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## On Pseudo-Hermitian Hamiltonians

Soumendu Sundar Mukherjee, Pinaki Roy

We investigate some questions on the construction of $$\eta$$ operators for pseudo-Hermitian Hamiltonians. We give a sufficient condition which can be exploited to systematically generate a sequence of $$\eta$$ operators starting from a known one, thereby proving the non-uniqueness of $$\eta$$ for a particular pseudo-Hermitian Hamiltonian. We also study perturbed Hamiltonians for which $$\eta$$’s corresponding to the original Hamiltonian still work.

http://arxiv.org/abs/1401.5255
Quantum Physics (quant-ph)