{"id":6281,"date":"2025-11-20T19:35:31","date_gmt":"2025-11-20T18:35:31","guid":{"rendered":"https:\/\/www.zsvltava.cz\/fyzika\/?p=6281"},"modified":"2025-11-20T19:52:20","modified_gmt":"2025-11-20T18:52:20","slug":"co-je-vlastne-foton","status":"publish","type":"post","link":"https:\/\/www.zsvltava.cz\/fyzika\/?p=6281","title":{"rendered":"Co je vlastn\u011b foton?"},"content":{"rendered":"<p><strong>P\u0159esn\u00e1 odpov\u011b\u010f fyziky, nen\u00ed ani jednoduch\u00e1, ani intuitivn\u00ed.<\/strong><\/p>\n<p>Kdy\u017e se \u0159ekne foton, v\u011bt\u0161ina lid\u00ed si p\u0159edstav\u00ed miniaturn\u00ed \u201ebal\u00ed\u010dek sv\u011btla\u201c, malou \u010d\u00e1stici let\u00edc\u00ed prostorem. V u\u010debnic\u00edch se tak opravdu \u010dasto popisuje. Realita modern\u00ed fyziky je v\u0161ak mnohem hlub\u0161\u00ed, m\u00e9n\u011b intuitivn\u00ed \u2013 a p\u0159edev\u0161\u00edm mnohem zaj\u00edmav\u011bj\u0161\u00ed.<\/p>\n<h2>Foton jako teoretick\u00fd konstrukt \u2013 ne klasick\u00e1 \u010d\u00e1stice<\/h2>\n<p>V klasick\u00e9 fyzice je sv\u011btlo vln\u011bn\u00ed. V kvantov\u00e9 fyzice se ale uk\u00e1zalo, \u017ee p\u0159i interakc\u00edch s hmotou se chov\u00e1, jako by bylo tvo\u0159eno diskr\u00e9tn\u00edmi jednotkami energie. Tyto jednotky nazval Einstein \u201ekvanta sv\u011btla\u201c \u2013 pozd\u011bji fotony.<\/p>\n<p>Pointa je z\u00e1sadn\u00ed:<\/p>\n<p><strong>Foton nen\u00ed \u201ev\u011bc\u201c, kterou bychom um\u011bli p\u0159\u00edmo popsat v prostoru. Je to matematick\u00e1 konstrukce, kter\u00e1 vysv\u011btluje experimenty.<\/strong><\/p>\n<p>A co je d\u016fle\u017eit\u00e9: nejde o objekt, o kter\u00e9m bychom byli schopni \u0159\u00edct, \u017ee m\u00e1 fyzik\u00e1ln\u011b jednozna\u010dn\u011b definovan\u00fd tvar nebo polohu.<\/p>\n<h2>Foton m\u00e1 r\u016fzn\u00e9 v\u00fdznamy podle oboru fyziky<\/h2>\n<p>Odborn\u00edci z r\u016fzn\u00fdch oblast\u00ed term\u00edn \u201efoton\u201c pou\u017e\u00edvaj\u00ed v odli\u0161n\u00fdch kontextech:<\/p>\n<h3>Kvantov\u00e1 optika<\/h3>\n<p>Ch\u00e1pe foton jako prostorov\u011b rozprost\u0159en\u00fd objekt, kter\u00fd nem\u00e1 p\u0159esnou frekvenci, dokud nen\u00ed detekov\u00e1n.<\/p>\n<p>\u010casto mluv\u00ed o fotonech, kter\u00e9 trvaj\u00ed mikrosekundy a \u0161\u00ed\u0159\u00ed se na kilometrov\u00e9 vzd\u00e1lenosti jako rozprost\u0159en\u00fd puls pole.<\/p>\n<h3>\u010c\u00e1sticov\u00e1 fyzika<\/h3>\n<p>Pracuje s fotony, kter\u00e9 maj\u00ed p\u0159esn\u011b definovanou energii, hybnost a chovaj\u00ed se jako bodov\u00e9 excitace p\u0159i sr\u00e1\u017ek\u00e1ch.<\/p>\n<p>Paradox: oba popisy jsou spr\u00e1vn\u00e9, jen ka\u017ed\u00fd pro jin\u00fd druh experiment\u016f.<\/p>\n<h2>Foton jako excitace pole \u2013 form\u00e1ln\u00ed a nejlep\u0161\u00ed definice<\/h2>\n<p>V modern\u00ed fyzice (kvantov\u00e1 teorie pole) je foton definov\u00e1n takto:<\/p>\n<p><strong>Foton = excitace kvantovan\u00e9ho elektromagnetick\u00e9ho pole.<\/strong><\/p>\n<p>Pole je prim\u00e1rn\u00ed entita. Fotony jsou jeho \u201ekvantovan\u00e9 vibrace\u201c.