C-symmetric Hamiltonian systems with almost constant coefficients
Autor(en): | Behncke, Horst Hinton, Don |
Stichwörter: | C-Symmetric Hamiltonian systems; DIFFERENTIAL-OPERATORS; essential spectrum; Green's functions; m-functions; Mathematics; Mathematics, Applied; non-selfadjoint operators; SIMS-WEYL THEORY; singular operators; SPECTRAL THEORY | Erscheinungsdatum: | 2019 | Herausgeber: | EUROPEAN MATHEMATICAL SOC | Journal: | JOURNAL OF SPECTRAL THEORY | Volumen: | 9 | Ausgabe: | 2 | Startseite: | 513 | Seitenende: | 546 | Zusammenfassung: | We consider a C-Symmetric Hamiltonian System of differential equations on a half interval or the real line. We determine the spectrum and construct the resolvent for the system. The essential spectrum is found to be a subset of an algebraic curve Sigma defined by a characteristic polynomial for the system. The results are first proved for a constant coefficient system and then for an almost constant coefficient system. The results are applied to a number of examples including the complex hydrogen atom and the complex relativistic electron. |
ISSN: | 1664039X | DOI: | 10.4171/JST/254 |
Zur Langanzeige