{"id":79480,"date":"2024-04-03T14:37:30","date_gmt":"2024-04-03T12:37:30","guid":{"rendered":"https:\/\/aktuelles.uni-frankfurt.de\/?p=79480"},"modified":"2024-04-03T14:37:56","modified_gmt":"2024-04-03T12:37:56","slug":"researchers-at-goethe-university-frankfurt-visualize-quantum-effects-in-electron-waves","status":"publish","type":"post","link":"https:\/\/aktuelles.uni-frankfurt.de\/en\/english\/researchers-at-goethe-university-frankfurt-visualize-quantum-effects-in-electron-waves\/","title":{"rendered":"Researchers at Goethe University Frankfurt visualize quantum effects in electron waves"},"content":{"rendered":"<h4 class=\"wp-block-heading\">Kapitza-Dirac effect used to show temporal evolution of electron waves<\/h4>\n\n\n\n<div style=\"height:20px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<figure class=\"wp-block-image aligncenter size-full is-resized\"><img fetchpriority=\"high\" decoding=\"async\" width=\"650\" height=\"450\" src=\"https:\/\/aktuelles.uni-frankfurt.de\/wp-content\/uploads\/2024\/04\/Bild1_COLTRIMS-13_web.jpg\" alt=\"\" class=\"wp-image-79482\" style=\"width:652px;height:auto\" srcset=\"https:\/\/aktuelles.uni-frankfurt.de\/wp-content\/uploads\/2024\/04\/Bild1_COLTRIMS-13_web.jpg 650w, https:\/\/aktuelles.uni-frankfurt.de\/wp-content\/uploads\/2024\/04\/Bild1_COLTRIMS-13_web-300x208.jpg 300w, https:\/\/aktuelles.uni-frankfurt.de\/wp-content\/uploads\/2024\/04\/Bild1_COLTRIMS-13_web-500x346.jpg 500w, https:\/\/aktuelles.uni-frankfurt.de\/wp-content\/uploads\/2024\/04\/Bild1_COLTRIMS-13_web-18x12.jpg 18w\" sizes=\"(max-width: 650px) 100vw, 650px\" \/><figcaption class=\"wp-element-caption\">Reinhard D\u00f6rner (von links), Markus Sch\u00f6ffler, Sina Jacob, Maksim Kunitski, Till Jahnke, Alexander Hartung, Sebastian Eckart.<\/figcaption><\/figure>\n\n\n\n<div style=\"height:20px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<p><strong>One of the most fundamental interactions in physics is that of electrons and light. In an experiment at Goethe University Frankfurt, scientists have now managed to observe what is known as the Kapitza-Dirac effect for the first time in full temporal resolution. This effect was first postulated over 90 years ago, but only now are its finest details coming to light.<\/strong><\/p>\n\n\n\n<p>It was one of the biggest surprises in the history of science: In the early days of quantum physics around 100 years ago, scholars discovered that the particles which make up our matter always behave like waves. Just as light can scatter at a double slit and produce scattering patterns, electrons can also display interference effects. In 1933, the two theorists Piotr Kapitza and Paul Dirac proved that an electron beam is even diffracted from a standing light wave (due to the particles\u2019 properties) and that interference effects as a result of the wave properties are to be expected.<\/p>\n\n\n\n<p>A German-Chinese team led by Professor Reinhard D\u00f6rner from Goethe University Frankfurt has succeeded in using this Kapitza-Dirac effect to visualize even the temporal evolution of the electron waves, known as the electrons\u2019 quantum mechanical phase. The researchers have now presented their results in the journal <em>Science<\/em>.