Pseudo-Hermitian Quantum Mechanics with Unbounded Metric Operators
Mathematical Physics
2015-06-04 v5 math.MP
Quantum Physics
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.
Cite
@article{arxiv.1203.6241,
title = {Pseudo-Hermitian Quantum Mechanics with Unbounded Metric Operators},
author = {Ali Mostafazadeh},
journal= {arXiv preprint arXiv:1203.6241},
year = {2015}
}
Comments
8 pages, accepted for publication in Phil. Trans. R. Soc. A