"TITLE","AUTHORS","SUBJECT","SUBJECT_RELATED","DESCRIPTION","PUBLISHER","AVAILABILITY","RESEARCH_ORG","SPONSORING_ORG","PUBLICATION_COUNTRY","PUBLICATION_DATE","CONTRIBUTING_ORGS","LANGUAGE","RESOURCE_TYPE","TYPE_QUALIFIER","JOURNAL_ISSUE","JOURNAL_VOLUME","RELATION","COVERAGE","FORMAT","IDENTIFIER","REPORT_NUMBER","DOE_CONTRACT_NUMBER","OTHER_IDENTIFIER","DOI","RIGHTS","ENTRY_DATE","OSTI_IDENTIFIER","PURL_URL" "Local Gaussian approximation in the generator coordinate method","Onishi, N [Tokyo Univ. (Japan). Coll. of General Education]; Une, Tsutomu","71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; SCHROEDINGER EQUATION; MOTION; ANNIHILATION OPERATORS; BOSONS; COLLECTIVE MODEL; GAUSS FUNCTION; GENERATOR-COORDINATE METHOD; HILL EQUATION; HILL-WHEELER THEORY; KERNELS; QUASI PARTICLES; RANDOM PHASE APPROXIMATION; WAVE FUNCTIONS; DIFFERENTIAL EQUATIONS; EQUATIONS; FUNCTIONS; MATHEMATICAL MODELS; MATHEMATICAL OPERATORS; NUCLEAR MODELS; QUANTUM OPERATORS; WAVE EQUATIONS; 657002* - Theoretical & Mathematical Physics- Classical & Quantum Mechanics","","A transformation from a non-orthogonal representation to an orthogonal representation of wave functions is studied in the generator coordinate method. A differential equation can be obtained by the transformation for a case that the eigenvalue equation of the overlap kernel is solvable. By assuming local Gaussian overlap, we derive a Schroedinger-type equation for the collective motion from the Hill-Wheeler integral equation.","","","","","Japan","1975-02-01","","English","Journal Article","","","53:2","Journal Name: Prog. Theor. Phys. (Kyoto); (Japan); Journal Volume: 53:2","","Medium: X; Size: Pages: 504-515","","","","Journal ID: CODEN: PTPKA","https://doi.org/10.1143/PTP.53.504","","2010-12-30","7138831",""