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Local Gaussian approximation in the generator coordinate method

Abstract

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.
Authors:
Onishi, N; [1]  Une, Tsutomu
  1. Tokyo Univ. (Japan). Coll. of General Education
Publication Date:
Feb 01, 1975
Product Type:
Journal Article
Reference Number:
AIX-07-258163; EDB-77-016373
Resource Relation:
Journal Name: Prog. Theor. Phys. (Kyoto); (Japan); Journal Volume: 53:2
Subject:
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
OSTI ID:
7138831
Country of Origin:
Japan
Language:
English
Other Identifying Numbers:
Journal ID: CODEN: PTPKA
Submitting Site:
INIS
Size:
Pages: 504-515
Announcement Date:

Citation Formats

Onishi, N, and Une, Tsutomu. Local Gaussian approximation in the generator coordinate method. Japan: N. p., 1975. Web. doi:10.1143/PTP.53.504.
Onishi, N, & Une, Tsutomu. Local Gaussian approximation in the generator coordinate method. Japan. doi:10.1143/PTP.53.504.
Onishi, N, and Une, Tsutomu. 1975. "Local Gaussian approximation in the generator coordinate method." Japan. doi:10.1143/PTP.53.504. https://www.osti.gov/servlets/purl/10.1143/PTP.53.504.
@misc{etde_7138831,
title = {Local Gaussian approximation in the generator coordinate method}
author = {Onishi, N, and Une, Tsutomu}
abstractNote = {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.}
doi = {10.1143/PTP.53.504}
journal = {Prog. Theor. Phys. (Kyoto); (Japan)}
volume = {53:2}
journal type = {AC}
place = {Japan}
year = {1975}
month = {Feb}
}