Three and four centre oscillators and their application in nuclear physics

  • The extension of the nuclear two-centre-oscillator to three and four centres is investigated. Some special symmetry-properties are required. In two cases an analytical solution of the Schrödinger equation is possible. A numerical procedure is developed which enables the diagonalization of the Hamiltonian in a non-orthogonal basis without applying Schmidt's method of orthonormalization. This is important for calculations of arbitrary two-dimensional arrangements of the centres.

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Metadaten
Author:Peter Bergmann, Hans-Joachim Scheefer
URN:urn:nbn:de:hebis:30:3-739979
DOI:https://doi.org/10.1515/zna-1974-0703
ISSN:1865-7109
Parent Title (German):Zeitschrift für Naturforschung, A
Publisher:Verlag der Zeitschrift für Naturforschung
Place of publication:Tübingen
Document Type:Article
Language:English
Date of Publication (online):2014/06/02
Year of first Publication:1974
Publishing Institution:Universitätsbibliothek Johann Christian Senckenberg
Release Date:2023/06/27
Volume:29
Issue:7
Page Number:8
First Page:1003
Last Page:1010
HeBIS-PPN:510431739
Institutes:Physik
Dewey Decimal Classification:5 Naturwissenschaften und Mathematik / 53 Physik / 530 Physik
Sammlungen:Universitätspublikationen
Licence (German):License LogoCreative Commons - Namensnennung-Nicht kommerziell-Keine Bearbeitung 3.0