Quaternionic quantum mechanics and quantum fields

Bibliographic Information

Quaternionic quantum mechanics and quantum fields

Stephen L. Adler

(The international series of monographs on physics, 88)

Oxford University Press, 1995

  • : alk. paper

Available at  / 28 libraries

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Note

Bibliography: p. 553-562

Includes index

Description and Table of Contents

Description

This book presents a new formulation of quantum mechanics using quaternionic, rather than complex, numbers. The author is a highly respected theoretical physicist who has been working on quaternionic quantum mechanics for the last fourteen years. The author clearly explicates the relations between quaternionic, complex and real quantum mechanics, and the book is certain to be a major contribution to theoretical physics. Accessible to readers with a first-year graduate level quantum mechanics course.

Table of Contents

PART I: INTRODUCTION AND GENERAL FORMALISM 1: Introduction 2: General Framework of Quaternionic Quantum Mechanics 3: Further General Results in Quaternionic Quantum Mechanics PART II: NON-RELATIVISTIC QUATERNIONIC QUANTUM MECHANICS 4: One-Particle Quantum Mechanics--General Formalism 5: Stationary State Methods and Phase Methods 6: Scattering Theory and Bound States 7: Methods for Time-Development 8: Single Channel Time-Dependent Formal Scattering Theory 9: Multi-Particle and Multi-Channel Methods 10: Further Multi-Particle Topics PART III: RELATIVISTIC QUATERNIONIC QUANTUM MECHANICS 11: Relativistic Single Particle Wave Equations Spin-0 and Spin-1/2 12: More on Relativistic Wave Equations: The Spin-1 Gauge Potential, Lagrangian Formulations, and the Poincare Group 13: Quaternionic Quantum Field Theory 14: Outlook Appendix A: Proof of the Jacobi Identity for the Generalized Poisson Bracket Appendix B: Derivation of Gaussian Integral Formulas

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