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arXiv · 1203.6241

Pseudo-Hermitian Quantum Mechanics with Unbounded Metric Operators

Ali Mostafazadeh
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Abstract

We extend the formulation of pseudo-Hermitian quantum mechanics to eta-pseudo-Hermitian Hamiltonian operators H with an unbounded metric operator eta. In particular, we give the details of the construction of the physical Hilbert space, observables, and equivalent Hermitian Hamiltonian for the case that H has a real and discrete spectrum and its eigenvectors belong to the domain of eta and consequently its positive square root.

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Ali Mostafazadeh. 2012-12-18. Pseudo-Hermitian Quantum Mechanics with Unbounded Metric Operators. https://doi.org/10.1098/rsta.2012.0050

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