"Das Schr\u00F6dinger-Bild der Quantenmechanik ist ein Formalismus f\u00FCr den Umgang mit zeitabh\u00E4ngigen Problemen. Im Schr\u00F6dinger-Bild wird die zeitliche Entwicklung der Zust\u00E4nde des Systems von den Zustandsvektoren getragen, die Operatoren \u00E4ndern sich (abgesehen von eventuellen expliziten Zeitabh\u00E4ngigkeiten) nicht. Das Schr\u00F6dinger-Bild unterscheidet sich damit vom Heisenberg-Bild der Quantenmechanik, in dem die Zust\u00E4nde zeitlich konstant sind und die Zeitentwicklung von den Operatoren getragen wird, sowie vom Wechselwirkungsbild, in dem sich sowohl Zust\u00E4nde als auch Operatoren mit der Zeit \u00E4ndern. Das Schr\u00F6dinger-Bild eignet sich vor allem zur Beschreibung von Problemen, in denen der Hamilton-Operator des Systems nicht explizit von der Zeit abh\u00E4ngt.Die Zeitentwicklung von Zust\u00E4nden wird durch die Schr\u00F6dingergleichung beschrieben: wobei den Hamilton-Operator des Systems beschreibt. Die meisten Operatoren, z. B. der Ortsoperator oder der Impulsoperator tragen keine Zeitabh\u00E4ngigkeit (weder implizit noch explizit). Ist der Hamilton-Operator des Systems auch zeitunabh\u00E4ngig, so ist die L\u00F6sung der Schr\u00F6dingergleichung zu einem Anfangszustand gegeben durch"@de . . . . . . "\u041F\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043B\u0435\u043D\u0438\u0435 \u0428\u0440\u0451\u0434\u0438\u043D\u0433\u0435\u0440\u0430 \u2014 \u043E\u0434\u0438\u043D \u0438\u0437 \u0441\u043F\u043E\u0441\u043E\u0431\u043E\u0432 \u043E\u043F\u0438\u0441\u0430\u043D\u0438\u044F \u043A\u0432\u0430\u043D\u0442\u043E\u0432\u043E\u043C\u0435\u0445\u0430\u043D\u0438\u0447\u0435\u0441\u043A\u0438\u0445 \u044F\u0432\u043B\u0435\u043D\u0438\u0439, \u043F\u0440\u0435\u0434\u043B\u043E\u0436\u0435\u043D\u043D\u044B\u0439 \u042D. \u0428\u0440\u0451\u0434\u0438\u043D\u0433\u0435\u0440\u043E\u043C \u0432 1926 \u0433\u043E\u0434\u0443. \u0417\u0434\u0435\u0441\u044C \u044D\u0432\u043E\u043B\u044E\u0446\u0438\u044F \u0441\u0438\u0441\u0442\u0435\u043C\u044B \u0432\u043E \u0432\u0440\u0435\u043C\u0435\u043D\u0438 \u043E\u043F\u0438\u0441\u044B\u0432\u0430\u0435\u0442\u0441\u044F \u0438\u0437\u043C\u0435\u043D\u0435\u043D\u0438\u0435\u043C \u0432\u0435\u043A\u0442\u043E\u0440\u0430 \u0441\u043E\u0441\u0442\u043E\u044F\u043D\u0438\u044F, \u0430 \u043E\u043F\u0435\u0440\u0430\u0442\u043E\u0440\u044B \u0444\u0438\u0437\u0438\u0447\u0435\u0441\u043A\u0438\u0445 \u0432\u0435\u043B\u0438\u0447\u0438\u043D \u043F\u043E\u0441\u0442\u043E\u044F\u043D\u043D\u044B. \u041E\u043F\u0435\u0440\u0430\u0442\u043E\u0440 \u0444\u0438\u0437\u0438\u0447\u0435\u0441\u043A\u043E\u0439 \u0432\u0435\u043B\u0438\u0447\u0438\u043D\u044B \u0432 \u043F\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043B\u0435\u043D\u0438\u0438 \u0428\u0440\u0451\u0434\u0438\u043D\u0433\u0435\u0440\u0430: \u0412\u0435\u043A\u0442\u043E\u0440 \u0441\u043E\u0441\u0442\u043E\u044F\u043D\u0438\u044F \u0432 \u043F\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043B\u0435\u043D\u0438\u0438 \u0428\u0440\u0451\u0434\u0438\u043D\u0433\u0435\u0440\u0430: , \u0433\u0434\u0435 \n* \u2014 \u043E\u043F\u0435\u0440\u0430\u0442\u043E\u0440 \u044D\u0432\u043E\u043B\u044E\u0446\u0438\u0438; \n* \u2014 \u0433\u0430\u043C\u0438\u043B\u044C\u0442\u043E\u043D\u0438\u0430\u043D. \u0421\u043E\u043E\u0442\u0432\u0435\u0442\u0441\u0442\u0432\u0435\u043D\u043D\u043E, \u0443\u0440\u0430\u0432\u043D\u0435\u043D\u0438\u0435 \u0428\u0440\u0451\u0434\u0438\u043D\u0433\u0435\u0440\u0430 \u0438\u043C\u0435\u0435\u0442 \u0441\u0442\u0430\u043D\u0434\u0430\u0440\u0442\u043D\u044B\u0439 \u0432\u0438\u0434: ."