<\/p>\n<p>Kdy\u017e je elektromagnetick\u00e9 pole v tzv. Fockov\u011b stavu, kde existuje p\u0159esn\u011b jedna kvantov\u00e1 excitace, \u0159\u00edk\u00e1me, \u017ee pole obsahuje jeden foton. Kdy\u017e se excitace vytvo\u0159\u00ed nebo zanikne, mluv\u00edme o \u201evytvo\u0159en\u00ed\u201c nebo \u201ezni\u010den\u00ed\u201c fotonu.<\/p>\n<p>Je to abstraktn\u00ed, ale p\u0159esn\u00e9.<\/p>\n<h2>Foton obvykle nelze lokalizovat<\/h2>\n<p>Zn\u00ed to p\u0159ekvapiv\u011b, ale ve fyzice plat\u00ed: Neexistuje smyslupln\u00fd zp\u016fsob, jak fotonu p\u0159i\u0159adit p\u0159esnou polohu.<\/p>\n<p>To nen\u00ed jen technick\u00fd detail \u2013 je to hlubok\u00fd princip. Fotony jsou excitace bez klidov\u00e9 hmotnosti, a ty se podle teorie pole nedaj\u00ed lokalizovat na mal\u00e9 oblasti prostoru bez zni\u010den\u00ed samotn\u00e9ho kvantov\u00e9ho stavu. Proto je intuitivn\u00ed p\u0159edstava \u201emal\u00e9 \u010d\u00e1stice sv\u011btla let\u00edc\u00ed po p\u0159\u00edmce\u201c nep\u0159esn\u00e1.<\/p>\n<h2>Po\u010det foton\u016f nen\u00ed v\u017edy definovan\u00fd<\/h2>\n<p>\u010cast\u00e9 nedorozum\u011bn\u00ed: \u201esv\u011btlo m\u00e1 ur\u010dit\u00fd po\u010det foton\u016f\u201c.<\/p>\n<p>To plat\u00ed jen n\u011bkdy. V obecn\u00e9 situaci je elektromagnetick\u00e9 pole v tzv. koherentn\u00edm stavu, ve kter\u00e9m: <\/p>\n<p>&#8211; po\u010det foton\u016f nen\u00ed p\u0159esn\u011b ur\u010den,<br \/>\n&#8211; existuje jen ur\u010dit\u00e1 statistick\u00e1 distribuce po\u010dtu foton\u016f,<br \/>\n&#8211; a p\u0159esn\u00e1 informace o po\u010dtu nem\u00e1 fyzik\u00e1ln\u00ed v\u00fdznam.<\/p>\n<p>To je typick\u00e9 pro v\u011bt\u0161inu b\u011b\u017en\u00e9ho sv\u011btla \u2013 laserov\u00e9 pulsy, \u017e\u00e1rovky, slunce, radiov\u00e9 vlny\u2026<\/p>\n<p>Foton jako \u201ejednotka\u201c d\u00e1v\u00e1 smysl jen v ur\u010dit\u00fdch speci\u00e1ln\u00edch situac\u00edch, kdy pole p\u0159iprav\u00edme do p\u0159esn\u011b definovan\u00e9ho kvantov\u00e9ho stavu.<\/p>\n<h2>Mnoho jev\u016f jde vysv\u011btlit i bez fotonu \u2013 alespo\u0148 \u010d\u00e1ste\u010dn\u011b<\/h2>\n<p>Zaj\u00edmav\u00fdm poznatkem z odborn\u00e9 diskuse je to, \u017ee n\u011bkter\u00e9 experimenty \u010dasto uv\u00e1d\u011bn\u00e9 jako \u201ed\u016fkaz existence foton\u016f\u201c lze kvalitativn\u011b vysv\u011btlit i bez konceptu fotonu, pomoc\u00ed vlnov\u00e9 teorie a kvantov\u00e9 interakce s hmotou.<\/p>\n<p>Pat\u0159\u00ed sem nap\u0159\u00edklad:<\/p>\n<p>&#8211; fotoelektrick\u00fd jev<br \/>\n&#8211; Compton\u016fv rozptyl<br \/>\n&#8211; Planckovo z\u00e1\u0159en\u00ed \u010dern\u00e9ho t\u011blesa<\/p>\n<p>To neznamen\u00e1, \u017ee fotony \u201eneexistuj\u00ed\u201c, ale \u017ee nejsou fundament\u00e1ln\u00ed ve smyslu klasick\u00e9 \u010d\u00e1stice. Jsou n\u00e1strojem, jak kvantovat elektromagnetick\u00e9 pole a jak spr\u00e1vn\u011b popsat jeho interakce s hmotou.<\/p>\n<h2>Kone\u010dn\u00e1, nejp\u0159esn\u011bj\u0161\u00ed definice fotonu<\/h2>\n<p>Pro odborn\u00e9 pou\u017eit\u00ed se foton nejl\u00e9pe definuje matematicky:<\/p>\n<p><strong>Foton je jednofotonov\u00fd eigenstav oper\u00e1toru po\u010dtu kvant elektromagnetick\u00e9ho pole v kvantov\u00e9 teorii pole.