{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,3,4]],"date-time":"2025-03-04T05:46:06Z","timestamp":1741067166061,"version":"3.38.0"},"reference-count":35,"publisher":"SAGE Publications","issue":"1","license":[{"start":{"date-parts":[[1991,3,1]],"date-time":"1991-03-01T00:00:00Z","timestamp":667785600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/journals.sagepub.com\/page\/policies\/text-and-data-mining-license"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["The International Journal of Supercomputing Applications"],"published-print":{"date-parts":[[1991,3]]},"abstract":"<jats:p> The electronic structure Schr\u00f6dinger equation is solved for the van der Waals complexes spin-polarized H<jats:sub>2<\/jats:sub> and H<jats:sub>3<\/jats:sub>, and the closed-shell systems He<jats:sub>2<\/jats:sub> and He<jats:sub>3<\/jats:sub> by Monte Carlo methods. Two types of calculations are performed, variational Monte Carlo, which gives an upper bound to the eigenvalue of the Schr\u00f6dinger equation, and Green's function Monte Carlo, which can solve the Schr\u00f6dinger equation exactly within statistical sampling errors. The simulations are carried out on an ETA-10 supercom puter, and already existing computer codes were exten sively modified to ensure highly efficient coding. A major component of the computations was the develop ment of highly optimized many-electron wave functions. The results from the variational Monte Carlo simulations are reported for both the two- and three-body interac tion energies. <\/jats:p>","DOI":"10.1177\/109434209100500104","type":"journal-article","created":{"date-parts":[[2007,3,18]],"date-time":"2007-03-18T05:39:00Z","timestamp":1174196340000},"page":"57-71","source":"Crossref","is-referenced-by-count":2,"title":["Accurate First Principles Calculation of Many-Body Interactions"],"prefix":"10.1177","volume":"5","author":[{"given":"Gregory J.","family":"Tawa","sequence":"first","affiliation":[{"name":"CHEMISTRY DEPARTMENT NEW YORK UNIVERSITY NEW YORK NEW\rYORK 10003"}]},{"given":"Jules W.","family":"Moskowitz","sequence":"additional","affiliation":[{"name":"CHEMISTRY DEPARTMENT NEW YORK UNIVERSITY NEW YORK NEW\rYORK 10003"}]},{"given":"Paula A.","family":"Whitlock","sequence":"additional","affiliation":[{"name":"COURANT INSTITUTE OF MATHEMATICAL SCIENCES NEW YORK,\rNEW YORK 10012"}]},{"given":"Kevin E.","family":"Schmidt","sequence":"additional","affiliation":[{"name":"PHYSICS DEPARTMENT ARIZONA STATE UNIVERSITY TEMPE, ARIZONA\r85287"}]}],"member":"179","published-online":{"date-parts":[[1991,3,1]]},"reference":[{"key":"atypb1","doi-asserted-by":"publisher","DOI":"10.1063\/1.431514"},{"key":"atypb2","doi-asserted-by":"publisher","DOI":"10.1080\/00268978700101941"},{"key":"atypb3","doi-asserted-by":"publisher","DOI":"10.1063\/1.438007"},{"key":"atypb4","doi-asserted-by":"publisher","DOI":"10.1002\/andp.19273892002"},{"key":"atypb5","doi-asserted-by":"publisher","DOI":"10.1063\/1.452240"},{"key":"atypb6","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.16.3081"},{"key":"atypb7","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-96483-1_4"},{"key":"atypb8","doi-asserted-by":"publisher","DOI":"10.1063\/1.450581"},{"key":"atypb9","doi-asserted-by":"publisher","DOI":"10.1021\/cr00088a007"},{"key":"atypb10","doi-asserted-by":"publisher","DOI":"10.1063\/1.457045"},{"key":"atypb11","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.2.250"},{"key":"atypb12","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.24.115"},{"key":"atypb13","doi-asserted-by":"publisher","DOI":"10.1063\/1.1697142"},{"key":"atypb14","doi-asserted-by":"publisher","DOI":"10.1016\/0009-2614(74)80155-7"},{"key":"atypb15","doi-asserted-by":"publisher","DOI":"10.1063\/1.445966"},{"key":"atypb16","doi-asserted-by":"publisher","DOI":"10.1146\/annurev.pc.41.100190.001435"},{"key":"atypb17","doi-asserted-by":"publisher","DOI":"10.1063\/1.439528"},{"key":"atypb18","doi-asserted-by":"publisher","DOI":"10.1063\/1.457043"},{"key":"atypb19","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.22.14"},{"key":"atypb20","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRev.38.747"},{"key":"atypb21","doi-asserted-by":"publisher","DOI":"10.1080\/00268978400101171"},{"key":"atypb22","doi-asserted-by":"publisher","DOI":"10.1063\/1.447063"},{"key":"atypb23","doi-asserted-by":"publisher","DOI":"10.1063\/1.1699114"},{"key":"atypb24","unstructured":"Mohan, V., and Anderson, J.B. 1990. Quantum chemistry by random walk: energies of helium dimers and trimers. In Quantum simulation of condensed matter phenomena , edited by J. D. Doll and J. E. Gubernatis. 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