Quaternionic quantum mechanics and quantum fields
著者
書誌事項
Quaternionic quantum mechanics and quantum fields
（The international series of monographs on physics, 88）
Oxford University Press, 1995
- : alk. paper
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注記
Bibliography: p. 553-562
Includes index
内容説明・目次
内容説明
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.
目次
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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