<\/p>\n\n\n\n<div style=\"height:20px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<figure class=\"wp-block-image aligncenter size-full is-resized\"><img decoding=\"async\" width=\"650\" height=\"450\" src=\"https:\/\/aktuelles.uni-frankfurt.de\/wp-content\/uploads\/2024\/04\/Bild2_TimeResolvedKapitzaDirac_web.jpg\" alt=\"\" class=\"wp-image-79481\" style=\"width:652px;height:auto\" srcset=\"https:\/\/aktuelles.uni-frankfurt.de\/wp-content\/uploads\/2024\/04\/Bild2_TimeResolvedKapitzaDirac_web.jpg 650w, https:\/\/aktuelles.uni-frankfurt.de\/wp-content\/uploads\/2024\/04\/Bild2_TimeResolvedKapitzaDirac_web-300x208.jpg 300w, https:\/\/aktuelles.uni-frankfurt.de\/wp-content\/uploads\/2024\/04\/Bild2_TimeResolvedKapitzaDirac_web-500x346.jpg 500w, https:\/\/aktuelles.uni-frankfurt.de\/wp-content\/uploads\/2024\/04\/Bild2_TimeResolvedKapitzaDirac_web-18x12.jpg 18w\" sizes=\"(max-width: 650px) 100vw, 650px\" \/><figcaption class=\"wp-element-caption\">Time dependent interference fringes from the ultrafast Kapitza Dirac Effect. An electron wave packet is exposed to two counterpropagating ultrashort laser pulses. The time span from back to front is 10 pico seconds. (Copyright: Goethe University)<\/figcaption><\/figure>\n\n\n\n<div style=\"height:20px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<p>\u201cIt was a former doctoral researcher at our institute, Alexander Hartung, who originally constructed the experimental apparatus,\u201d says D\u00f6rner. \u201cAfter he left, Kang Lin, an Alexander von Humboldt fellow who worked in the Frankfurt team for 4 years, was able to use it to measure the time-dependent Kapitza-Dirac effect.\u201d To do so, it was necessary to further develop the theoretical description, too, as Kapitza and Dirac did not take the temporal evolution of the electron phase specifically into consideration at that time.<\/p>\n\n\n\n<p>In their experiment, the scientists in Frankfurt first of all fired two ultrashort laser pulses from opposite directions at a xenon gas. At the crossover point, these femtosecond pulses \u2013 a femtosecond is a quadrillionth (one millionth of one billionth) of a second \u2013 produced an ultrastrong light field for fractions of a second. This tore electrons out of the xenon atoms, i.e. it ionized them. Very shortly afterwards, the physicists fired a second pair of short laser pulses at the electrons released in this way, which also formed a standing wave at the center. These pulses were slightly weaker and did not cause any further ionization. They were, however, now able to interact with the free electrons, which could be observed with the help of a COLTRIMS reaction microscope developed in Frankfurt.<\/p>\n\n\n\n<p>\u201cAt the point of interaction, three things can happen,\u201d says D\u00f6rner. \u201cEither the electron does not interact with the light \u2013 or it is scattered to the left or to the right.\u201d According to the laws of quantum physics, these three possibilities together add up to a certain probability that is reflected in the wave function of the electrons: The cloud-like space in which the electron \u2013 with a certain probability \u2013 is likely to be, collapses, so to speak, into three-dimensional slices. Here, the temporal evolution of the wave function and its phase is dependent on how much time elapses between ionization and the moment of impact of the second pair of laser pulses.<\/p>\n\n\n\n<p>\u201cThis opens up many exciting applications in quantum physics. Hopefully, it will help us to track how electrons transform from quantum particles into completely normal particles within the shortest space of time. We are already planning to use it to find out more about the entanglement between different particles that Einstein called \u2018spooky\u2019,\u201d says D\u00f6rner. As so often in science, putting long-established theories to the test again and again has been worthwhile here, too.