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Social organizations --- Opus Dei (Society)

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This small book on the properties of continuously distributed matter covers a huge field. It sets out the governing principles of continuum physics and illustrates them by carefully chosen examples. These examples comprise structural mechanics and elasticity, fluid media, electricity and optics, thermoelectricity, fluctuation phenomena and more, from Archimedes' principle via Brownian motion to white dwarfs. Metamaterials, pattern formation by reaction-diffusion and surface plasmon polaritons are dealt with as well as classical topics such as Stokes' formula, beam bending and buckling, crystal optics and electro- and magnetooptic effects, dielectric waveguides, Ohm's law, surface acoustic waves, to mention just some.   The set of balance equations for content, flow and production of particles, mass, charge, momentum, energy and entropy is augmented by material, or constitutive equations. They describe entire classes of materials, such as viscid fluids and gases, elastic media, dielectrics or electrical conductors. We discuss the response of matter to rapidly oscillating external parameters, in particular the electric field strength of light, in the framework of statistical thermodynamics.< An appendix on fields and a glossary round off this bird's-eye view on continuum physics.   Students of physics, engineering and related fields will benefit from the clear presentation of worked examples and the variety of solution methods, including numerical techniques. Lecturers or advanced students may profit from the unified view on a substantial part of physics. It may help them to embed their research field conceptually within a wider context.

Physics. --- Field theory (Physics) --- Continuum mechanics --- Physics --- Physical Sciences & Mathematics --- Physics - General --- Atomic Physics --- Mechanics of continua --- Classical field theory --- Continuum physics --- Continuum physics. --- Fluids. --- Thermodynamics. --- Classical Continuum Physics. --- Fluid- and Aerodynamics. --- Classical and Continuum Physics. --- Chemistry, Physical and theoretical --- Dynamics --- Mechanics --- Heat --- Heat-engines --- Quantum theory --- Continuum mechanics. --- Hydraulics --- Hydrostatics --- Permeability

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This textbook presents a concise yet detailed introduction to quantum physics. Concise, because it condenses the essentials to a few principles. Detailed, because these few principles – necessarily rather abstract – are illustrated by several telling examples. A fairly complete overview of the conventional quantum mechanics curriculum is the primary focus, but the huge field of statistical thermodynamics is covered as well. The text explains why a few key discoveries shattered the prevailing broadly accepted classical view of physics. First, matter appears to consist of particles which, when propagating, resemble waves. Consequently, some observable properties cannot be measured simultaneously with arbitrary precision. Second, events with single particles are not determined, but are more or less probable. The essence of this is that the observable properties of a physical system are to be represented by non-commuting mathematical objects instead of real numbers. Chapters on exceptionally simple, but highly instructive examples illustrate this abstract formulation of quantum physics. The simplest atoms, ions, and molecules are explained, describing their interaction with electromagnetic radiation as well as the scattering of particles. A short introduction to many particle physics with an outlook on quantum fields follows. There is a chapter on maximally mixed states of very large systems, that is statistical thermodynamics. The following chapter on the linear response to perturbations provides a link to the material equations of continuum physics. Mathematical details which would hinder the flow of the main text have been deferred to an appendix. The book addresses university students of physics and related fields. It will attract graduate students and professionals in particular who wish to systematize or refresh their knowledge of quantum physics when studying specialized texts on solid state and materials physics, advanced optics, and other modern fields.

Physics. --- Quantum physics. --- Phase transformations (Statistical physics). --- Condensed materials. --- Condensed matter. --- Quantum Physics. --- Statistical Physics and Dynamical Systems. --- Quantum Gases and Condensates. --- Quantum theory. --- Statistical physics. --- Physics --- Mathematical statistics --- Quantum dynamics --- Quantum mechanics --- Quantum physics --- Mechanics --- Thermodynamics --- Statistical methods --- Condensed materials --- Condensed media --- Condensed phase --- Materials, Condensed --- Media, Condensed --- Phase, Condensed --- Liquids --- Matter --- Solids --- Phase changes (Statistical physics) --- Phase transitions (Statistical physics) --- Phase rule and equilibrium --- Statistical physics

