{"id":2834,"date":"2026-07-22T19:22:26","date_gmt":"2026-07-22T17:22:26","guid":{"rendered":"https:\/\/www.milq.info\/m53_tunneleffekt_in_der_schule\/"},"modified":"2026-07-22T19:22:26","modified_gmt":"2026-07-22T17:22:26","slug":"m53_tunneleffekt_in_der_schule","status":"publish","type":"page","link":"https:\/\/www.milq.info\/en\/m53_tunneleffekt_in_der_schule\/","title":{"rendered":"The tunnel effect in schools"},"content":{"rendered":"<div id=\"bsf_rt_marker\"><\/div><p><strong>Analogies to the tunnel effect<\/strong><\/p>\n<p>The information for these explanations is obtained from: &#8220;Das Quantenuniversum&#8221;, Hey &amp; Walters, pp.85ff<\/p>\n<p><strong>The tunnel effect with waves:<\/strong><\/p>\n<p>The tunnel effect can be demonstrated with the aid of the total internal reflection of light. Light whose amplitude attenuates exponentially with the distance from the surface also appears behind the surface which causes total internal reflection. If a second prism is moved towards and parallel to the glass surface giving rise to the total internal reflection of the first prism, and if the distance is such that the \u201cattenuating wave\u201d reaches right to the second prism, we notice a light beam in the second prism. The closer the prisms are to each other, the more light is transmitted, since the amplitude in the forbidden air layer has correspondingly less time to attenuate. This phenomenon is often also called \u201cfrustrated total internal reflection\u201d. This phenomenon is nothing more than the quantum mechanical tunnel effect with de Broglie\u2019s matter waves. In optics, this effect is used as a beam splitter to split up the light.<\/p>\n<p><img decoding=\"async\" src=\"\/data\/_uploaded\/Lehrgang\/Kapitel11\/Abb1120.gif\" alt=\"\" \/><\/p>\n<p>Fig. 11.8: Tunnel effect with total internal reflection<\/p>\n<p>The experiment with light is difficult to carry out in schools. The experiment can be done much more easily with microwaves and paraffin prisms.<\/p>\n<p><strong>Roller coaster model<\/strong><\/p>\n<p>The roller coaster model is a very graphic explanation of the tunnel effect. A car starts from rest at point <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.milq.info\/wp-content\/ql-cache\/quicklatex.com-1609ce6b11604f5f4b12ac82b6a37842_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#65;\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"14\" style=\"vertical-align: 0px;\"\/>. Energy conservation means it cannot get any higher than point <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.milq.info\/wp-content\/ql-cache\/quicklatex.com-5acf4bbdc8d7811000441f30273ec9a7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#66;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"15\" style=\"vertical-align: 0px;\"\/>. But because of the tunnel effect, there is a probability of finding the car at point <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.milq.info\/wp-content\/ql-cache\/quicklatex.com-b7d434a0f059d51403a096c946454b1a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#67;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"15\" style=\"vertical-align: 0px;\"\/>.<\/p>\n<p><img decoding=\"async\" src=\"\/data\/_uploaded\/Lehrgang\/Kapitel11\/Abb119a.gif\" alt=\"\" \/><\/p>\n<p><a href=\"\/m47_nachweis_des_tunnelstroms\">Here you can find an experimental set-up for the tunnel effect.<\/a><\/p>\n<p><a href=\"https:\/\/www.milq.info\/en\/mehr\/11-tunneleffekt\/\">Back<\/a><\/p>\n<p><\/p>","protected":false},"excerpt":{"rendered":"<p>Analogies to the tunnel effect The information for these explanations is obtained from: &#8220;Das Quantenuniversum&#8221;, Hey &amp; Walters, pp.85ff The tunnel effect with waves: The tunnel effect can be demonstrated with the aid of the total internal reflection of light. Light whose amplitude attenuates exponentially with the distance from the surface also appears behind the&hellip; <a href=\"https:\/\/www.milq.info\/en\/m53_tunneleffekt_in_der_schule\/\" class=\"more-link\">Continue reading <span class=\"screen-reader-text\">The tunnel effect in schools<\/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-2834","page","type-page","status-publish","hentry","without-featured-image"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v28.1 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>The tunnel effect in schools - 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\/m53_tunneleffekt_in_der_schule\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"The tunnel effect in schools - milq\" \/>\n<meta property=\"og:description\" content=\"Analogies to the tunnel effect The information for these explanations is obtained from: &#8220;Das Quantenuniversum&#8221;, Hey &amp; Walters, pp.85ff The tunnel effect with waves: The tunnel effect can be demonstrated with the aid of the total internal reflection of light. 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