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Phys. Rev. D 33, 1666–1673 (1986)

Grassmann oscillator

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R. Finkelstein and M. Villasante
Department of Physics, University of California, Los Angeles, California 90024

Received 18 October 1985; published in the issue dated 15 March 1986

The quantum mechanics of the oscillator with anticommuting coordinates is discussed. The relation of this oscillator to the super Poincaré group is described. In the analysis one is led to introduce the Grassmann extension of Hermite and of Bargmann-Wigner functions.

© 1986 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.33.1666
DOI:
10.1103/PhysRevD.33.1666
PACS:
03.65.Ca, 11.30.Cp