Linear representation of energy-dependent Hamiltonians
نویسنده
چکیده
Quantum mechanics abounds in models with Hamiltonian operators which are energy-dependent. A linearization of the underlying Schrödinger equation with H = H(E) is proposed here via an introduction of a doublet of separate energyindependent representatives K and L of the respective right and left action of H(E). Both these new operators are non-Hermitian so that our formalism admits a natural extension to non-Hermitian initial H(E)s. Its applicability may range from pragmatic phenomenology and variational calculations (where all the subspace-projected effective operators depend on energy by construction) up to perturbation theory and quasi-exact constructions. PACS 02.30.Tb 03.65Ca 03.65.Db 03.65.Ge
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