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$η$-weak-Pseudo-Hermiticity generators and exact solvability

arXiv:quant-ph/0604106 · doi:10.1016/j.physleta.2006.06.027

Abstract

Exact solvability of some non-Hermitian $η$-weak-pseudo-Hermitian Hamiltonians is explored as a byproduct of $η$-weak-pseudo-Hermiticity generators. A class of V_{eff}(x)=V(x)+iW(x) potentials is considered, where the imaginary part W(x) is used as an $η$-weak-pseudo-Hermiticity generator to obtain exactly solvable $η$-weak-pseudo-Hermitian Hamiltonian models.

8 pages, no figures, to appear in Phys. Lett. A