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Methods of modern mathematical physics / Michael Reed and Barry Simon .

By: Contributor(s): Material type: TextTextPublication details: Academic Press: San Diego, 1975.Description: 5vISBN:
  • 0125850026 (Volume II)
  • 0125850042 (Volume IV)
Subject(s): DDC classification:
  • 23 R325 530.15
Contents:
V2: IX. The Fourier Transform-- X. Self-Adjointness and the existence of dynamics-- V4: XII. Perturbation of point spectra-- XIII. Spectral analysis--
Summary: V2: This volume will serve several purposes: to provide an introduction for graduate students not previously acquainted with the material, to serve as a reference for mathematical physicists already working in the field, and to provide an introduction to various advanced topics which are difficult to understand in the literature. Not all the techniques and application are treated in the same depth. In general, we give a very thorough discussion of the mathematical techniques and applications in quatum mechanics, but provide only an introduction to the problems arising in quantum field theory, classical mechanics, and partial differential equations. Finally, some of the material developed in this volume will not find applications until Volume III. For all these reasons, this volume contains a great variety of subject matter. To help the reader select which material is important for him, we have provided a "Reader's Guide" at the end of each chapter.Summary: V4: This revision will make this book mroe attractive as a textbook in functional analysis. Further refinement of coverage of physical topics will also reinforce its well-established use as a course book in mathemtical physics.
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V2: Fourier analysis, self-adjointness
V4 : Analysis of operators

Includes index.

V2: IX. The Fourier Transform--
X. Self-Adjointness and the existence of dynamics--

V4: XII. Perturbation of point spectra--
XIII. Spectral analysis--

V2: This volume will serve several purposes: to provide an introduction for graduate students not previously acquainted with the material, to serve as a reference for mathematical physicists already working in the field, and to provide an introduction to various advanced topics which are difficult to understand in the literature. Not all the techniques and application are treated in the same depth. In general, we give a very thorough discussion of the mathematical techniques and applications in quatum mechanics, but provide only an introduction to the problems arising in quantum field theory, classical mechanics, and partial differential equations. Finally, some of the material developed in this volume will not find applications until Volume III. For all these reasons, this volume contains a great variety of subject matter. To help the reader select which material is important for him, we have provided a "Reader's Guide" at the end of each chapter.

V4: This revision will make this book mroe attractive as a textbook in functional analysis. Further refinement of coverage of physical topics will also reinforce its well-established use as a course book in mathemtical physics.

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