{"id":2332,"date":"2025-09-26T11:17:57","date_gmt":"2025-09-26T04:17:57","guid":{"rendered":"https:\/\/www.its.ac.id\/publikasi\/?p=2332"},"modified":"2025-09-26T11:17:57","modified_gmt":"2025-09-26T04:17:57","slug":"quantum-square-wells-with-capacitive-walls-a-toy-model-for-quantum-capacitors-2","status":"publish","type":"post","link":"https:\/\/www.its.ac.id\/publikasi\/en\/2025\/09\/26\/quantum-square-wells-with-capacitive-walls-a-toy-model-for-quantum-capacitors-2\/","title":{"rendered":"Quantum Square Wells with Capacitive Walls: A Toy Model for Quantum Capacitors"},"content":{"rendered":"<div id=\"authorString\"><em>Arifin Achmad<\/em><\/div>\n<p>&nbsp;<\/p>\n<div id=\"articleAbstract\">\n<h4>Abstract<\/h4>\n<div>This research aims to determine the energy quantization in a one-dimensional infinite square well modified by capacitive walls. The electric field inside the wall produces a linear potential. The solution to the Schr\u00f6dinger equation is the Airy function for an infinite square well. Furthermore, the Wentzel\u2013Kramers\u2013Brillouin (WKB) approach is applied to finite wells, and the energy quantization for both cases based on this modified potential has been derived. In this paper, we also examine the quantum capacitance of the system, which is determined from the density of states and depends on dimensionality. The results obtained show that there is compatibility between the simple model that we work on and several systems, for example, graphene-base system.<\/div>\n<\/div>\n<div id=\"articleSubject\">\n<h4>Keywords<\/h4>\n<div>Quantum square wells; Quantum capacitance; WKB Approximation<\/div>\n<\/div>\n<div id=\"articleFullText\">\n<h4>Full Text:<\/h4>\n<p><a class=\"file\" href=\"https:\/\/iptek.its.ac.id\/index.php\/jfa\/article\/view\/21%282%2902\" target=\"_parent\">PDF<\/a><\/div>\n","protected":false},"excerpt":{"rendered":"<p>Arifin Achmad &nbsp; Abstract This research aims to determine the energy quantization in a one-dimensional infinite square well modified by capacitive walls. The electric field inside the wall produces a linear potential. The solution to the Schr\u00f6dinger equation is the Airy function for an infinite square well. Furthermore, the Wentzel\u2013Kramers\u2013Brillouin (WKB) approach is applied to [&hellip;]<\/p>\n","protected":false},"author":250,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_joinchat":[],"footnotes":""},"categories":[232],"tags":[],"class_list":["post-2332","post","type-post","status-publish","format-standard","hentry","category-jfa-journal"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.1.1 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Quantum Square Wells with Capacitive Walls: A Toy Model for Quantum Capacitors - IJC ( ITS Journal Center )<\/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.its.ac.id\/publikasi\/en\/2025\/09\/26\/quantum-square-wells-with-capacitive-walls-a-toy-model-for-quantum-capacitors-2\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Quantum Square Wells with Capacitive Walls: A Toy Model for Quantum Capacitors - IJC ( ITS Journal Center )\" \/>\n<meta property=\"og:description\" content=\"Arifin Achmad &nbsp; Abstract This research aims to determine the energy quantization in a one-dimensional infinite square well modified by capacitive walls. The electric field inside the wall produces a linear potential. The solution to the Schr\u00f6dinger equation is the Airy function for an infinite square well. 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