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Quantum Theory of Conducting Matter: Newtonian Equations of Motion for a Bloch Electron targets scientists, researchers and graduate-level students focused on experimentation in the fields of physics, chemistry, electrical engineering, and material sciences. It is important that the reader have an understanding of dynamics, quantum mechanics, thermodynamics, statistical mechanics, electromagnetism and solid-state physics. Many worked-out problems are included in the book to aid the reader's comprehension of the subject. The Bloch electron (wave packet) moves by following the Newtonian equation of motion. Under an applied magnetic field B the electron circulates around the field B counterclockwise or clockwise depending on the curvature of the Fermi surface. The signs of the Hall coefficient and the Seebeck coefficient are known to give the sign of the major carrier charge. For alkali metals, both are negative, indicating that the carriers are "electrons." These features arise from the Fermi surface difference. The authors show an important connection between the conduction electrons and the Fermi surface in an elementary manner in the text. No currently available text explains this connection. The authors do this by deriving Newtonian equations of motion for the Bloch electron and diagonalizing the inverse mass (symmetric) tensor. The currently active areas of research, high-temperature superconductivity and Quantum Hall Effect, are important subjects in the conducting matter physics, and the authors plan to follow up this book with a second, more advanced book on superconductivity and the Quantum Hall Effect. .
Quantum electrodynamics. --- Conduction electrons --- Equations of motion. --- Mathematics. --- Motion equations --- Mechanics --- Lagrange equations --- Outer-shell electrons --- Valence electrons --- Conduction band --- Electrons --- Electrodynamics, Quantum --- QED (Physics) --- Quantum field theory --- Schwinger action principle --- Quantum theory. --- Quantum Physics. --- Quantum Information Technology, Spintronics. --- Elementary Particles, Quantum Field Theory. --- Quantum Optics. --- Quantum dynamics --- Quantum mechanics --- Quantum physics --- Physics --- Thermodynamics --- Quantum physics. --- Quantum computers. --- Spintronics. --- Elementary particles (Physics). --- Quantum field theory. --- Quantum optics. --- Computers --- Optics --- Photons --- Quantum theory --- Relativistic quantum field theory --- Field theory (Physics) --- Relativity (Physics) --- Elementary particles (Physics) --- High energy physics --- Nuclear particles --- Nucleons --- Nuclear physics --- Fluxtronics --- Magnetoelectronics --- Spin electronics --- Spinelectronics --- Microelectronics --- Nanotechnology
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In this text, Shigeji Fujita and Salvador Godoy guide first and second-year graduate students through the essential aspects of superconductivity. The authors open with five preparatory chapters thoroughly reviewing a number of advanced physical concepts-such as free-electron model of a metal, theory of lattice vibrations, and Bloch electrons. The remaining chapters deal with the theory of superconductivity-describing the basic properties of type I, type II compound, and high-Tc superconductors as well as treating quasi-particles using Heisenberg's equation of motion. The book includes step-by-step derivations of mathematical formulas, sample problems, and illustrations.
Superconductivity. --- Quantum theory. --- Crystallography. --- Computer engineering. --- Surfaces (Physics). --- Solid State Physics. --- Spectroscopy and Microscopy. --- Condensed Matter Physics. --- Crystallography and Scattering Methods. --- Electrical Engineering. --- Characterization and Evaluation of Materials. --- Physics --- Surface chemistry --- Surfaces (Technology) --- Computers --- Leptology --- Physical sciences --- Mineralogy --- Design and construction --- Solid state physics. --- Spectroscopy. --- Microscopy. --- Condensed matter. --- Electrical engineering. --- Materials science. --- Material science --- Electric engineering --- Engineering --- Condensed materials --- Condensed media --- Condensed phase --- Materials, Condensed --- Media, Condensed --- Phase, Condensed --- Liquids --- Matter --- Solids --- Analysis, Microscopic --- Light microscopy --- Micrographic analysis --- Microscope and microscopy --- Microscopic analysis --- Optical microscopy --- Optics --- Analysis, Spectrum --- Spectra --- Spectrochemical analysis --- Spectrochemistry --- Spectrometry --- Spectroscopy --- Chemistry, Analytic --- Interferometry --- Radiation --- Wave-motion, Theory of --- Absorption spectra --- Light --- Spectroscope --- Qualitative --- Analytical chemistry
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Flux quantization experiments indicate that the carriers, Cooper pairs (pairons), in the supercurrent have charge magnitude 2e, and that they move independently. Josephson interference in a Superconducting Quantum Int- ference Device (SQUID) shows that the centers of masses (CM) of pairons move as bosons with a linear dispersion relation. Based on this evidence we develop a theory of superconductivity in conventional and mate- als from a unified point of view. Following Bardeen, Cooper and Schrieffer (BCS) we regard the phonon exchange attraction as the cause of superc- ductivity. For cuprate superconductors, however, we take account of both optical- and acoustic-phonon exchange. BCS started with a Hamiltonian containing “electron” and “hole” kinetic energies and a pairing interaction with the phonon variables eliminated. These “electrons” and “holes” were introduced formally in terms of a free-electron model, which we consider unsatisfactory. We define “electrons” and “holes” in terms of the cur- tures of the Fermi surface. “Electrons” (1) and “holes” (2) are different and so they are assigned with different effective masses: Blatt, Schafroth and Butler proposed to explain superconductivity in terms of a Bose-Einstein Condensation (BEC) of electron pairs, each having mass M and a size. The system of free massive bosons, having a quadratic dispersion relation: and moving in three dimensions (3D) undergoes a BEC transition at where is the pair density.
Physics. --- Physical chemistry. --- Condensed matter. --- Statistical physics. --- Dynamical systems. --- Condensed Matter Physics. --- Physical Chemistry. --- Statistical Physics, Dynamical Systems and Complexity. --- Dynamical systems --- Kinetics --- Mathematics --- Mechanics, Analytic --- Force and energy --- Mechanics --- Physics --- Statics --- Mathematical statistics --- Condensed materials --- Condensed media --- Condensed phase --- Materials, Condensed --- Media, Condensed --- Phase, Condensed --- Liquids --- Matter --- Solids --- Chemistry, Theoretical --- Physical chemistry --- Theoretical chemistry --- Chemistry --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Dynamics --- Statistical methods --- Complex Systems. --- Statistical Physics and Dynamical Systems. --- High temperature superconductivity. --- High critical temperature superconductivity --- High Tc superconductivity --- Superconductivity
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The book describes all basic experimental facts about high temperature superconductivity of materials, with a critical temperature of 30 Kelvin and higher, and explains them microscopically starting with a Hamiltonian followed by step-by-step statistical mechanical calculations. All important theoretical formulas are derived without omitting steps and all basic questions are answered in a manner which is easy to understand. The book is therefore suitable as a textbook for a second-year graduate physics course. Many fresh, and some challenging, ideas are presented and researches in the field are invited to examine the text.
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Quantum mechanics. Quantumfield theory --- Optics. Quantum optics --- Elementary particles --- Computer. Automation --- computergestuurd meten --- elementaire deeltjes --- quantumfysica --- kwantumleer
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