@ru . "\u041A\u0430\u0440\u0442\u0438\u043D\u0430 \u0428\u0440\u0435\u0434\u0456\u043D\u0433\u0435\u0440\u0430 \u2014 \u043E\u0434\u0438\u043D \u0456\u0437 \u0441\u043F\u043E\u0441\u043E\u0431\u0456\u0432 \u043E\u043F\u0438\u0441\u0443 \u043A\u0432\u0430\u043D\u0442\u043E\u0432\u043E\u043C\u0435\u0445\u0430\u043D\u0456\u0447\u043D\u0438\u0445 \u044F\u0432\u0438\u0449, \u0437\u0430\u043F\u0440\u043E\u043F\u043E\u043D\u043E\u0432\u0430\u043D\u0438\u0439 \u0415\u0440\u0432\u0456\u043D\u043E\u043C \u0428\u0440\u0435\u0434\u0456\u043D\u0433\u0435\u0440\u043E\u043C \u0443 1926 \u0440\u043E\u0446\u0456. \u0417\u0430 \u0428\u0440\u0435\u0434\u0456\u043D\u0433\u0435\u0440\u043E\u043C \u0437\u0430\u043B\u0435\u0436\u043D\u0456\u0441\u0442\u044C \u0432\u0456\u0434 \u0447\u0430\u0441\u0443 \u0437\u0430\u043A\u043B\u0430\u0434\u0435\u043D\u0430 \u0434\u043E \u0445\u0432\u0438\u043B\u044C\u043E\u0432\u043E\u0457 \u0444\u0443\u043D\u043A\u0446\u0456\u0457, \u0430 \u043E\u043F\u0435\u0440\u0430\u0442\u043E\u0440\u0438 \u0444\u0456\u0437\u0438\u0447\u043D\u0438\u0445 \u0432\u0435\u043B\u0438\u0447\u0438\u043D \u0437\u0430\u043B\u0438\u0448\u0430\u044E\u0442\u044C\u0441\u044F \u0441\u0442\u0430\u043B\u0438\u043C\u0438."@uk . "Na mec\u00E2nica qu\u00E2ntica, uma fun\u00E7\u00E3o de estado \u00E9 uma combina\u00E7\u00E3o linear (uma superposi\u00E7\u00E3o) de valor pr\u00F3prio. Numa Representa\u00E7\u00E3o de Schr\u00F6dinger, o estado de um sistema evolui com o tempo, onde a evolu\u00E7\u00E3o para um sistema qu\u00E2ntico fechado \u00E9 provocada por operador unit\u00E1rio chamado de operador da evolu\u00E7\u00E3o temporal. Isto difere de uma Representa\u00E7\u00E3o de Heisenberg onde os estados s\u00E3o constantes enquanto os observ\u00E1veis evoluem com o tempo. As estat\u00EDsticas de medi\u00E7\u00E3o s\u00E3o as mesmas em ambas as representa\u00E7\u00F5es."@pt . . . "\uC288\uB8B0\uB529\uAC70 \uBB18\uC0AC"@ko . . . . "In meccanica quantistica, uno stato \u00E8 dato da una combinazione lineare (o sovrapposizione) di autostati. Nella rappresentazione di Schr\u00F6dinger (in inglese Schr\u00F6dinger picture) gli stati del sistema evolvono nel tempo. L'evoluzione per un sistema quantistico chiuso \u00E8 data da un operatore unitario chiamato operatore di evoluzione temporale. Rappresentazioni alternative sono la rappresentazione di Heisenberg e la rappresentazione di interazione."@it . . . "\uC288\uB8B0\uB529\uAC70 \uBB18\uC0AC(Schr\u00F6dinger picture)\uB780 \uC5F0\uC0B0\uC790\uB294 \uC2DC\uAC04\uACFC \uBB34\uAD00\uD558\uC9C0\uB9CC \uC0C1\uD0DC \uBCA1\uD130\uB97C \uC2DC\uAC04\uC758\uC874\uC801\uC73C\uB85C \uB193\uB294 \uC591\uC790\uC5ED\uD559\uC758 \uC218\uC2DD\uD654\uC774\uB2E4. \uC0C1\uD0DC \uBCA1\uD130\uB97C \uC2DC\uAC04\uACFC \uBB34\uAD00\uD558\uAC8C \uB193\uACE0 \uC5F0\uC0B0\uC790\uB97C \uC2DC\uAC04\uC758\uC874\uC801\uC73C\uB85C \uB2E4\uB8E8\uB294 \uD558\uC774\uC820\uBCA0\uB974\uD06C \uBB18\uC0AC\uC640 \uB300\uC870\uC801\uC778 \uC218\uC2DD\uD654\uC774\uB2E4."