Pseudo-Hermitian Quantum Mechanics with Unbounded Metric Operators

Ali Mostafazadeh

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 its positive square root.

http://arxiv.org/abs/1203.6241
Mathematical Physics (math-ph); Quantum Physics (quant-ph)

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