<\/p>\n\n\n\n<div style=\"height:20px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<div class=\"wp-block-group is-layout-constrained wp-block-group-is-layout-constrained\">\n<p class=\"has-background\" style=\"background-color:#f4f4f4\"><strong>Publication:<\/strong> Kang Lin, Sebastian Eckart, Hao Liang, Alexander Hartung, Sina Jacob, Qinying Ji, Lothar Ph. H. Schmidt, Markus S. Sch\u00f6ffler, Till Jahnke, Maksim Kunitski, Reinhard D\u00f6rner: <a href=\"https:\/\/doi.org\/10.1126\/science.adn1555\" target=\"_blank\" rel=\"noreferrer noopener\"><strong>Ultrafast Kapitza-Dirac effect.<\/strong> Science (2024)<\/a><\/p>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>Kapitza-Dirac effect used to show temporal evolution of electron waves One of the most fundamental interactions in physics is that of electrons and light. In an experiment at Goethe University [&hellip;]<\/p>\n","protected":false},"author":8,"featured_media":79482,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_eb_attr":"","_price":"","_stock":"","_tribe_ticket_header":"","_tribe_default_ticket_provider":"","_ticket_start_date":"","_ticket_end_date":"","_tribe_ticket_show_description":"","_tribe_ticket_show_not_going":false,"_tribe_ticket_use_global_stock":"","_tribe_ticket_global_stock_level":"","_global_stock_mode":"","_global_stock_cap":"","_tribe_rsvp_for_event":"","_tribe_ticket_going_count":"","_tribe_ticket_not_going_count":"","_tribe_tickets_list":"[]","_tribe_ticket_has_attendee_info_fields":false,"footnotes":""},"categories":[126,254],"tags":[242],"post_folder":[],"class_list":["post-79480","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-english","category-research","tag-physics"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.3 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Researchers at Goethe University Frankfurt visualize quantum effects in electron waves | Aktuelles aus der Goethe-Universit\u00e4t Frankfurt<\/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:\/\/aktuelles.uni-frankfurt.de\/en\/english\/researchers-at-goethe-university-frankfurt-visualize-quantum-effects-in-electron-waves\/\" \/>\n<meta property=\"og:locale\" content=\"en_GB\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Researchers at Goethe University Frankfurt visualize quantum effects in electron waves | Aktuelles aus der Goethe-Universit\u00e4t Frankfurt\" \/>\n<meta property=\"og:description\" content=\"Kapitza-Dirac effect used to show temporal evolution of electron waves One of the most fundamental interactions in physics is that of electrons and light. In an experiment at Goethe University [&hellip;]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/aktuelles.uni-frankfurt.de\/en\/english\/researchers-at-goethe-university-frankfurt-visualize-quantum-effects-in-electron-waves\/\" \/>\n<meta property=\"og:site_name\" content=\"Aktuelles aus der Goethe-Universit\u00e4t Frankfurt\" \/>\n<meta property=\"article:published_time\" content=\"2024-04-03T12:37:30+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2024-04-03T12:37:56+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/aktuelles.uni-frankfurt.de\/wp-content\/uploads\/2024\/04\/Bild1_COLTRIMS-13_web.jpg\" \/>\n\t<meta property=\"og:image:width\" content=\"650\" \/>\n\t<meta property=\"og:image:height\" content=\"450\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/jpeg\" \/>\n<meta name=\"author\" content=\"-\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"-\" \/>\n\t<meta