@ko . . . "9731"^^ . . . . . . . . "1101077458"^^ . . . . . "Das Schr\u00F6dinger-Bild der Quantenmechanik ist ein Formalismus f\u00FCr den Umgang mit zeitabh\u00E4ngigen Problemen. Im Schr\u00F6dinger-Bild wird die zeitliche Entwicklung der Zust\u00E4nde des Systems von den Zustandsvektoren getragen, die Operatoren \u00E4ndern sich (abgesehen von eventuellen expliziten Zeitabh\u00E4ngigkeiten) nicht. Das Schr\u00F6dinger-Bild unterscheidet sich damit vom Heisenberg-Bild der Quantenmechanik, in dem die Zust\u00E4nde zeitlich konstant sind und die Zeitentwicklung von den Operatoren getragen wird, sowie vom Wechselwirkungsbild, in dem sich sowohl Zust\u00E4nde als auch Operatoren mit der Zeit \u00E4ndern. Das Schr\u00F6dinger-Bild eignet sich vor allem zur Beschreibung von Problemen, in denen der Hamilton-Operator des Systems nicht explizit von der Zeit abh\u00E4ngt.Die Zeitentwicklung von Zust\u00E4nden wird durch die"@de . "En m\u00E9canique quantique, la repr\u00E9sentation de Schr\u00F6dinger est une des trois formulations et modes de traitement des probl\u00E8mes d\u00E9pendant du temps dans le cadre de la m\u00E9canique quantique classique. Dans cette repr\u00E9sentation, l'\u00E9tat d'un syst\u00E8me \u00E9volue avec le temps."@fr . . . "\u0641\u064A \u0645\u064A\u0643\u0627\u0646\u064A\u0643\u0627 \u0627\u0644\u0643\u0645\u060C \u062A\u0645\u062B\u064A\u0644 \u0623\u0648 \u0643\u062A\u0627\u0628\u0629 \u0634\u0631\u0648\u062F\u0646\u063A\u0631 \u0647\u064A \u0648\u0627\u062D\u062F\u0629 \u0645\u0646 \u062B\u0644\u0627\u062B \u062A\u0631\u0643\u064A\u0628\u0627\u062A \u0648\u0637\u0631\u0642 \u0627\u0644\u0645\u0639\u0627\u0644\u062C\u0629 \u0644\u0644\u0645\u0634\u0627\u0643\u0644 \u0627\u0644\u0646\u0633\u0628\u064A\u0629 \u0644\u0644\u0632\u0645\u0646 \u0641\u064A \u0633\u064A\u0627\u0642 \u0645\u064A\u0643\u0627\u0646\u064A\u0643\u0627 \u0627\u0644\u0643\u0645 \u0627\u0644\u062A\u0642\u0644\u064A\u062F\u064A\u0629. \u0641\u064A \u0647\u0630\u0627 \u0627\u0644\u062A\u0645\u062B\u064A\u0644\u060C \u0627\u0644\u062D\u0627\u0644\u0629 \u0627\u0644\u0643\u0645\u0648\u0645\u064A\u0629 \u0644\u0644\u0646\u0638\u0627\u0645 \u062A\u062A\u063A\u064A\u0631 \u0641\u064A \u0627\u0644\u0632\u0645\u0646."@ar . "In physics, the Schr\u00F6dinger picture is a formulation of quantum mechanics in which the state vectors evolve in time, but the operators (observables and others) are mostly constant with respect to time (an exception is the Hamiltonian which may change if the potential changes). This differs from the Heisenberg picture which keeps the states constant while the observables evolve in time, and from the interaction picture in which both the states and the observables evolve in time. The Schr\u00F6dinger and Heisenberg pictures are related as active and passive transformations and commutation relations between operators are preserved in the passage between the two pictures."