ENERGY INDEPENDENT HERMITIAN AND NON-HERMITIAN EFFECTIVE OPERATORS

We utilize a recently developed formalism for the construction of effe ctive operators to discuss the construction of and relation between he rmitian and non-hermitian effective operators in the energy independen t Suzuki and Lee approach. Our original formalism is applicable to ope rators that need not be hermitian or quasi-hermitian in the full space (e.g. operators obtained by boson mapping). Here we show that if the full space Hamiltonian of the system is indeed hermitian, results of t he formalism can be expressed and interpreted in the context of quasi- hermitian operators to facilitate a transparent construction of effect ive operators which are energy independent and manifestly hermitian.