name=\"twitter:label2\" content=\"Estimated reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"4 minutes\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\\\/\\\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\\\/\\\/aktuelles.uni-frankfurt.de\\\/english\\\/researchers-at-goethe-university-frankfurt-visualize-quantum-effects-in-electron-waves\\\/#article\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/aktuelles.uni-frankfurt.de\\\/english\\\/researchers-at-goethe-university-frankfurt-visualize-quantum-effects-in-electron-waves\\\/\"},\"author\":{\"name\":\"-\",\"@id\":\"https:\\\/\\\/aktuelles.uni-frankfurt.de\\\/#\\\/schema\\\/person\\\/8e55ea338fb65d1ce87a91565d1f1739\"},\"headline\":\"Researchers at Goethe University Frankfurt visualize quantum effects in electron waves\",\"datePublished\":\"2024-04-03T12:37:30+00:00\",\"dateModified\":\"2024-04-03T12:37:56+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\\\/\\\/aktuelles.uni-frankfurt.de\\\/english\\\/researchers-at-goethe-university-frankfurt-visualize-quantum-effects-in-electron-waves\\\/\"},\"wordCount\":713,\"publisher\":{\"@id\":\"https:\\\/\\\/aktuelles.uni-frankfurt.de\\\/#organization\"},\"image\":{\"@id\":\"https:\\\/\\\/aktuelles.uni-frankfurt.de\\\/english\\\/researchers-at-goethe-university-frankfurt-visualize-quantum-effects-in-electron-waves\\\/#primaryimage\"},\"thumbnailUrl\":\"https:\\\/\\\/aktuelles.uni-frankfurt.de\\\/wp-content\\\/uploads\\\/2024\\\/04\\\/Bild1_COLTRIMS-13_web.jpg\",\"keywords\":[\"Physics\"],\"articleSection\":[\"English\",\"Research\"],\"inLanguage\":\"en-GB\"},{\"@type\":\"WebPage\",\"@id\":\"https:\\\/\\\/aktuelles.uni-frankfurt.de\\\/english\\\/researchers-at-goethe-university-frankfurt-visualize-quantum-effects-in-electron-waves\\\/\",\"url\":\"https:\\\/\\\/aktuelles.uni-frankfurt.de\\\/english\\\/researchers-at-goethe-university-frankfurt-visualize-quantum-effects-in-electron-waves\\\/\",\"name\":\"Researchers at Goethe University Frankfurt visualize quantum effects in electron waves | Aktuelles aus der Goethe-Universit\u00e4t Frankfurt\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/aktuelles.uni-frankfurt.de\\\/#website\"},\"primaryImageOfPage\":{\"@id\":\"https:\\\/\\\/aktuelles.uni-frankfurt.de\\\/english\\\/researchers-at-goethe-university-frankfurt-visualize-quantum-effects-in-electron-waves\\\/#primaryimage\"},\"image\":{\"@id\":\"https:\\\/\\\/aktuelles.uni-frankfurt.de\\\/english\\\/researchers-at-goethe-university-frankfurt-visualize-quantum-effects-in-electron-waves\\\/#primaryimage\"},\"thumbnailUrl\":\"https:\\\/\\\/aktuelles.uni-frankfurt.de\\\/wp-content\\\/uploads\\\/2024\\\/04\\\/Bild1_COLTRIMS-13_web.jpg\",\"datePublished\":\"2024-04-03T12:37:30+00:00\",\"dateModified\":\"2024-04-03T12:37:56+00:00\",\"breadcrumb\":{\"@id\":\"https:\\\/\\\/aktuelles.uni-frankfurt.de\\\/english\\\/researchers-at-goethe-university-frankfurt-visualize-quantum-effects-in-electron-waves\\\/#breadcrumb\"},\"inLanguage\":\"en-GB\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\\\/\\\/aktuelles.uni-frankfurt.de\\\/english\\\/researchers-at-goethe-university-frankfurt-visualize-quantum-effects-in-electron-waves\\\/\"]}]},{\"@type\":\"ImageObject\",\"inLanguage\":\"en-GB\",\"@id\":\"https:\\\/\\\/aktuelles.uni-frankfurt.de\\\/english\\\/researchers-at-goethe-university-frankfurt-visualize-quantum-effects-in-electron-waves\\\/#primaryimage\",\"url\":\"https:\\\/\\\/aktuelles.uni-frankfurt.de\\\/wp-content\\\/uploads\\\/2024\\\/04\\\/Bild1_COLTRIMS-13_web.jpg\",\"contentUrl\":\"https:\\\/\\\/aktuelles.uni-frankfurt.de\\\/wp-content\\\/uploads\\\/2024\\\/04\\\/Bild1_COLTRIMS-13_web.jpg\",\"width\":650,\"height\":450,\"caption\":\"Reinhard