{"id":29444,"date":"2002-11-01T21:43:30","date_gmt":"2002-11-01T21:43:30","guid":{"rendered":"https:\/\/silvaco.com\/uncategorized\/quantum-modeling-part-i-poisson-schrodinger-solver\/"},"modified":"2026-10-15T14:30:01","modified_gmt":"2026-10-15T21:30:01","slug":"quantum-modeling-part-i-poisson-schrodinger-solver","status":"publish","type":"post","link":"https:\/\/silvaco.com\/ja\/simulation-standard\/quantum-modeling-part-i-poisson-schrodinger-solver\/","title":{"rendered":"Quantum Modeling Part I: Poisson-Schrodinger Solver"},"content":{"rendered":"

Quantum Modeling Part I: Poisson-Schrodinger Solver<\/h1>\n

Introduction<\/h3>\n

The trend toward smaller MOSFET devices with thinner gate oxide and greater doping is resulting in the increased importance of quantum mechanical effects, which are observed as shifts in threshold voltage and gate capacitance. Predicting these quantum effects requires solving the Schrodinger equation. This article (part 1 of a series) presents the Poisson-Schrodinger solver and its enhancements implemented in ATLAS from Silvaco. Section 2 presents the syntax used to perform the simulation. Section 3 presents the MOS-capacitor simulation results and compares them with results obtained with the University of Pisa code [1-6].<\/p>\n

\"\"<\/p>\n

Download Simulation Standard<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"

The trend toward smaller MOSFET devices with thinner gate oxide and greater doping is resulting in the increased importance of quantum mechanical effects, which are observed as shifts in threshold voltage and gate capacitance. Predicting these quantum effects requires solving the Schrodinger equation. This article (part 1 of a series) presents the Poisson-Schrodinger solver and its enhancements implemented in ATLAS from Silvaco.<\/p>\n","protected":false},"author":12,"featured_media":22280,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"inline_featured_image":false,"footnotes":""},"categories":[7570],"tags":[],"class_list":["post-29444","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-simulation-standard","entry","has-media"],"yoast_head":"\nQuantum Modeling Part I: Poisson-Schrodinger Solver - Silvaco<\/title>\n<meta name=\"description\" content=\"Quantum Modeling Part I: Poisson-Schrodinger Solver\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/silvaco.com\/ja\/simulation-standard\/quantum-modeling-part-i-poisson-schrodinger-solver\/\" \/>\n<meta property=\"og:locale\" content=\"ja_JP\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Quantum Modeling Part I: Poisson-Schrodinger Solver\" \/>\n<meta property=\"og:description\" content=\"Quantum Modeling Part I: Poisson-Schrodinger Solver\" \/>\n<meta property=\"og:url\" content=\"https:\/\/silvaco.com\/ja\/simulation-standard\/quantum-modeling-part-i-poisson-schrodinger-solver\/\" \/>\n<meta property=\"og:site_name\" content=\"Silvaco\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/SilvacoSoftware\/\" \/>\n<meta property=\"article:published_time\" content=\"2002-11-01T21:43:30+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2026-10-15T21:30:01+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/silvaco.com\/wp-content\/uploads\/simulationstandard\/simstd_nov_2002_a3.jpg\" \/>\n\t<meta property=\"og:image:width\" content=\"1287\" \/>\n\t<meta property=\"og:image:height\" content=\"1669\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/jpeg\" \/>\n<meta name=\"author\" content=\"Casey Molver\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:creator\" content=\"@SilvacoSoftware\" \/>\n<meta name=\"twitter:site\" content=\"@SilvacoSoftware\" \/>\n<meta name=\"twitter:label1\" content=\"\u57f7\u7b46\u8005\" \/>\n\t<meta name=\"twitter:data1\" content=\"Casey Molver\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\\\/\\\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\\\/\\\/silvaco.com\\\/ja\\\/simulation-standard\\\/quantum-modeling-part-i-poisson-schrodinger-solver\\\/#article\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/silvaco.com\\\/ja\\\/simulation-standard\\\/quantum-modeling-part-i-poisson-schrodinger-solver\\\/\"},\"author\":{\"name\":\"Casey Molver\",\"@id\":\"https:\\\/\\\/silvaco.com\\\/ja\\\/#\\\/schema\\\/person\\\/2763eb741ca5ac04477fdff50ed84c80\"},\"headline\":\"Quantum Modeling Part I: Poisson-Schrodinger Solver\",\"datePublished\":\"2002-11-01T21:43:30+00:00\",\"dateModified\":\"2026-10-15T21:30:01+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\\\/\\\/silvaco.com\\\/ja\\\/simulation-standard\\\/quantum-modeling-part-i-poisson-schrodinger-solver\\\/\"},\"wordCount\":105,\"image\":{\"@id\":\"https:\\\/\\\/silvaco.com\\\/ja\\\/simulation-standard\\\/quantum-modeling-part-i-poisson-schrodinger-solver\\\/#primaryimage\"},\"thumbnailUrl\":\"https:\\\/\\\/silvaco.com\\\/wp-content\\\/uploads\\\/simulationstandard\\\/simstd_nov_2002_a3.jpg\",\"articleSection\":[\"Simulation Standard\"],\"inLanguage\":\"ja\"},{\"@type\":\"WebPage\",\"@id\":\"https:\\\/\\\/silvaco.com\\\/ja\\\/simulation-standard\\\/quantum-modeling-part-i-poisson-schrodinger-solver\\\/\",\"url\":\"https:\\\/\\\/silvaco.com\\\/ja\\\/simulation-standard\\\/quantum-modeling-part-i-poisson-schrodinger-solver\\\/\",\"name\":\"Quantum Modeling Part I: Poisson-Schrodinger Solver - 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