0101868 - UJF-V 20043051 RIV NL eng J - Journal Article
Znojil, Miloslav
Linear representation of energy-dependent Hamiltonians.
[Lineární reprezentace Hamiltoniánů závislých na energii.]
Physics Letters. A. Roč. 326, 1/2 (2004), s. 70-76. ISSN 0375-9601. E-ISSN 1873-2429
R&D Projects: GA AV ČR IAA1048302
Institutional research plan: CEZ:AV0Z1048901
Keywords : energy-dependent Hamiltonians * Quasi-Hermitian linear representation
Subject RIV: BE - Theoretical Physics
Impact factor: 1.454, year: 2004

Quantum mechanics abounds in models with Hamiltonian operators which are energy-dependent. A linearization of the underlying Schrodinger equation with H = H(E) is proposed here via an introduction of a doublet of separate energy-independent 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

Hamiltoniánům H(E) závislým na energii E je přiřazena dvojice K a L (= pravý a levý) nehermitovských reprezentantů nezávislých na energii. Formalismus snadno připouští i nehermitovost výchozího Hamiltoniánu. Zdůrazněna široká aplikovatelnost.
Permanent Link: http://hdl.handle.net/11104/0009255