{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T11:05:28Z","timestamp":1740135928374,"version":"3.37.3"},"reference-count":0,"publisher":"Wiley","issue":"1-4","license":[{"start":{"date-parts":[[2000,1,1]],"date-time":"2000-01-01T00:00:00Z","timestamp":946684800000},"content-version":"vor","delay-in-days":730,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"funder":[{"DOI":"10.13039\/100000181","name":"AFOSR","doi-asserted-by":"crossref","id":[{"id":"10.13039\/100000181","id-type":"DOI","asserted-by":"crossref"}]},{"DOI":"10.13039\/100009224","name":"ARPA","doi-asserted-by":"crossref","id":[{"id":"10.13039\/100009224","id-type":"DOI","asserted-by":"crossref"}]},{"name":"ONR"}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["VLSI Design"],"published-print":{"date-parts":[[1998,1]]},"abstract":"<jats:p>Recent scanning tunneling microscopy (STM) studies on the (111) faces of noble metals have\ndirectly imaged electronic surface\u2010confined states and dramatic standing\u2010wave patterns have\nbeen observed 1,2]. We solve for the local density of electronic states in these \u201cleaky\u201d quantum\ncorral confinement structures using a coherent elastic scattering theory. We seek solutions\nof the two\u2010dimensional Schr\u00f6dinger equation compatible with non\u2010reflecting boundary\nconditions which asymptotically satisfy the Sommerfeld radiation condition [11,14]. The\nlarge matrices generated by the discretization of realistic quantum corral structures require the\nuse of sparse matrix methods. In addition, a parallel finite element solution was undertaken\nusing the message passing interface standard (MPI) and the Portable, Extensible, Toolkit for\nScientific Computation (PETSc) [5] for an efficient computational solution on both distributed\nand shared memory architectures. Our calculations reveal excellent agreement with the\nreported experimental <jats:italic>dl\/dV<\/jats:italic> STM data.<\/jats:p>","DOI":"10.1155\/1998\/15645","type":"journal-article","created":{"date-parts":[[2007,9,18]],"date-time":"2007-09-18T12:57:27Z","timestamp":1190120247000},"page":"47-51","update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["Parallel Computation for Electronic Waves in Quantum Corrals"],"prefix":"10.1155","volume":"6","author":[{"given":"Henry K.","family":"Harbury","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Wolfgang","family":"Porod","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[1998,1]]},"container-title":["VLSI Design"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/archive\/1998\/015645.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1155\/1998\/15645","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,8,9]],"date-time":"2024-08-09T11:32:51Z","timestamp":1723203171000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1155\/1998\/15645"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1998,1]]},"references-count":0,"journal-issue":{"issue":"1-4","published-print":{"date-parts":[[1998,1]]}},"alternative-id":["10.1155\/1998\/15645"],"URL":"https:\/\/doi.org\/10.1155\/1998\/15645","archive":["Portico"],"relation":{},"ISSN":["1065-514X","1563-5171"],"issn-type":[{"type":"print","value":"1065-514X"},{"type":"electronic","value":"1563-5171"}],"subject":[],"published":{"date-parts":[[1998,1]]},"assertion":[{"value":"1998-01-01","order":3,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}]}}