{"id":278,"date":"2018-04-23T07:40:48","date_gmt":"2018-04-23T07:40:48","guid":{"rendered":"http:\/\/www.milq.info\/?page_id=278"},"modified":"2026-08-08T06:57:38","modified_gmt":"2026-08-08T04:57:38","slug":"m38_vor-_und_nachteile_der_kastenpotentialnaeherung","status":"publish","type":"page","link":"https:\/\/www.milq.info\/en\/m38_vor-_und_nachteile_der_kastenpotentialnaeherung\/","title":{"rendered":"Advantages and disadvantages of the box-potential approximation"},"content":{"rendered":"<div id=\"bsf_rt_marker\"><\/div><p><\/p>\n<h3>Advantages and disadvantages of the method:<\/h3>\n<p>Although the model is fairly crude, it provides:<\/p>\n<ul>\n<li>The quantization of the energy levels in the hydrogen atom as a consequence of the spatial confinement (here caused by the &#8220;walls&#8221; of the potential well).<\/li>\n<li>The correct dependence of the energy values on the principal quantum number <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.milq.info\/wp-content\/ql-cache\/quicklatex.com-831e386a084ceb4a25eff9c1eb1ea965_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#110;\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"11\" style=\"vertical-align: 0px;\"\/>: <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.milq.info\/wp-content\/ql-cache\/quicklatex.com-58d1b79e6122bb4c596e6f16a3d50aff_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#69;&#32;&#92;&#115;&#105;&#109;&#32;&#45;&#32;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#49;&#125;&#123;&#110;&#94;&#50;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"77\" style=\"vertical-align: -13px;\"\/> (<a href=\"https:\/\/www.milq.info\/en\/m55_n-abhaengigkeit_der_energiewerte\/\">why actually?<\/a>)<\/li>\n<li>Agreement of the numerical values to the right order of magnitude.<\/li>\n<\/ul>\n<p>Methodologically, one advantage of this approach can be seen in the fact that the procedure (namely replacing the actual potential by a different one) is an example of an approximation method commonly used in physics<\/p>\n<p><a href=\"https:\/\/www.milq.info\/en\/mehr\/13-wasserstoff-atom\/\">Back<\/a><\/p>","protected":false},"excerpt":{"rendered":"<p>Advantages and disadvantages of the method: Although the model is fairly crude, it provides: The quantization of the energy levels in the hydrogen atom as a consequence of the spatial confinement (here caused by the &#8220;walls&#8221; of the potential well). The correct dependence of the energy values on the principal quantum number : (why actually?)&hellip; <a href=\"https:\/\/www.milq.info\/en\/m38_vor-_und_nachteile_der_kastenpotentialnaeherung\/\" class=\"more-link\">Continue reading <span class=\"screen-reader-text\">Advantages and disadvantages of the box-potential approximation<\/span><\/a><\/p>\n","protected":false},"author":5,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-278","page","type-page","status-publish","hentry","without-featured-image"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v28.3 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Advantages and disadvantages of the box-potential approximation - milq<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.milq.info\/en\/m38_vor-_und_nachteile_der_kastenpotentialnaeherung\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Advantages and disadvantages of the box-potential approximation - milq\" \/>\n<meta property=\"og:description\" content=\"Advantages and disadvantages of the method: Although the model is fairly crude, it provides: The quantization of the energy levels in the hydrogen atom as a consequence of the spatial confinement (here caused by the &#8220;walls&#8221; of the potential well). 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The correct dependence of the energy values on the principal quantum number : (why actually?)&hellip; Continue reading Advantages and disadvantages of the box-potential approximation","og_url":"https:\/\/www.milq.info\/en\/m38_vor-_und_nachteile_der_kastenpotentialnaeherung\/","og_site_name":"milq","article_modified_time":"2026-08-08T04:57:38+00:00","twitter_card":"summary_large_image","twitter_misc":{"Est. reading time":"1 minute"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/www.milq.info\/en\/m38_vor-_und_nachteile_der_kastenpotentialnaeherung\/","url":"https:\/\/www.milq.info\/en\/m38_vor-_und_nachteile_der_kastenpotentialnaeherung\/","name":"Advantages and disadvantages of the box-potential approximation - milq","isPartOf":{"@id":"https:\/\/www.milq.info\/en\/#website"},"datePublished":"2018-04-23T07:40:48+00:00","dateModified":"2026-08-08T04:57:38+00:00","breadcrumb":{"@id":"https:\/\/www.milq.info\/en\/m38_vor-_und_nachteile_der_kastenpotentialnaeherung\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":[["https:\/\/www.milq.info\/en\/m38_vor-_und_nachteile_der_kastenpotentialnaeherung\/"]]}]},{"@type":"BreadcrumbList","@id":"https:\/\/www.milq.info\/en\/m38_vor-_und_nachteile_der_kastenpotentialnaeherung\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Startseite","item":"https:\/\/www.milq.info\/en\/"},{"@type":"ListItem","position":2,"name":"Vor- und Nachteile der Kastenpotentialn\u00e4herung"}]},{"@type":"WebSite","@id":"https:\/\/www.milq.info\/en\/#website","url":"https:\/\/www.milq.info\/en\/","name":"milq","description":"Quantenphysik in der Schule","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/www.milq.info\/en\/?s={search_term_string}"},"query-input":{"@type":"PropertyValueSpecification","valueRequired":true,"valueName":"search_term_string"}}],"inLanguage":"en-US"}]}},"_links":{"self":[{"href":"https:\/\/www.milq.info\/en\/wp-json\/wp\/v2\/pages\/278","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.milq.info\/en\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.milq.info\/en\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.milq.info\/en\/wp-json\/wp\/v2\/users\/5"}],"replies":[{"embeddable":true,"href":"https:\/\/www.milq.info\/en\/wp-json\/wp\/v2\/comments?post=278"}],"version-history":[{"count":6,"href":"https:\/\/www.milq.info\/en\/wp-json\/wp\/v2\/pages\/278\/revisions"}],"predecessor-version":[{"id":2870,"href":"https:\/\/www.milq.info\/en\/wp-json\/wp\/v2\/pages\/278\/revisions\/2870"}],"wp:attachment":[{"href":"https:\/\/www.milq.info\/en\/wp-json\/wp\/v2\/media?parent=278"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}