Elements of Green's functions and propagation : potentials, diffusion, and waves

著者

書誌事項

Elements of Green's functions and propagation : potentials, diffusion, and waves

G. Barton

Clarendon Press , Oxford University Press, 1989

  • : pbk.

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注記

Bibliography: p. [454]-457

Includes index

内容説明・目次

巻冊次

ISBN 9780198519881

内容説明

Green's functions are used in this text to explore the physics of potentials, diffusion and waves. These are phenomena of classical physics in their own right, but this study of the partial differential equations describing them also prepares the student for more advanced applications in many-body physics and field theory. Calculations are intended to be used for self-study and case histories illustrate the interplay between physical insight and mathematical formalism. The aim of the study is to develop the habit of dialogue with the equations and the craftsmanship this fosters in tackling problems.

目次

  • Part 1 Introduction: the dirac delta function
  • ordinary differential equations
  • partial differential equations - a preview. Part 2 Potentials: Poisson's equation - introduction
  • - dirichlet problems
  • - Neumann problems
  • - some points of principle. Part 3 Diffusion: the diffusion equation - unbounded space
  • - general theory. Part 4 Waves: the wave equation - general theory
  • - unbounded space
  • - examples. Part 5 The Helmholtz equation and diffraction.
巻冊次

: pbk. ISBN 9780198519980

内容説明

This text takes the student with a background in the standard undergraduate courses in physics and mathematics towards the skills and insights needed for graduate work in theoretical physics. The author uses Green's functions to explore the physics of potentials, diffusion and waves. These are important phenomena of classical physics in their own right, but this study of the partial differential equations describing them also prepares the student for more advanced applications in many-body physics and field theory. Calculations are carried through in enough detail for self-study, and case histories illustrate the interplay between physical insight and mathematical formalism. The aim is to develop the habit of dialogue with the equations and the craftsmanship this fosters in tackling problems.

目次

  • Part 1 Introduction: the dirac delta function
  • ordinary differential equations
  • partial differential equations - a preview. Part 2 Potentials: Poisson's equation - introduction
  • - dirichlet problems
  • - Neumann problems
  • - some points of principle. Part 3 Diffusion: the diffusion equation - unbounded space
  • - general theory. Part 4 Waves: the wave equation - general theory
  • - unbounded space
  • - examples. Part 5 The Helmholtz equation and diffraction.

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