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Консультация № 174923
06.12.2009, 12:31
0.00 руб.
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6
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Доброго времени суток уважаемые эксперты! Помогите пожалуйста в решении задачи.
Атом испускает фотон с длиной волны л=800нм. Продолжительность излучения (тау) t=10нс. Определить наибольшую точность (Δл), с которой может быть измерена длина излучения.
Заранее благодарю!
С уважением, Дмитрий.
Атом испускает фотон с длиной волны л=800нм. Продолжительность излучения (тау) t=10нс. Определить наибольшую точность (Δл), с которой может быть измерена длина излучения.
Заранее благодарю!
С уважением, Дмитрий.
Обсуждение
Неизвестный
06.12.2009, 20:05
общий
В какой формулировке Вам был дан принцип неопределенности Гайзенберга?
07.12.2009, 00:28
общий
это ответ
Здравствуйте, Веселов Дмитрий Валерьевич.
Одна из форм принципа неопределённости
∆W∆т ≥ ħ/2=h/(4п)
∆W≥ h/(4п∆т)
неопределённость частоты
∆v=∆W/h≥ 1/(4пт)
[$916$][$955$]≥∆v*|d[$955$]/dv|=∆v*|d(c/v)/dv|=∆v*c/v2=∆v*[$955$]2/c=[$955$]2/(4птc)=1,7*10-14 м
Одна из форм принципа неопределённости
∆W∆т ≥ ħ/2=h/(4п)
∆W≥ h/(4п∆т)
неопределённость частоты
∆v=∆W/h≥ 1/(4пт)
[$916$][$955$]≥∆v*|d[$955$]/dv|=∆v*|d(c/v)/dv|=∆v*c/v2=∆v*[$955$]2/c=[$955$]2/(4птc)=1,7*10-14 м
5
Неизвестный
21.12.2009, 20:42
общий
Химик CH:
Здравствуйте, Химик CH!
Не могли бы Вы пояснить, как получилась формула Δλ≥∆v*|dλ/dv|?
Здравствуйте, Химик CH!
Не могли бы Вы пояснить, как получилась формула Δλ≥∆v*|dλ/dv|?
21.12.2009, 22:00
общий
Gerhard:
есть такое правило, что если некая величина зависит от другой величины, как y=f(x), и известно некоторое значение величины х=х0[$177$][$916$]х,
то неопределённость величины y может быть оценена по формуле [$916$]y=|[$916$]x*df(x0)/dx|
то есть y=f(x0)[$177$]|[$916$]x*df(x0)/dx|
есть такое правило, что если некая величина зависит от другой величины, как y=f(x), и известно некоторое значение величины х=х0[$177$][$916$]х,
то неопределённость величины y может быть оценена по формуле [$916$]y=|[$916$]x*df(x0)/dx|
то есть y=f(x0)[$177$]|[$916$]x*df(x0)/dx|
Неизвестный
22.12.2009, 18:58
общий
Химик CH:
Спасибо, хорошее правило, а то ведь сначала в голову приходит неправильный подход - расписать энергию в соотн. неопределенностей как h*c/Δλ и отсюда выразить Δλ, но тогда получится что неопределенность МЕНЬШЕ или равна (с*Δt)
Спасибо, хорошее правило, а то ведь сначала в голову приходит неправильный подход - расписать энергию в соотн. неопределенностей как h*c/Δλ и отсюда выразить Δλ, но тогда получится что неопределенность МЕНЬШЕ или равна (с*Δt)
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