An alternative construction of the positive inner product in non-Hermitian quantum mechanics
arXiv:0905.1454 · doi:10.1016/j.physletb.2009.06.060
Abstract
Within the context of non-Hermitian quantum mechanics, we use the generators of eigenvectors of the Hamiltonian to construct a unitary inner product space. Such models have been of interest in recent years, for instance, in the context of symmetry, although our construction extends to the larger class of so-called pseudo-Hermitian Operators. We provide a detailed example to illustrate the concept and compare with known results.
11 pages, some minor typos fixed, to appear in Physics Letters B
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