Abstract
Abstract
In 1992, Scholtz et al. (Ann. Phys., 213 (1992) 74) showed that a set of non-Hermitian operators can represent observables of a closed unitary quantum system, provided only that its elements are quasi-Hermitian (i.e., roughly speaking, Hermitian with respect to an ad hoc inner-product metric). We show that such a version of quantum mechanics admits a simultaneous closed-form representation of the metric
and of the observables
,
in terms of auxiliary operators Z
k
with
. At N = 2 the formalism degenerates to the well-known
quantum mechanics using factorized metric
, where
is parity and where
is charge.
Subject
General Physics and Astronomy
Cited by
2 articles.
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