Odd Dimensional Translation between Complex and Quaternionic Quantum Mechanics

概要

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We complete the rules of translation between standard complex quantum mechanics (CQM) and quaternionic quantum mechanics (QQM) with complex geometry In particular. we describe the way in which (2-n+1)-dimensional complex matrices are reduced to overlapping (n+1)-dimensional quaternionic matrices with generalized quaternionic elements. This step resolves an outstanding difficulty with reduction of purely complex matrix groups within quaternionic QM and avoids anomalous eigenstates. As a result we present a more complete translation from CQM to QQM and vice versa.
理論物理学刊行会の論文
1996-07-25