D\u00f6rner (from left to right), Markus Sch\u00f6ffler, Sina Jacob, Maksim Kunitski, Till Jahnke, Alexander Hartung, Sebastian Eckart (Photo: Lecher)\"},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\\\/\\\/aktuelles.uni-frankfurt.de\\\/english\\\/researchers-at-goethe-university-frankfurt-visualize-quantum-effects-in-electron-waves\\\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Startseite\",\"item\":\"https:\\\/\\\/aktuelles.uni-frankfurt.de\\\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Researchers at Goethe University Frankfurt visualize quantum effects in electron waves\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\\\/\\\/aktuelles.uni-frankfurt.de\\\/#website\",\"url\":\"https:\\\/\\\/aktuelles.uni-frankfurt.de\\\/\",\"name\":\"Aktuelles aus der Goethe-Universit\u00e4t Frankfurt\",\"description\":\"Aktuelles aus der Goethe-Universit\u00e4t | Neues aus Forschung, Lehre, Studium\",\"publisher\":{\"@id\":\"https:\\\/\\\/aktuelles.uni-frankfurt.de\\\/#organization\"},\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\\\/\\\/aktuelles.uni-frankfurt.de\\\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"en-GB\"},{\"@type\":\"Organization\",\"@id\":\"https:\\\/\\\/aktuelles.uni-frankfurt.de\\\/#organization\",\"name\":\"Goethe-Universit\u00e4t\",\"url\":\"https:\\\/\\\/aktuelles.uni-frankfurt.de\\\/\",\"logo\":{\"@type\":\"ImageObject\",\"inLanguage\":\"en-GB\",\"@id\":\"https:\\\/\\\/aktuelles.uni-frankfurt.de\\\/#\\\/schema\\\/logo\\\/image\\\/\",\"url\":\"https:\\\/\\\/aktuelles.uni-frankfurt.de\\\/wp-content\\\/uploads\\\/2022\\\/03\\\/800px-Goethe-Logo.png\",\"contentUrl\":\"https:\\\/\\\/aktuelles.uni-frankfurt.de\\\/wp-content\\\/uploads\\\/2022\\\/03\\\/800px-Goethe-Logo.png\",\"width\":800,\"height\":436,\"caption\":\"Goethe-Universit\u00e4t\"},\"image\":{\"@id\":\"https:\\\/\\\/aktuelles.uni-frankfurt.de\\\/#\\\/schema\\\/logo\\\/image\\\/\"}},{\"@type\":\"Person\",\"@id\":\"https:\\\/\\\/aktuelles.uni-frankfurt.de\\\/#\\\/schema\\\/person\\\/8e55ea338fb65d1ce87a91565d1f1739\",\"name\":\"-\",\"description\":\"Dieser Beitrag wurde von der Online-Redaktion ver\u00f6ffentlicht. Wenn der Beitrag von einem Gastautoren verfasst wurde, findet sich dieser Hinweis am Ende des jeweiligen Artikels.\",\"sameAs\":[\"http:\\\/\\\/aktuelles.uni-frankfurt.de\\\/autoren\"],\"url\":\"https:\\\/\\\/aktuelles.uni-frankfurt.de\\\/en\\\/author\\\/redaktion\\\/\"}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"Researchers at Goethe University Frankfurt visualize quantum effects in electron waves | Aktuelles aus der Goethe-Universit\u00e4t Frankfurt","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/aktuelles.uni-frankfurt.de\/en\/english\/researchers-at-goethe-university-frankfurt-visualize-quantum-effects-in-electron-waves\/","og_locale":"en_GB","og_type":"article","og_title":"Researchers at Goethe University Frankfurt visualize quantum effects in electron waves | Aktuelles aus der Goethe-Universit\u00e4t Frankfurt","og_description":"Kapitza-Dirac effect used to show temporal evolution of electron waves One of the most fundamental interactions in physics is that of electrons and light. In an experiment at Goethe University [&hellip;]","og_url":"https:\/\/aktuelles.uni-frankfurt.de\/en\/english\/researchers-at-goethe-university-frankfurt-visualize-quantum-effects-in-electron-waves\/","og_site_name":"Aktuelles aus der Goethe-Universit\u00e4t