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Books in Physics

Physics titles offer comprehensive research and advancements across the fundamental and applied areas of physical science. From quantum mechanics and particle physics to astrophysics and materials science, these titles drive innovation and deepen understanding of the principles governing the universe. Essential for researchers, educators, and students, this collection supports scientific progress and practical applications across a diverse range of physics disciplines.

    • Quantum Probability

      • 1st Edition
      • August 28, 1988
      • Stanley P. Gudder
      • English
      • Hardback
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      • Paperback
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      • eBook
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      Quantum probability is a subtle blend of quantum mechanics and classical probability theory. Its important ideas can be traced to the pioneering work of Richard Feynman in his path integral formalism.Only recently have the concept and ideas of quantum probability been presented in a rigorous axiomatic framework, and this book provides a coherent and comprehensive exposition of this approach. It gives a unified treatment of operational statistics, generalized measure theory and the path integral formalism that can only be found in scattered research articles.The first two chapters survey the necessary background in quantum mechanics and probability theory and therefore the book is fairly self-contained, assuming only an elementary knowledge of linear operators in Hilbert space.
    • Mathematical Physics

      • 1st Edition
      • Volume 152
      • June 1, 1988
      • R. Carroll
      • English
      • Paperback
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      • eBook
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      An introduction to the important areas of mathematical physics, this volume starts with basic ideas and proceeds (sometimes rapidly) to a more sophisticated level, often to the context of current research.All of the necessary functional analysis and differential geometry is included, along with basic calculus of variations and partial differential equations (linear and nonlinear). An introduction to classical and quantum mechanics is given with topics in Feynman integrals, gauge fields, geometric quantization, attractors for PDE, Ginzburg-Landau Equations in superconductivity, Navier-Stokes equations, soliton theory, inverse problems and ill-posed problems, scattering theory, convex analysis, variational inequalities, nonlinear semigroups, etc. Contents: 1. Classical Ideas and Problems. Introduction. Some Preliminary Variational Ideas. Various Differential Equations and Their Origins. Linear Second Order PDE. Further Topics in the Calculus of Variations. Spectral Theory for Ordinary Differential Operators, Transmutation, and Inverse Problems. Introduction to Classical Mechanics. Introduction to Quantum Mechanics. Weak Problems in PDE. Some Nonlinear PDE. Ill-Posed Problems and Regularization. 2. Scattering Theory and Solitons. Introduction. Scattering Theory I (Operator Theory). Scattering Theory II (3-D). Scattering Theory III (A Medley of Themes). Scattering Theory IV (Spectral Methods in 3-D). Systems and Half Line Problems. Relations between Potentials and Spectral Data. Introduction to Soliton Theory. Solitons via AKNS Systems. Soliton Theory (Hamiltonian Structure). Some Topics in Integrable Systems. 3. Some Nonlinear Analysis: Some Geometric Formalism. Introduction. Nonlinear Analysis. Monotone Operators. Topological Methods. Convex Analysis. Nonlinear Semigroups and Monotone Sets. Variational Inequalities. Quantum Field Theory. Gauge Fields (Physics). Gauge Fields (Mathematics) and Geometric Quantization. Appendices: Introduction to Linear Functional Analysis. Selected Topics in Functional Analysis. Introduction to Differential Geometry. References. Index.
    • Progress in Optics

      • 1st Edition
      • Volume 25
      • May 1, 1988
      • English
      • eBook
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      This volume is a jubilee issue and contains some specially designed computer generated holograms for this occasion, together with a description of how to obtain the holographic effect.
    • Progress in Optics

      • 1st Edition
      • Volume 26
      • May 1, 1988
      • English
      • eBook
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    • Problems in Distributions and Partial Differential Equations

      • 1st Edition
      • Volume 143
      • April 1, 1988
      • C. Zuily
      • English
      • eBook
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      The aim of this book is to provide a comprehensive introduction to the theory of distributions, by the use of solved problems. Although written for mathematicians, it can also be used by a wider audience, including engineers and physicists.The first six chapters deal with the classical theory, with special emphasis on the concrete aspects. The reader will find many examples of distributions and learn how to work with them. At the beginning of each chapter the relevant theoretical material is briefly recalled. The last chapter is a short introduction to a very wide and important field in analysis which can be considered as the most natural application of distributions, namely the theory of partial differential equations. It includes exercises on the classical differential operators and on fundamental solutions, hypoellipticity, analytic hypoellipticity, Sobolev spaces, local solvability, the Cauchy problem, etc.
    • Synergetics and Dynamic Instabilities

      • 1st Edition
      • January 1, 1988
      • G. Caglioti + 2 more
      • English
      • eBook
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      This collection of papers presented at the Enrico Fermi School considers the subject of synergetics as a firmly established field of interdisciplinary research, ranging from physics, chemistry and biology, to subjects like economy and sociology. These proceedings focus on the natural sciences.
    • Neutron Scattering

      • 1st Edition
      • Volume 23B
      • November 10, 1987
      • English
      • eBook
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