@en . "\u041F\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043B\u0435\u043D\u0438\u0435 \u0428\u0440\u0451\u0434\u0438\u043D\u0433\u0435\u0440\u0430 \u2014 \u043E\u0434\u0438\u043D \u0438\u0437 \u0441\u043F\u043E\u0441\u043E\u0431\u043E\u0432 \u043E\u043F\u0438\u0441\u0430\u043D\u0438\u044F \u043A\u0432\u0430\u043D\u0442\u043E\u0432\u043E\u043C\u0435\u0445\u0430\u043D\u0438\u0447\u0435\u0441\u043A\u0438\u0445 \u044F\u0432\u043B\u0435\u043D\u0438\u0439, \u043F\u0440\u0435\u0434\u043B\u043E\u0436\u0435\u043D\u043D\u044B\u0439 \u042D. \u0428\u0440\u0451\u0434\u0438\u043D\u0433\u0435\u0440\u043E\u043C \u0432 1926 \u0433\u043E\u0434\u0443. \u0417\u0434\u0435\u0441\u044C \u044D\u0432\u043E\u043B\u044E\u0446\u0438\u044F \u0441\u0438\u0441\u0442\u0435\u043C\u044B \u0432\u043E \u0432\u0440\u0435\u043C\u0435\u043D\u0438 \u043E\u043F\u0438\u0441\u044B\u0432\u0430\u0435\u0442\u0441\u044F \u0438\u0437\u043C\u0435\u043D\u0435\u043D\u0438\u0435\u043C \u0432\u0435\u043A\u0442\u043E\u0440\u0430 \u0441\u043E\u0441\u0442\u043E\u044F\u043D\u0438\u044F, \u0430 \u043E\u043F\u0435\u0440\u0430\u0442\u043E\u0440\u044B \u0444\u0438\u0437\u0438\u0447\u0435\u0441\u043A\u0438\u0445 \u0432\u0435\u043B\u0438\u0447\u0438\u043D \u043F\u043E\u0441\u0442\u043E\u044F\u043D\u043D\u044B. \u041E\u043F\u0435\u0440\u0430\u0442\u043E\u0440 \u0444\u0438\u0437\u0438\u0447\u0435\u0441\u043A\u043E\u0439 \u0432\u0435\u043B\u0438\u0447\u0438\u043D\u044B \u0432 \u043F\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043B\u0435\u043D\u0438\u0438 \u0428\u0440\u0451\u0434\u0438\u043D\u0433\u0435\u0440\u0430: \u0412\u0435\u043A\u0442\u043E\u0440 \u0441\u043E\u0441\u0442\u043E\u044F\u043D\u0438\u044F \u0432 \u043F\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043B\u0435\u043D\u0438\u0438 \u0428\u0440\u0451\u0434\u0438\u043D\u0433\u0435\u0440\u0430: , \u0433\u0434\u0435 \n* \u2014 \u043E\u043F\u0435\u0440\u0430\u0442\u043E\u0440 \u044D\u0432\u043E\u043B\u044E\u0446\u0438\u0438; \n* \u2014 \u0433\u0430\u043C\u0438\u043B\u044C\u0442\u043E\u043D\u0438\u0430\u043D. \u0421\u043E\u043E\u0442\u0432\u0435\u0442\u0441\u0442\u0432\u0435\u043D\u043D\u043E, \u0443\u0440\u0430\u0432\u043D\u0435\u043D\u0438\u0435 \u0428\u0440\u0451\u0434\u0438\u043D\u0433\u0435\u0440\u0430 \u0438\u043C\u0435\u0435\u0442 \u0441\u0442\u0430\u043D\u0434\u0430\u0440\u0442\u043D\u044B\u0439 \u0432\u0438\u0434: ."@ru . . "\u859B\u4E01\u683C\u7E6A\u666F"@zh . "\u859B\u4E01\u683C\u7E6A\u666F\uFF08Schr\u00F6dinger picture\uFF09\u662F\u91CF\u5B50\u529B\u5B78\u7684\u4E00\u7A2E\u8868\u8FF0\uFF0C\u70BA\u7D00\u5FF5\u7269\u7406\u5B78\u8005\u57C3\u723E\u6EAB\u00B7\u859B\u4E01\u683C\u800C\u547D\u540D\u3002\u5728\u859B\u4E01\u683C\u7E6A\u666F\u88CF\uFF0C\u91CF\u5B50\u7CFB\u7D71\u7684\u614B\u5411\u91CF\u96A8\u8457\u6642\u9593\u6D41\u6613\u800C\u6F14\u5316\uFF0C\u800C\u50CF\u4F4D\u7F6E\u3001\u81EA\u65CB\u4E00\u985E\u7684\u5C0D\u61C9\u65BC\u53EF\u89C0\u5BDF\u91CF\u7684\u7B97\u7B26\u5247\u8207\u6642\u9593\u7121\u95DC\u3002 \u859B\u4E01\u683C\u7E6A\u666F\u8207\u6D77\u68EE\u5821\u7E6A\u666F\u3001\u72C4\u62C9\u514B\u7E6A\u666F\u4E0D\u540C\u3002\u5728\u6D77\u68EE\u5821\u7E6A\u666F\u88CF\uFF0C\u5C0D\u61C9\u65BC\u53EF\u89C0\u5BDF\u91CF\u7684\u7B97\u7B26\u6703\u96A8\u8457\u6642\u9593\u6D41\u6613\u800C\u6F14\u5316\uFF0C\u800C\u63CF\u8FF0\u91CF\u5B50\u7CFB\u7D71\u7684\u614B\u5411\u91CF\u5247\u8207\u6642\u9593\u7121\u95DC\u3002\u5728\u72C4\u62C9\u514B\u7E6A\u666F\u88CF\uFF0C\u614B\u5411\u91CF\u8207\u7B97\u7B26\u90FD\u6703\u96A8\u8457\u6642\u9593\u6D41\u6613\u800C\u6F14\u5316\u3002 \u9019\u4E09\u7A2E\u7E6A\u666F\u6B8A\u9014\u540C\u6B78\uFF0C\u6240\u7372\u5F97\u7684\u7D50\u679C\u5B8C\u5168\u4E00\u81F4\u3002\u9019\u662F\u5FC5\u7136\u7684\uFF0C\u56E0\u70BA\u5B83\u5011\u90FD\u662F\u5728\u8868\u9054\u540C\u6A23\u7684\u7269\u7406\u73FE\u8C61\u3002 \u5728\u859B\u4E01\u683C\u7E6A\u666F\u88CF\uFF0C\u8CA0\u8CAC\u6642\u9593\u6F14\u5316\u7684\u7B97\u7B26\u662F\u4E00\u7A2E\u4E48\u6B63\u7B97\u7B26\uFF0C\u7A31\u70BA\u3002\u5047\u8A2D\u6642\u9593\u5F9E\u6D41\u6613\u5230\uFF0C\u800C\u7D93\u904E\u9019\u6BB5\u6642\u9593\u9593\u9694\uFF0C\u614B\u5411\u91CF\u6F14\u5316\u70BA\u614B\u5411\u91CF\uFF0C\u9019\u6642\u9593\u6F14\u5316\u904E\u7A0B\u4EE5\u65B9\u7A0B\u5F0F\u8868\u793A\u70BA \uFF1B \u5176\u4E2D\uFF0C\u662F\u6642\u9593\u6F14\u5316\u7B97\u7B26\u3002 \u5047\u8A2D\u7CFB\u7D71\u7684\u54C8\u5BC6\u9813\u91CF\u4E0D\u542B\u6642\uFF0C\u5247\u6642\u9593\u6F14\u5316\u7B97\u7B26\u70BA \uFF1B \u5176\u4E2D\uFF0C\u662F\u7D04\u5316\u666E\u6717\u514B\u5E38\u6578\uFF0C\u6307\u6578\u51FD\u6578\u5FC5\u9808\u901A\u904E\u5176\u6CF0\u52D2\u7D1A\u6578\u8A08\u7B97\u3002 \u5728\u521D\u7D1A\u91CF\u5B50\u529B\u5B78\u6559\u79D1\u66F8\u88CF\uFF0C\u6642\u5E38\u6703\u4F7F\u7528\u859B\u4E01\u683C\u7E6A\u666F\u3002"@zh . . . . "\u0641\u064A \u0645\u064A\u0643\u0627\u0646\u064A\u0643\u0627 \u0627\u0644\u0643\u0645\u060C \u062A\u0645\u062B\u064A\u0644 \u0623\u0648 \u0643\u062A\u0627\u0628\u0629 \u0634\u0631\u0648\u062F\u0646\u063A\u0631 \u0647\u064A \u0648\u0627\u062D\u062F\u0629 \u0645\u0646 \u062B\u0644\u0627\u062B \u062A\u0631\u0643\u064A\u0628\u0627\u062A \u0648\u0637\u0631\u0642 \u0627\u0644\u0645\u0639\u0627\u0644\u062C\u0629 \u0644\u0644\u0645\u0634\u0627\u0643\u0644 \u0627\u0644\u0646\u0633\u0628\u064A\u0629 \u0644\u0644\u0632\u0645\u0646 \u0641\u064A \u0633\u064A\u0627\u0642 \u0645\u064A\u0643\u0627\u0646\u064A\u0643\u0627 \u0627\u0644\u0643\u0645 \u0627\u0644\u062A\u0642\u0644\u064A\u062F\u064A\u0629. \u0641\u064A \u0647\u0630\u0627 \u0627\u0644\u062A\u0645\u062B\u064A\u0644\u060C \u0627\u0644\u062D\u0627\u0644\u0629 \u0627\u0644\u0643\u0645\u0648\u0645\u064A\u0629 \u0644\u0644\u0646\u0638\u0627\u0645 \u062A\u062A\u063A\u064A\u0631 \u0641\u064A \u0627\u0644\u0632\u0645\u0646."@ar . "En m\u00E9canique quantique, la repr\u00E9sentation de Schr\u00F6dinger est une des trois formulations et modes de traitement des probl\u00E8mes d\u00E9pendant du temps dans le cadre de la m\u00E9canique quantique classique. Dans cette repr\u00E9sentation, l'\u00E9tat d'un syst\u00E8me \u00E9volue avec le temps."@fr . . . . "\u30B7\u30E5\u30EC\u30FC\u30C7\u30A3\u30F3\u30AC\u30FC\u63CF\u50CF"@ja . . . . . "\u062A\u0635\u0648\u0631 \u0634\u0631\u0648\u062F\u0646\u063A\u0631"@ar . . . "Schr\u00F6dinger-Bild"@de . "\u041A\u0430\u0440\u0442\u0438\u043D\u0430 \u0428\u0440\u0435\u0434\u0456\u043D\u0433\u0435\u0440\u0430"@uk . . . . . "Rappresentazione di Schr\u00F6dinger"@it . . . . . . "\u859B\u4E01\u683C\u7E6A\u666F\uFF08Schr\u00F6dinger picture\uFF09\u662F\u91CF\u5B50\u529B\u5B78\u7684\u4E00\u7A2E\u8868\u8FF0\uFF0C\u70BA\u7D00\u5FF5\u7269\u7406\u5B78\u8005\u57C3\u723E\u6EAB\u00B7\u859B\u4E01\u683C\u800C\u547D\u540D\u3002\u5728\u859B\u4E01\u683C\u7E6A\u666F\u88CF\uFF0C\u91CF\u5B50\u7CFB\u7D71\u7684\u614B\u5411\u91CF\u96A8\u8457\u6642\u9593\u6D41\u6613\u800C\u6F14\u5316\uFF0C\u800C\u50CF\u4F4D\u7F6E\u3001\u81EA\u65CB\u4E00\u985E\u7684\u5C0D\u61C9\u65BC\u53EF\u89C0\u5BDF\u91CF\u7684\u7B97\u7B26\u5247\u8207\u6642\u9593\u7121\u95DC\u3002 \u859B\u4E01\u683C\u7E6A\u666F\u8207\u6D77\u68EE\u5821\u7E6A\u666F\u3001\u72C4\u62C9\u514B\u7E6A\u666F\u4E0D\u540C\u3002\u5728\u6D77\u68EE\u5821\u7E6A\u666F\u88CF\uFF0C\u5C0D\u61C9\u65BC\u53EF\u89C0\u5BDF\u91CF\u7684\u7B97\u7B26\u6703\u96A8\u8457\u6642\u9593\u6D41\u6613\u800C\u6F14\u5316\uFF0C\u800C\u63CF\u8FF0\u91CF\u5B50\u7CFB\u7D71\u7684\u614B\u5411\u91CF\u5247\u8207\u6642\u9593\u7121\u95DC\u3002\u5728\u72C4\u62C9\u514B\u7E6A\u666F\u88CF\uFF0C\u614B\u5411\u91CF\u8207\u7B97\u7B26\u90FD\u6703\u96A8\u8457\u6642\u9593\u6D41\u6613\u800C\u6F14\u5316\u3002 \u9019\u4E09\u7A2E\u7E6A\u666F\u6B8A\u9014\u540C\u6B78\uFF0C\u6240\u7372\u5F97\u7684\u7D50\u679C\u5B8C\u5168\u4E00\u81F4\u3002\u9019\u662F\u5FC5\u7136\u7684\uFF0C\u56E0\u70BA\u5B83\u5011\u90FD\u662F\u5728\u8868\u9054\u540C\u6A23\u7684\u7269\u7406\u73FE\u8C61\u3002 \u5728\u859B\u4E01\u683C\u7E6A\u666F\u88CF\uFF0C\u8CA0\u8CAC\u6642\u9593\u6F14\u5316\u7684\u7B97\u7B26\u662F\u4E00\u7A2E\u4E48\u6B63\u7B97\u7B26\uFF0C\u7A31\u70BA\u3002\u5047\u8A2D\u6642\u9593\u5F9E\u6D41\u6613\u5230\uFF0C\u800C\u7D93\u904E\u9019\u6BB5\u6642\u9593\u9593\u9694\uFF0C\u614B\u5411\u91CF\u6F14\u5316\u70BA\u614B\u5411\u91CF\uFF0C\u9019\u6642\u9593\u6F14\u5316\u904E\u7A0B\u4EE5\u65B9\u7A0B\u5F0F\u8868\u793A\u70BA \uFF1B \u5176\u4E2D\uFF0C\u662F\u6642\u9593\u6F14\u5316\u7B97\u7B26\u3002 \u5047\u8A2D\u7CFB\u7D71\u7684\u54C8\u5BC6\u9813\u91CF\u4E0D\u542B\u6642\uFF0C\u5247\u6642\u9593\u6F14\u5316\u7B97\u7B26\u70BA \uFF1B \u5176\u4E2D\uFF0C\u662F\u7D04\u5316\u666E\u6717\u514B\u5E38\u6578\uFF0C\u6307\u6578\u51FD\u6578\u5FC5\u9808\u901A\u904E\u5176\u6CF0\u52D2\u7D1A\u6578\u8A08\u7B97\u3002 \u5728\u521D\u7D1A\u91CF\u5B50\u529B\u5B78\u6559\u79D1\u66F8\u88CF\uFF0C\u6642\u5E38\u6703\u4F7F\u7528\u859B\u4E01\u683C\u7E6A\u666F\u3002"@zh . . . . . . . "\u041F\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043B\u0435\u043D\u0438\u0435 \u0428\u0440\u0451\u0434\u0438\u043D\u0433\u0435\u0440\u0430"@ru . . . . . "\u91CF\u5B50\u8AD6\u306B\u304A\u3044\u3066\u30B7\u30E5\u30EC\u30FC\u30C7\u30A3\u30F3\u30AC\u30FC\u63CF\u50CF\uFF08\u30B7\u30E5\u30EC\u30FC\u30C7\u30A3\u30F3\u30AC\u30FC\u3073\u3087\u3046\u305E\u3046\u3001\u82F1: Schr\u00F6dinger picture\uFF09\u307E\u305F\u306F\u30B7\u30E5\u30EC\u30FC\u30C7\u30A3\u30F3\u30AC\u30FC\u8868\u793A\uFF08\u30B7\u30E5\u30EC\u30FC\u30C7\u30A3\u30F3\u30AC\u30FC\u3072\u3087\u3046\u3058\u3001\u82F1: Schr\u00F6dinger representation\uFF09\u3068\u306F\u3001\u7CFB\u306E\u6642\u9593\u767A\u5C55\u306B\u3064\u3044\u3066\u300C\u30AA\u30D6\u30B6\u30FC\u30D0\u30D6\u30EB\u306F\u6642\u9593\u5909\u5316\u305B\u305A\u306B\u3001\u72B6\u614B\u304C\u6642\u9593\u767A\u5C55\u3059\u308B\u300D\u3068\u8003\u3048\u308B\u65B9\u6CD5\u3067\u3042\u308B\u3002 \u3053\u308C\u306F\u300C\u72B6\u614B\u306F\u6642\u9593\u5909\u5316\u305B\u305A\u3001\u30AA\u30D6\u30B6\u30FC\u30D0\u30D6\u30EB\u304C\u6642\u9593\u767A\u5C55\u3059\u308B\u300D\u3068\u8003\u3048\u308B\u30CF\u30A4\u30BC\u30F3\u30D9\u30EB\u30AF\u63CF\u50CF\u3084\u3001\u300C\u72B6\u614B\u3082\u30AA\u30D6\u30B6\u30FC\u30D0\u30D6\u30EB\u3082\u6642\u9593\u767A\u5C55\u3059\u308B\u300D\u3068\u8003\u3048\u308B\u76F8\u4E92\u4F5C\u7528\u63CF\u50CF\u3068\u306F\u7570\u306A\u308B\u8003\u3048\u65B9\u30FB\u5B9A\u5F0F\u5316\u3067\u3042\u308B\u304C\u3001\u3069\u306E\u63CF\u50CF\u3092\u7528\u3044\u3066\u3082\u5F97\u3089\u308C\u308B\u30AA\u30D6\u30B6\u30FC\u30D0\u30D6\u30EB\u306E\u671F\u5F85\u5024\u3084\u6E2C\u5B9A\u5024\u306E\u78BA\u7387\u5206\u5E03\u306F\u540C\u3058\u306A\u306E\u3067\u7B49\u4FA1\u306A\u7406\u8AD6\u3067\u3042\u308B\u3002"@ja . . . . "Representa\u00E7\u00E3o de Schr\u00F6dinger"@pt . . "\u041A\u0430\u0440\u0442\u0438\u043D\u0430 \u0428\u0440\u0435\u0434\u0456\u043D\u0433\u0435\u0440\u0430 \u2014 \u043E\u0434\u0438\u043D \u0456\u0437 \u0441\u043F\u043E\u0441\u043E\u0431\u0456\u0432 \u043E\u043F\u0438\u0441\u0443 \u043A\u0432\u0430\u043D\u0442\u043E\u0432\u043E\u043C\u0435\u0445\u0430\u043D\u0456\u0447\u043D\u0438\u0445 \u044F\u0432\u0438\u0449, \u0437\u0430\u043F\u0440\u043E\u043F\u043E\u043D\u043E\u0432\u0430\u043D\u0438\u0439 \u0415\u0440\u0432\u0456\u043D\u043E\u043C \u0428\u0440\u0435\u0434\u0456\u043D\u0433\u0435\u0440\u043E\u043C \u0443 1926 \u0440\u043E\u0446\u0456. \u0417\u0430 \u0428\u0440\u0435\u0434\u0456\u043D\u0433\u0435\u0440\u043E\u043C \u0437\u0430\u043B\u0435\u0436\u043D\u0456\u0441\u0442\u044C \u0432\u0456\u0434 \u0447\u0430\u0441\u0443 \u0437\u0430\u043A\u043B\u0430\u0434\u0435\u043D\u0430 \u0434\u043E \u0445\u0432\u0438\u043B\u044C\u043E\u0432\u043E\u0457 \u0444\u0443\u043D\u043A\u0446\u0456\u0457, \u0430 \u043E\u043F\u0435\u0440\u0430\u0442\u043E\u0440\u0438 \u0444\u0456\u0437\u0438\u0447\u043D\u0438\u0445 \u0432\u0435\u043B\u0438\u0447\u0438\u043D \u0437\u0430\u043B\u0438\u0448\u0430\u044E\u0442\u044C\u0441\u044F \u0441\u0442\u0430\u043B\u0438\u043C\u0438."@uk . . . "\uC288\uB8B0\uB529\uAC70 \uBB18\uC0AC(Schr\u00F6dinger picture)\uB780 \uC5F0\uC0B0\uC790\uB294 \uC2DC\uAC04\uACFC \uBB34\uAD00\uD558\uC9C0\uB9CC \uC0C1\uD0DC \uBCA1\uD130\uB97C \uC2DC\uAC04\uC758\uC874\uC801\uC73C\uB85C \uB193\uB294 \uC591\uC790\uC5ED\uD559\uC758 \uC218\uC2DD\uD654\uC774\uB2E4. \uC0C1\uD0DC \uBCA1\uD130\uB97C \uC2DC\uAC04\uACFC \uBB34\uAD00\uD558\uAC8C \uB193\uACE0 \uC5F0\uC0B0\uC790\uB97C \uC2DC\uAC04\uC758\uC874\uC801\uC73C\uB85C \uB2E4\uB8E8\uB294 \uD558\uC774\uC820\uBCA0\uB974\uD06C \uBB18\uC0AC\uC640 \uB300\uC870\uC801\uC778 \uC218\uC2DD\uD654\uC774\uB2E4."@ko . "Repr\u00E9sentation de Schr\u00F6dinger"@fr . "419200"^^ . "Schr\u00F6dinger picture"@en . . . . . . "In physics, the Schr\u00F6dinger picture is a formulation of quantum mechanics in which the state vectors evolve in time, but the operators (observables and others) are mostly constant with respect to time (an exception is the Hamiltonian which may change if the potential changes). This differs from the Heisenberg picture which keeps the states constant while the observables evolve in time, and from the interaction picture in which both the states and the observables evolve in time. The Schr\u00F6dinger and Heisenberg pictures are related as active and passive transformations and commutation relations between operators are preserved in the passage between the two pictures. In the Schr\u00F6dinger picture, the state of a system evolves with time. The