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Консультация № 173345
17.10.2009, 09:19
0.00 руб.
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1
Здравствуйте, уважаемые эксперты! Помогите, пожалуйста, решить задачу:
7.30. Записать выражение для вероятности W обнаружения частицы в конечном объеме V, если известна координатная пси-функция частицы ψ(x, y, z).
7.30. Записать выражение для вероятности W обнаружения частицы в конечном объеме V, если известна координатная пси-функция частицы ψ(x, y, z).
Обсуждение
18.10.2009, 01:30
общий
это ответ
Здравствуйте, kot31.
Если плотность вероятности равна квадрату волновой функции, то вероятность обнаружения частицы в объёме V равна
интегралу ψ2 по объёму V делённому на интеграл ψ2 по всему пространству
p=(V[$8747$][$8747$][$8747$] ψ(x, y, z)2 dV)/(-[$8734$]+[$8734$][$8747$] -[$8734$]+[$8734$][$8747$] -[$8734$]+[$8734$][$8747$] ψ(x, y, z)2 dx dy dz)
Обычно волновая функция нормуруется так, чтобы -[$8734$]+[$8734$][$8747$] -[$8734$]+[$8734$][$8747$] -[$8734$]+[$8734$][$8747$] ψ(x, y, z)2 dx dy dz =1
Тогда вероятность p=V[$8747$][$8747$][$8747$] ψ(x, y, z)2 dV
Если плотность вероятности равна квадрату волновой функции, то вероятность обнаружения частицы в объёме V равна
интегралу ψ2 по объёму V делённому на интеграл ψ2 по всему пространству
p=(V[$8747$][$8747$][$8747$] ψ(x, y, z)2 dV)/(-[$8734$]+[$8734$][$8747$] -[$8734$]+[$8734$][$8747$] -[$8734$]+[$8734$][$8747$] ψ(x, y, z)2 dx dy dz)
Обычно волновая функция нормуруется так, чтобы -[$8734$]+[$8734$][$8747$] -[$8734$]+[$8734$][$8747$] -[$8734$]+[$8734$][$8747$] ψ(x, y, z)2 dx dy dz =1
Тогда вероятность p=V[$8747$][$8747$][$8747$] ψ(x, y, z)2 dV
5
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