<\/strong><\/p>\n<p>Je to tedy stav pole, nikoli objekt v prostoru.<\/p>\n<h2>Foton nen\u00ed \u010d\u00e1stice v b\u011b\u017en\u00e9m slova smyslu<\/h2>\n<p>Je l\u00e1kav\u00e9 si foton p\u0159edstavovat jako malou sv\u00edt\u00edc\u00ed \u010d\u00e1stici, ale podle sou\u010dasn\u00e9 fyziky:<\/p>\n<p>&#8211; je to excitace pole,<br \/>\n&#8211; nelze ji lokalizovat,<br \/>\n&#8211; jej\u00ed po\u010det nen\u00ed obecn\u011b jednozna\u010dn\u00fd,<br \/>\n&#8211; jej\u00ed vlastnosti z\u00e1vis\u00ed na kontextu experimentu,<br \/>\n&#8211; a jej\u00ed \u201epodstata\u201c je sp\u00ed\u0161e matematick\u00fd model ne\u017e fyzik\u00e1ln\u00ed objekt.<\/p>\n<p>P\u0159esto je koncept fotonu jedn\u00edm z nejmocn\u011bj\u0161\u00edch n\u00e1stroj\u016f modern\u00ed fyziky \u2013 umo\u017e\u0148uje pochopit a vypo\u010d\u00edtat obrovskou \u0161k\u00e1lu jev\u016f, od laser\u016f p\u0159es GPS a\u017e po kosmologii.<\/p>\n<h1>Detailn\u00ed fyzik\u00e1ln\u00ed a matematick\u00e9 souvislosti pojmu foton<\/h1>\n<h2>Foton v kvantov\u00e9 teorii pole: pro\u010d excitace a ne \u010d\u00e1stice<\/h2>\n<p>V klasick\u00e9 teorii je elektromagnetick\u00e9 pole pops\u00e1no \u010dty\u0159vektorem potenci\u00e1lu. V kvantov\u00e9 teorii pole se tento potenci\u00e1l st\u00e1v\u00e1 oper\u00e1torem, kter\u00fd lze zapsat ve tvaru:<\/p>\n<p class=\"ql-center-displayed-equation\" style=\"line-height: 62px;\"><span class=\"ql-right-eqno\"> &nbsp; <\/span><span class=\"ql-left-eqno\"> &nbsp; <\/span><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.zsvltava.cz\/fyzika\/wp-content\/ql-cache\/quicklatex.com-1e5bc2b838d15b404a09c180aa4efa23_l3.png\" height=\"62\" width=\"514\" class=\"ql-img-displayed-equation quicklatex-auto-format\" alt=\"&#92;&#91; &#92;&#104;&#97;&#116;&#123;&#65;&#125;&#95;&#92;&#109;&#117;&#40;&#120;&#41;&#32;&#61;&#32; &#92;&#115;&#117;&#109;&#95;&#123;&#92;&#109;&#97;&#116;&#104;&#98;&#102;&#123;&#107;&#125;&#44;&#92;&#108;&#97;&#109;&#98;&#100;&#97;&#125;&#32; &#92;&#115;&#113;&#114;&#116;&#123;&#92;&#102;&#114;&#97;&#99;&#123;&#92;&#104;&#98;&#97;&#114;&#125;&#123;&#50;&#92;&#101;&#112;&#115;&#105;&#108;&#111;&#110;&#95;&#48;&#32;&#86;&#32;&#92;&#111;&#109;&#101;&#103;&#97;&#95;&#123;&#92;&#109;&#97;&#116;&#104;&#98;&#102;&#123;&#107;&#125;&#125;&#125;&#125; &#92;&#108;&#101;&#102;&#116;&#40;&#32; &#92;&#104;&#97;&#116;&#123;&#97;&#125;&#95;&#123;&#92;&#109;&#97;&#116;&#104;&#98;&#102;&#123;&#107;&#125;&#44;&#92;&#108;&#97;&#109;&#98;&#100;&#97;&#125;&#32;&#92;&#44;&#32;&#92;&#101;&#112;&#115;&#105;&#108;&#111;&#110;&#95;&#123;&#92;&#109;&#117;&#125;&#40;&#92;&#109;&#97;&#116;&#104;&#98;&#102;&#123;&#107;&#125;&#44;&#92;&#108;&#97;&#109;&#98;&#100;&#97;&#41;&#32;&#101;&#94;&#123;&#45;&#105;&#107;&#120;&#125; &#43; &#92;&#104;&#97;&#116;&#123;&#97;&#125;&#94;&#92;&#100;&#97;&#103;&#103;&#101;&#114;&#95;&#123;&#92;&#109;&#97;&#116;&#104;&#98;&#102;&#123;&#107;&#125;&#44;&#92;&#108;&#97;&#109;&#98;&#100;&#97;&#125;&#32;&#92;&#44;&#32;&#92;&#101;&#112;&#115;&#105;&#108;&#111;&#110;&#95;&#123;&#92;&#109;&#117;&#125;&#94;&#42;&#40;&#92;&#109;&#97;&#116;&#104;&#98;&#102;&#123;&#107;&#125;&#44;&#92;&#108;&#97;&#109;&#98;&#100;&#97;&#41;&#32;&#101;&#94;&#123;&#105;&#107;&#120;&#125; &#92;&#114;&#105;&#103;&#104;&#116;&#41;&#44; &#92;&#93;\" title=\"Rendered