evolution for a closed quantum system is brought about by a unitary operator, the time evolution operator. For time evolution from a state vector at time t0 to a state vector at time t, the time-evolution operator is commonly written , and one has In the case where the Hamiltonian H of the system does not vary with time, the time-evolution operator has the form where the exponent is evaluated via its Taylor series. The Schr\u00F6dinger picture is useful when dealing with a time-independent Hamiltonian H; that is, ."@en . "\u91CF\u5B50\u8AD6\u306B\u304A\u3044\u3066\u30B7\u30E5\u30EC\u30FC\u30C7\u30A3\u30F3\u30AC\u30FC\u63CF\u50CF\uFF08\u30B7\u30E5\u30EC\u30FC\u30C7\u30A3\u30F3\u30AC\u30FC\u3073\u3087\u3046\u305E\u3046\u3001\u82F1: Schr\u00F6dinger picture\uFF09\u307E\u305F\u306F\u30B7\u30E5\u30EC\u30FC\u30C7\u30A3\u30F3\u30AC\u30FC\u8868\u793A\uFF08\u30B7\u30E5\u30EC\u30FC\u30C7\u30A3\u30F3\u30AC\u30FC\u3072\u3087\u3046\u3058\u3001\u82F1: Schr\u00F6dinger representation\uFF09\u3068\u306F\u3001\u7CFB\u306E\u6642\u9593\u767A\u5C55\u306B\u3064\u3044\u3066\u300C\u30AA\u30D6\u30B6\u30FC\u30D0\u30D6\u30EB\u306F\u6642\u9593\u5909\u5316\u305B\u305A\u306B\u3001\u72B6\u614B\u304C\u6642\u9593\u767A\u5C55\u3059\u308B\u300D\u3068\u8003\u3048\u308B\u65B9\u6CD5\u3067\u3042\u308B\u3002 \u3053\u308C\u306F\u300C\u72B6\u614B\u306F\u6642\u9593\u5909\u5316\u305B\u305A\u3001\u30AA\u30D6\u30B6\u30FC\u30D0\u30D6\u30EB\u304C\u6642\u9593\u767A\u5C55\u3059\u308B\u300D\u3068\u8003\u3048\u308B\u30CF\u30A4\u30BC\u30F3\u30D9\u30EB\u30AF\u63CF\u50CF\u3084\u3001\u300C\u72B6\u614B\u3082\u30AA\u30D6\u30B6\u30FC\u30D0\u30D6\u30EB\u3082\u6642\u9593\u767A\u5C55\u3059\u308B\u300D\u3068\u8003\u3048\u308B\u76F8\u4E92\u4F5C\u7528\u63CF\u50CF\u3068\u306F\u7570\u306A\u308B\u8003\u3048\u65B9\u30FB\u5B9A\u5F0F\u5316\u3067\u3042\u308B\u304C\u3001\u3069\u306E\u63CF\u50CF\u3092\u7528\u3044\u3066\u3082\u5F97\u3089\u308C\u308B\u30AA\u30D6\u30B6\u30FC\u30D0\u30D6\u30EB\u306E\u671F\u5F85\u5024\u3084\u6E2C\u5B9A\u5024\u306E\u78BA\u7387\u5206\u5E03\u306F\u540C\u3058\u306A\u306E\u3067\u7B49\u4FA1\u306A\u7406\u8AD6\u3067\u3042\u308B\u3002"@ja . . . . . . "In meccanica quantistica, uno stato \u00E8 dato da una combinazione lineare (o sovrapposizione) di autostati. Nella rappresentazione di Schr\u00F6dinger (in inglese Schr\u00F6dinger picture) gli stati del sistema evolvono nel tempo. L'evoluzione per un sistema quantistico chiuso \u00E8 data da un operatore unitario chiamato operatore di evoluzione temporale. Rappresentazioni alternative sono la rappresentazione di Heisenberg e la rappresentazione di interazione."@it . . . "Na mec\u00E2nica qu\u00E2ntica, uma fun\u00E7\u00E3o de estado \u00E9 uma combina\u00E7\u00E3o linear (uma superposi\u00E7\u00E3o) de valor pr\u00F3prio. Numa Representa\u00E7\u00E3o de Schr\u00F6dinger, o estado de um sistema evolui com o tempo, onde a evolu\u00E7\u00E3o para um sistema qu\u00E2ntico fechado \u00E9 provocada por operador unit\u00E1rio chamado de operador da evolu\u00E7\u00E3o temporal. Isto difere de uma Representa\u00E7\u00E3o de Heisenberg onde os estados s\u00E3o constantes enquanto os observ\u00E1veis evoluem com o tempo. As estat\u00EDsticas de medi\u00E7\u00E3o s\u00E3o as mesmas em ambas as representa\u00E7\u00F5es."@pt .