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This textbook presents a concise yet detailed introduction to quantum physics. Concise, because it condenses the essentials to a few principles. Detailed, because these few principles – necessarily rather abstract – are illustrated by several telling examples. A fairly complete overview of the conventional quantum mechanics curriculum is the primary focus, but the huge field of statistical thermodynamics is covered as well. The text explains why a few key discoveries shattered the prevailing broadly accepted classical view of physics. First, matter appears to consist of particles which, when propagating, resemble waves. Consequently, some observable properties cannot be measured simultaneously with arbitrary precision. Second, events with single particles are not determined, but are more or less probable. The essence of this is that the observable properties of a physical system are to be represented by non-commuting mathematical objects instead of real numbers. Chapters on exceptionally simple, but highly instructive examples illustrate this abstract formulation of quantum physics. The simplest atoms, ions, and molecules are explained, describing their interaction with electromagnetic radiation as well as the scattering of particles. A short introduction to many particle physics with an outlook on quantum fields follows. There is a chapter on maximally mixed states of very large systems, that is statistical thermodynamics. The following chapter on the linear response to perturbations provides a link to the material equations of continuum physics. Mathematical details which would hinder the flow of the main text have been deferred to an appendix. The book addresses university students of physics and related fields. It will attract graduate students and professionals in particular who wish to systematize or refresh their knowledge of quantum physics when studying specialized texts on solid state and materials physics, advanced optics, and other modern fields.

Mathematical statistics --- Quantum mechanics. Quantumfield theory --- Statistical physics --- thermodynamica --- quantumfysica --- quantumtheorie --- statistiek --- fysica

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Das Buch vermittelt die mathematischen Kenntnisse und Fertigkeiten, die für ein Studium der Physik und verwandter Gebiete unerlässlich sind. Es orientiert sich an einem Übersichtsbuch des Verfassers zur Theoretischen Physik und behandelt nur solche Gegenstände, die wirklich benötigt werden. Es ist ein schlankes und auf Verständnis, Übersicht und Anwendung angelegtes Buch, das sich leicht lesen lässt. Von Beispielen ist daher sehr viel häufiger die Rede als von Beweisen. Es ist so gegliedert, dass schwierigere Abschnitte folgenlos ausgelassen werden können, wenn sie für das Studium nicht gebraucht werden. Das Buch ist damit sowohl für jeden Bachelor-Studiengang mit hohem Mathematikanteil geeignet als auch für ein einschlägiges Masterprogramm. Das Buch folgt den mathematischen Anforderungen des Studiums. Die Kapitel über Gewöhnliche Differentialgleichungen, Felder, Partielle Differentialgleichungen, Lineare Operatoren, Verschiedenes sowie Tiefere Einsichten stützen sich immer auf das Grundlagenkapitel: eine verknappte Zusammenfassung der Oberstufen-Mathematik. Das Kapitel über Lineare Operatoren kann ausgelassen werden, wenn Quantenphysik nicht auf dem Lehrplan steht. Das gilt für die Tieferen Einsichten sowieso. In das Buch ist ein Grundkurs über Angewandte Mathematik eingeflochten. Er behandelt die wichtigsten numerischen Verfahren für fast alle angesprochenen Gebiete. Die Beispiele sind in MATLAB formuliert. Eine ausreichend detaillierte Einführung in dieses Programmpaket findet man im Anhang. Ein umfangreiches Glossar rundet das Buch ab. Es erklärt die wichtigsten Begriffe, verweist auf Bezüge und stellt eine Zusammenfassung dieses Mathematikbuches zur Physik dar.

Mathematical physics. --- Mathematical analysis. --- Analysis (Mathematics). --- Computer mathematics. --- Theoretical, Mathematical and Computational Physics. --- Analysis. --- Computational Mathematics and Numerical Analysis. --- Computer science --- Mathematics.