Pseudo-Hermitian Quantum Mechanics with Unbounded Metric Operators

Details Pseudo-Hermitian Quantum Mechanics with Unbounded Metric Operators Pseudo-Hermitian Quantum Mechanics with Unbounded Metric Operators

2012-03-28

arxiv.org/abs/1203.6241v1

Physics

Mathematical Physics

7 pages

Scientific paper

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.

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