Abstract
A recent paper by Jones-Smith and Mathur, Phys. Rev. A 82, 042101 (2010) extends -symmetric quantum mechanics from bosonic systems (systems for which ) to fermionic systems (systems for which ). The current paper shows how the formalism developed by Jones-Smith and Mathur can be used to construct -symmetric matrix representations for operator algebras of the form , , , where . It is easy to construct matrix representations for the Grassmann algebra (). However, one can only construct matrix representations for the fermionic operator algebra () if ; a matrix representation does not exist for the conventional value .
- Received 27 April 2011
DOI:https://doi.org/10.1103/PhysRevA.84.024102
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