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Introduction to the functional formulation of quantum mechanics / Horacio Oscar Girotti.

By: Material type: TextTextPublication details: Singapore : World Scientific c2013.Description: xi, 185 p. : illustrations ; 24 cmISBN:
  • 9789814520492 (hardcover : alk. paper)
Subject(s): DDC classification:
  • 530.12 23 G527
Contents:
Preface-- 1. Correspondence rules. the phase space path integral-- 2. Schwinger equations-- 3. Generating functional of green functions-- 4. Constrained systems-- 5. Noncommutative systems-- Appendix A Some useful integrals-- Appendix B Preliminaries on functional analysis-- B.1 Functional differentiation-- B.2 Functional integrals-- B.2.1 Functional integrals over real functions-- B.2.2 Functional integrals over complex functions-- B.2.3 Change of variables in the functional integral-- B.2.4 Functional Fourier transform-- Bibliography-- Index--
Summary: This book contains functional formulation of quantum mechanics and relativistic quantum field theories are widely studied subjects. Nevertheless, certain aspects of this formulation are frequently overlooked, in spite of their relevance from a structural point of view. This book aims at filling up this gap. The non-relativistic regime has been found particularly appropriate for these purposes.
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Includes bibliographical references (pages 181-184) and index.

Preface--
1. Correspondence rules. the phase space path integral--
2. Schwinger equations--
3. Generating functional of green functions--
4. Constrained systems--
5. Noncommutative systems--

Appendix A Some useful integrals--
Appendix B Preliminaries on functional analysis--
B.1 Functional differentiation--
B.2 Functional integrals--
B.2.1 Functional integrals over real functions--
B.2.2 Functional integrals over complex functions--
B.2.3 Change of variables in the functional integral--
B.2.4 Functional Fourier transform--

Bibliography--
Index--

This book contains functional formulation of quantum mechanics and relativistic quantum field theories are widely studied subjects. Nevertheless, certain aspects of this formulation are frequently overlooked, in spite of their relevance from a structural point of view. This book aims at filling up this gap. The non-relativistic regime has been found particularly appropriate for these purposes.

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