Thursday, March 29, 2012

1203.6241 (Ali Mostafazadeh)

Pseudo-Hermitian Quantum Mechanics with Unbounded Metric Operators    [PDF]

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.
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