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Консультация № 194847
01.03.2019, 20:30
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Здравствуйте! У меня возникли сложности с таким вопросом:
В некоторый момент область локализации свободного
электрона Δx = 0.1 НМ . Оценить ширину области локализации этого
электрона x Δ спустя промежуток времени t = 1c. Масса электрона m = 9.1x 10^-31кг
⋅
В некоторый момент область локализации свободного
электрона Δx = 0.1 НМ . Оценить ширину области локализации этого
электрона x Δ спустя промежуток времени t = 1c. Масса электрона m = 9.1x 10^-31кг
⋅
Обсуждение
04.03.2019, 04:53
общий
это ответ
Здравствуйте, lenocvol!
Согласно принципу неопределённости
где [$916$]p - неопределённость импульса, h = 6.6254[$183$]10[sup]-34[/sup] Дж[$183$]с - постоянная Планка. Так как импульс частицы массы m связан с её скоростью v соотношением
то
и
откуда неопределённость скорости равна
м/с.
Полагая её сопоставимой по порядку с самой скоростью, получаем, что спустя время t = 1 с электрон может пройти расстояние
м, которое и даёт ширину области локализации.
Согласно принципу неопределённости
где [$916$]p - неопределённость импульса, h = 6.6254[$183$]10[sup]-34[/sup] Дж[$183$]с - постоянная Планка. Так как импульс частицы массы m связан с её скоростью v соотношением
то
и
откуда неопределённость скорости равна
м/с.Полагая её сопоставимой по порядку с самой скоростью, получаем, что спустя время t = 1 с электрон может пройти расстояние
м, которое и даёт ширину области локализации.
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