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Консультация № 198977
28.06.2020, 00:28
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ПОМОГИТЕ ПРОШУ!
168. Частица в одномерной прямоугольной «потенциальной яме» шириной l с бесконечно высокими «стенками» находится в возбужденном состоянии (n = 6). Определить вероятность обнаружения частицы в области 1/12l ≤ x ≤ 2/3l. Пояснить полученный результат графически
158. Частица в одномерной прямоугольной «потенциальной яме» шириной l с бесконечно высокими «стенками» находится в возбужденном состоянии (n = 4). Определить вероятность обнаружения частицы в области 1/4l ≤ x ≤ 7/8l. Пояснить полученный результат графически
109. Определить, какие спектральные линии появятся в видимой области спектра излучения атомарного водорода под действием ультрафиолетового излучения с длиной волны λ = 0,1 мкм.
168. Частица в одномерной прямоугольной «потенциальной яме» шириной l с бесконечно высокими «стенками» находится в возбужденном состоянии (n = 6). Определить вероятность обнаружения частицы в области 1/12l ≤ x ≤ 2/3l. Пояснить полученный результат графически
158. Частица в одномерной прямоугольной «потенциальной яме» шириной l с бесконечно высокими «стенками» находится в возбужденном состоянии (n = 4). Определить вероятность обнаружения частицы в области 1/4l ≤ x ≤ 7/8l. Пояснить полученный результат графически
109. Определить, какие спектральные линии появятся в видимой области спектра излучения атомарного водорода под действием ультрафиолетового излучения с длиной волны λ = 0,1 мкм.
Обсуждение
02.07.2020, 16:15
общий
это ответ
Здравствуйте, Hermippe!
Плотность вероятности обнаружения частицы в конкретной точке определяется величиной |[$968$]|[sup]2[/sup], где [$968$] - волновая функция, которая для частицы, находящейся в одномерной прямоугольной "потенциальной яме" шириной l в возбуждённом состоянии с главным квантовым числом n, имеет вид
Соответственно, вероятность обнаружения частицы в интервале [x[sub]1[/sub], x[sub]2[/sub]] будет равна
В данном случае для x[sub]1[/sub] = 1/12 l, x[sub]2[/sub] = 2/3 l и n = 6 (задача 168) имеем
Для x[sub]1[/sub] = 1/4 l, x[sub]2[/sub] = 7/8 l и n = 4 (задача 158) имеем
Плотность вероятности обнаружения частицы в конкретной точке определяется величиной |[$968$]|[sup]2[/sup], где [$968$] - волновая функция, которая для частицы, находящейся в одномерной прямоугольной "потенциальной яме" шириной l в возбуждённом состоянии с главным квантовым числом n, имеет вид
Соответственно, вероятность обнаружения частицы в интервале [x[sub]1[/sub], x[sub]2[/sub]] будет равна
В данном случае для x[sub]1[/sub] = 1/12 l, x[sub]2[/sub] = 2/3 l и n = 6 (задача 168) имеем
Для x[sub]1[/sub] = 1/4 l, x[sub]2[/sub] = 7/8 l и n = 4 (задача 158) имеем
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