by QuickLaTeX.com\"\/><\/p>\n<p>kde:<\/p>\n<p class=\"ql-center-displayed-equation\" style=\"line-height: 19px;\"><span class=\"ql-right-eqno\"> &nbsp; <\/span><span class=\"ql-left-eqno\"> &nbsp; <\/span><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.zsvltava.cz\/fyzika\/wp-content\/ql-cache\/quicklatex.com-2c51d057eca43c464d22ec2fcd17bfbf_l3.png\" height=\"19\" width=\"31\" class=\"ql-img-displayed-equation quicklatex-auto-format\" alt=\"&#92;&#91; &#92;&#104;&#97;&#116;&#123;&#97;&#125;&#95;&#123;&#92;&#109;&#97;&#116;&#104;&#98;&#102;&#123;&#107;&#125;&#44;&#92;&#108;&#97;&#109;&#98;&#100;&#97;&#125;&#32; &#92;&#93;\" title=\"Rendered by QuickLaTeX.com\"\/><\/p>\n<p> je oper\u00e1tor zni\u010den\u00ed fotonu<\/p>\n<p class=\"ql-center-displayed-equation\" style=\"line-height: 28px;\"><span class=\"ql-right-eqno\"> &nbsp; <\/span><span class=\"ql-left-eqno\"> &nbsp; <\/span><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.zsvltava.cz\/fyzika\/wp-content\/ql-cache\/quicklatex.com-c8558b9be4289a2cd5a5e0d86aa07616_l3.png\" height=\"28\" width=\"31\" class=\"ql-img-displayed-equation quicklatex-auto-format\" alt=\"&#92;&#91; &#92;&#104;&#97;&#116;&#123;&#97;&#125;&#94;&#92;&#100;&#97;&#103;&#103;&#101;&#114;&#95;&#123;&#92;&#109;&#97;&#116;&#104;&#98;&#102;&#123;&#107;&#125;&#44;&#92;&#108;&#97;&#109;&#98;&#100;&#97;&#125;&#32; &#92;&#93;\" title=\"Rendered by QuickLaTeX.com\"\/><\/p>\n<p> je oper\u00e1tor vytvo\u0159en\u00ed fotonu<\/p>\n<p class=\"ql-center-displayed-equation\" style=\"line-height: 13px;\"><span class=\"ql-right-eqno\"> &nbsp; <\/span><span class=\"ql-left-eqno\"> &nbsp; <\/span><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.zsvltava.cz\/fyzika\/wp-content\/ql-cache\/quicklatex.com-bd5e090de1b4735e8881124a90325f91_l3.png\" height=\"13\" width=\"11\" class=\"ql-img-displayed-equation quicklatex-auto-format\" alt=\"&#92;&#91; &#92;&#108;&#97;&#109;&#98;&#100;&#97;&#32; &#92;&#93;\" title=\"Rendered by QuickLaTeX.com\"\/><\/p>\n<p> zna\u010d\u00ed polarizaci<\/p>\n<p class=\"ql-center-displayed-equation\" style=\"line-height: 13px;\"><span class=\"ql-right-eqno\"> &nbsp; <\/span><span class=\"ql-left-eqno\"> &nbsp; <\/span><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.zsvltava.cz\/fyzika\/wp-content\/ql-cache\/quicklatex.com-ee6ce7fbac1546af536e1ea2b1c8211a_l3.png\" height=\"13\" width=\"11\" class=\"ql-img-displayed-equation quicklatex-auto-format\" alt=\"&#92;&#91; &#92;&#109;&#97;&#116;&#104;&#98;&#102;&#123;&#107;&#125;&#32; &#92;&#93;\" title=\"Rendered by QuickLaTeX.com\"\/><\/p>\n<p> je vlnov\u00fd vektor<\/p>\n<p>Jednofotonov\u00fd stav je definov\u00e1n oper\u00e1torem vytvo\u0159en\u00ed