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Prog. Theor. Phys. Vol. 96 No. 4 (1996) pp. 823-831

[ Full Text PDF : FREE ACCESS (399K) ]

Octonionic Quantum Mechanics and Complex Geometry

Stefano De Leo*,** and Khaled Abdel-Khalek**

*Dipartimento di Fisica, Università di Lecce, Lecce 73100
**Istituto Nazionale di Fisica Nucleare, Sezione di Lecce, Lecce 73100

(Received June 5, 1996)

Abstract:

The use of complex geometry allows us to obtain a consistent formulation of octonionic quantum mechanics (OQM). In our octonionic formulation we solve the hermiticity problem and define an appropriate momentum operator within OQM. The nonextendability of the completeness relation and the norm conservation is also discussed in detail.


URL : http://ptp.ipap.jp/link?PTP/96/823/
DOI : 10.1143/PTP.96.823

[ Full Text PDF : FREE ACCESS (399K) ] Citation:


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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 96 No. 4 (1996) pp. 833-845 :
    Octonionic Dirac Equation
    Stefano De Leo and Khaled Abdel-Khalek