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Prog. Theor. Phys. Vol. 96 No. 1 (1996) pp. 247-255

[ Full Text PDF : FREE ACCESS (404K) ]

Odd Dimensional Translation between Complex and Quaternionic Quantum Mechanics

Stefano De Leo and Pietro Rotelli

Dipartmento di Fisica, Università di Lecce, Istituto Nazionale di Fisica Nucleare, sezione di Lecce, Lecce, 73100

(Received December 5, 1995)

Abstract:

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 (2n + 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.


URL : http://ptp.ipap.jp/link?PTP/96/247/
DOI : 10.1143/PTP.96.247

[ Full Text PDF : FREE ACCESS (404K) ] Citation:

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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 96 No. 4 (1996) pp. 823-831 :
    Octonionic Quantum Mechanics and Complex Geometry
    Stefano De Leo and Khaled Abdel-Khalek

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