p\u016fsob\u00edc\u00edm na vakuum:<\/p>\n<p class=\"ql-center-displayed-equation\" style=\"line-height: 28px;\"><span class=\"ql-right-eqno\"> &nbsp; <\/span><span class=\"ql-left-eqno\"> &nbsp; <\/span><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.zsvltava.cz\/fyzika\/wp-content\/ql-cache\/quicklatex.com-008e46a864b5efeee4b8454700fcd434_l3.png\" height=\"28\" width=\"127\" class=\"ql-img-displayed-equation quicklatex-auto-format\" alt=\"&#92;&#91; &#124;&#92;&#109;&#97;&#116;&#104;&#98;&#102;&#123;&#107;&#125;&#44;&#92;&#108;&#97;&#109;&#98;&#100;&#97;&#92;&#114;&#97;&#110;&#103;&#108;&#101;&#32;&#61;&#32; &#92;&#104;&#97;&#116;&#123;&#97;&#125;&#94;&#92;&#100;&#97;&#103;&#103;&#101;&#114;&#95;&#123;&#92;&#109;&#97;&#116;&#104;&#98;&#102;&#123;&#107;&#125;&#44;&#92;&#108;&#97;&#109;&#98;&#100;&#97;&#125;&#32;&#92;&#44;&#32;&#124;&#48;&#92;&#114;&#97;&#110;&#103;&#108;&#101;&#46; &#92;&#93;\" title=\"Rendered by QuickLaTeX.com\"\/><\/p>\n<p>Tento formalismus ukazuje, \u017ee fotony nejsou klasick\u00e9 \u010d\u00e1stice s dob\u0159e definovanou polohou, ale kvantovan\u00e9 m\u00f3dy elektromagnetick\u00e9ho pole. Jejich existence a vlastnosti vypl\u00fdvaj\u00ed z algebraick\u00fdch vztah\u016f mezi oper\u00e1tory pole, nikoli z intuitivn\u00edch p\u0159edstav o \u010d\u00e1stici v prostoru.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>P\u0159esn\u00e1 odpov\u011b\u010f fyziky, nen\u00ed ani jednoduch\u00e1, ani intuitivn\u00ed. Kdy\u017e se \u0159ekne foton, v\u011bt\u0161ina lid\u00ed si p\u0159edstav\u00ed miniaturn\u00ed \u201ebal\u00ed\u010dek sv\u011btla\u201c, malou \u010d\u00e1stici let\u00edc\u00ed prostorem. V u\u010debnic\u00edch &#8230;. <\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[41,13],"tags":[],"class_list":["post-6281","post","type-post","status-publish","format-standard","hentry","category-svetlo","category-zajimavosti"],"_links":{"self":[{"href":"https:\/\/www.zsvltava.cz\/fyzika\/index.php?rest_route=\/wp\/v2\/posts\/6281","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.zsvltava.cz\/fyzika\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.zsvltava.cz\/fyzika\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.zsvltava.cz\/fyzika\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.zsvltava.cz\/fyzika\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=6281"}],"version-history":[{"count":17,"href":"https:\/\/www.zsvltava.cz\/fyzika\/index.php?rest_route=\/wp\/v2\/posts\/6281\/revisions"}],"predecessor-version":[{"id":6298,"href":"https:\/\/www.zsvltava.cz\/fyzika\/index.php?rest_route=\/wp\/v2\/posts\/6281\/revisions\/6298"}],"wp:attachment":[{"href":"https:\/\/www.zsvltava.cz\/fyzika\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=6281"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.zsvltava.cz\/fyzika\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=6281"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.zsvltava.cz\/fyzika\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=6281"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}