Schwinger algebra for quaternionic quantum mechanics

被引：0
|
作者：
L. P. Horwitz
机构：
[1] Tel Aviv University,School of Physics and Astronomy, Raymond and Beverly Sackler Faculty of Exact Sciences
[2] Bar Ilan University,Department of Physics
来源：
Foundations of Physics | 1997年 / 27卷
关键词：
Abelian Case; Hilbert Module; Measurement Algebra; Quaternionic Quantum; Measurement Symbol;
D O I：
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学科分类号：
摘要：
It is shown that the measurement algebra of Schwinger, a characterization of the properties of Pauli measurements of the first and second kinds, forming the foundation of his formulation of quantum mechanics over the complex field, has a quaternionic generalization. In this quaternionic measurement algebra some of the notions of quaternionic quantum mechanics are clarified. The conditions imposed on the form of the corresponding quantum field theory are studied, and the quantum fields are constructed. It is shown that the resulting quantum fields coincide with the fermion or boson annihilation-creation operators obtained by Razon and Horwitz in the limit in which the number of particles in physical states N→∞.
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页码：1011 / 1034
页数：23
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