Frankfurt","article_published_time":"2024-04-03T12:37:30+00:00","article_modified_time":"2024-04-03T12:37:56+00:00","og_image":[{"width":650,"height":450,"url":"https:\/\/aktuelles.uni-frankfurt.de\/wp-content\/uploads\/2024\/04\/Bild1_COLTRIMS-13_web.jpg","type":"image\/jpeg"}],"author":"-","twitter_card":"summary_large_image","twitter_misc":{"Written by":"-","Estimated reading time":"4 minutes"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Article","@id":"https:\/\/aktuelles.uni-frankfurt.de\/english\/researchers-at-goethe-university-frankfurt-visualize-quantum-effects-in-electron-waves\/#article","isPartOf":{"@id":"https:\/\/aktuelles.uni-frankfurt.de\/english\/researchers-at-goethe-university-frankfurt-visualize-quantum-effects-in-electron-waves\/"},"author":{"name":"-","@id":"https:\/\/aktuelles.uni-frankfurt.de\/#\/schema\/person\/8e55ea338fb65d1ce87a91565d1f1739"},"headline":"Researchers at Goethe University Frankfurt visualize quantum effects in electron waves","datePublished":"2024-04-03T12:37:30+00:00","dateModified":"2024-04-03T12:37:56+00:00","mainEntityOfPage":{"@id":"https:\/\/aktuelles.uni-frankfurt.de\/english\/researchers-at-goethe-university-frankfurt-visualize-quantum-effects-in-electron-waves\/"},"wordCount":713,"publisher":{"@id":"https:\/\/aktuelles.uni-frankfurt.de\/#organization"},"image":{"@id":"https:\/\/aktuelles.uni-frankfurt.de\/english\/researchers-at-goethe-university-frankfurt-visualize-quantum-effects-in-electron-waves\/#primaryimage"},"thumbnailUrl":"https:\/\/aktuelles.uni-frankfurt.de\/wp-content\/uploads\/2024\/04\/Bild1_COLTRIMS-13_web.jpg","keywords":["Physics"],"articleSection":["English","Research"],"inLanguage":"en-GB"},{"@type":"WebPage","@id":"https:\/\/aktuelles.uni-frankfurt.de\/english\/researchers-at-goethe-university-frankfurt-visualize-quantum-effects-in-electron-waves\/","url":"https:\/\/aktuelles.uni-frankfurt.de\/english\/researchers-at-goethe-university-frankfurt-visualize-quantum-effects-in-electron-waves\/","name":"Researchers at Goethe University Frankfurt visualize quantum effects in electron waves | Aktuelles aus der Goethe-Universit\u00e4t Frankfurt","isPartOf":{"@id":"https:\/\/aktuelles.uni-frankfurt.de\/#website"},"primaryImageOfPage":{"@id":"https:\/\/aktuelles.uni-frankfurt.de\/english\/researchers-at-goethe-university-frankfurt-visualize-quantum-effects-in-electron-waves\/#primaryimage"},"image":{"@id":"https:\/\/aktuelles.uni-frankfurt.de\/english\/researchers-at-goethe-university-frankfurt-visualize-quantum-effects-in-electron-waves\/#primaryimage"},"thumbnailUrl":"https:\/\/aktuelles.uni-frankfurt.de\/wp-content\/uploads\/2024\/04\/Bild1_COLTRIMS-13_web.jpg","datePublished":"2024-04-03T12:37:30+00:00","dateModified":"2024-04-03T12:37:56+00:00","breadcrumb":{"@id":"https:\/\/aktuelles.uni-frankfurt.de\/english\/researchers-at-goethe-university-frankfurt-visualize-quantum-effects-in-electron-waves\/#breadcrumb"},"inLanguage":"en-GB","potentialAction":[{"@type":"ReadAction","target":["https:\/\/aktuelles.uni-frankfurt.de\/english\/researchers-at-goethe-university-frankfurt-visualize-quantum-effects-in-electron-waves\/"]}]},{"@type":"ImageObject","inLanguage":"en-GB","@id":"https:\/\/aktuelles.uni-frankfurt.de\/english\/researchers-at-goethe-university-frankfurt-visualize-quantum-effects-in-electron-waves\/#primaryimage","url":"https:\/\/aktuelles.uni-frankfurt.de\/wp-content\/uploads\/2024\/04\/Bild1_COLTRIMS-13_web.jpg","contentUrl":"https:\/\/aktuelles.uni-frankfurt.de\/wp-content\/uploads\/2024\/04\/Bild1_COLTRIMS-13_web.jpg","width":650,"height":450,"caption":"Reinhard