elementary particles (Physics). --- Quantum field theory. --- Physics. --- Condensed matter. --- Quantum physics. --- Mathematical analysis. --- Analysis (Mathematics). --- Calculus of variations. --- Isoperimetrical problems --- Variations, Calculus of --- 517.1 Mathematical analysis --- Condensed materials --- Condensed media --- Condensed phase --- Materials, Condensed --- Media, Condensed --- Phase, Condensed --- Liquids --- Solids --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Dynamics --- Relativistic quantum field theory --- Field theory (Physics) --- Quantum theory --- Relativity (Physics) --- Elementary particles (Physics) --- High energy physics --- Nuclear particles --- Nucleons --- Nuclear physics
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