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Linear representation of energy-dependent Hamiltonians
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SYSNO ASEP 0101868 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Ostatní články Title Linear representation of energy-dependent Hamiltonians Title Lineární reprezentace Hamiltoniánů závislých na energii Author(s) Znojil, Miloslav (UJF-V) RID, ORCID, SAI Source Title Physics Letters. A. - : Elsevier - ISSN 0375-9601
Roč. 326, 1/2 (2004), s. 70-76Number of pages 7 s. Language eng - English Country NL - Netherlands Keywords energy-dependent Hamiltonians ; Quasi-Hermitian linear representation Subject RIV BE - Theoretical Physics R&D Projects IAA1048302 GA AV ČR - Academy of Sciences of the Czech Republic (AV ČR) CEZ AV0Z1048901 - UJF-V Annotation 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 Workplace Nuclear Physics Institute Contact Markéta Sommerová, sommerova@ujf.cas.cz, Tel.: 266 173 228 Year of Publishing 2005
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