D\u00f6rner (from left to right), Markus Sch\u00f6ffler, Sina Jacob, Maksim Kunitski, Till Jahnke, Alexander Hartung, Sebastian Eckart (Photo: Lecher)"},{"@type":"BreadcrumbList","@id":"https:\/\/aktuelles.uni-frankfurt.de\/english\/researchers-at-goethe-university-frankfurt-visualize-quantum-effects-in-electron-waves\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Startseite","item":"https:\/\/aktuelles.uni-frankfurt.de\/"},{"@type":"ListItem","position":2,"name":"Researchers at Goethe University Frankfurt visualize quantum effects in electron waves"}]},{"@type":"WebSite","@id":"https:\/\/aktuelles.uni-frankfurt.de\/#website","url":"https:\/\/aktuelles.uni-frankfurt.de\/","name":"Aktuelles aus der Goethe-Universit\u00e4t Frankfurt","description":"Aktuelles aus der Goethe-Universit\u00e4t | Neues aus Forschung, Lehre, Studium","publisher":{"@id":"https:\/\/aktuelles.uni-frankfurt.de\/#organization"},"potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/aktuelles.uni-frankfurt.de\/?s={search_term_string}"},"query-input":{"@type":"PropertyValueSpecification","valueRequired":true,"valueName":"search_term_string"}}],"inLanguage":"en-GB"},{"@type":"Organization","@id":"https:\/\/aktuelles.uni-frankfurt.de\/#organization","name":"Goethe University Frankfurt","url":"https:\/\/aktuelles.uni-frankfurt.de\/","logo":{"@type":"ImageObject","inLanguage":"en-GB","@id":"https:\/\/aktuelles.uni-frankfurt.de\/#\/schema\/logo\/image\/","url":"https:\/\/aktuelles.uni-frankfurt.de\/wp-content\/uploads\/2022\/03\/800px-Goethe-Logo.png","contentUrl":"https:\/\/aktuelles.uni-frankfurt.de\/wp-content\/uploads\/2022\/03\/800px-Goethe-Logo.png","width":800,"height":436,"caption":"Goethe-Universit\u00e4t"},"image":{"@id":"https:\/\/aktuelles.uni-frankfurt.de\/#\/schema\/logo\/image\/"}},{"@type":"Person","@id":"https:\/\/aktuelles.uni-frankfurt.de\/#\/schema\/person\/8e55ea338fb65d1ce87a91565d1f1739","name":"-","description":"Dieser Beitrag wurde von der Online-Redaktion ver\u00f6ffentlicht. Wenn der Beitrag von einem Gastautoren verfasst wurde, findet sich dieser Hinweis am Ende des jeweiligen Artikels.","sameAs":["http:\/\/aktuelles.uni-frankfurt.de\/autoren"],"url":"https:\/\/aktuelles.uni-frankfurt.de\/en\/author\/redaktion\/"}]}},"_links":{"self":[{"href":"https:\/\/aktuelles.uni-frankfurt.de\/en\/wp-json\/wp\/v2\/posts\/79480","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/aktuelles.uni-frankfurt.de\/en\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/aktuelles.uni-frankfurt.de\/en\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/aktuelles.uni-frankfurt.de\/en\/wp-json\/wp\/v2\/users\/8"}],"replies":[{"embeddable":true,"href":"https:\/\/aktuelles.uni-frankfurt.de\/en\/wp-json\/wp\/v2\/comments?post=79480"}],"version-history":[{"count":0,"href":"https:\/\/aktuelles.uni-frankfurt.de\/en\/wp-json\/wp\/v2\/posts\/79480\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/aktuelles.uni-frankfurt.de\/en\/wp-json\/wp\/v2\/media\/79482"}],"wp:attachment":[{"href":"https:\/\/aktuelles.uni-frankfurt.de\/en\/wp-json\/wp\/v2\/media?parent=79480"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/aktuelles.uni-frankfurt.de\/en\/wp-json\/wp\/v2\/categories?post=79480"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/aktuelles.uni-frankfurt.de\/en\/wp-json\/wp\/v2\/tags?post=79480"},{"taxonomy":"post_folder","embeddable":true,"href":"https:\/\/aktuelles.uni-frankfurt.de\/en\/wp-json\/wp\/v2\/post_folder?post=79480"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}