[問題] 關於量子力學中p^2/2m=?=Ek
考慮一個無窮位能井
則我們能用一組波函數來描述這個系統的狀態
假設我們對這組波函數測量其能量,得到一能量E1
和對應到能量E1的一組eigenfunction
在無窮位能井中,我們能畫出這組eigenfunction 對x軸的分布
現在,利用fourier transformation將此組eigenfunction從 x空間表像
轉換到p 空間表像
我們會得到一組 eigenfunction對p動量的分布
試問,在無窮位能井中,因為位能=0處波函數才有值
顧測量此系統的能量就可看成測量此系統的動能,在動能E1固定的情況下
是否將此EIGENFUNCTION轉換到P空間後,所測出的動量必滿足E1=P^2/2M??
但奇怪的是,為什麼已經測出一組能量,但是動量分布卻沒有一組固定的值呢?
懇請解惑,真的想好好久=.=..............
--
※ 發信站: 批踢踢實業坊(ptt.cc)
◆ From: 218.172.84.187
→
03/23 19:48, , 1F
03/23 19:48, 1F
→
03/23 19:50, , 2F
03/23 19:50, 2F
→
03/23 19:56, , 3F
03/23 19:56, 3F
→
03/23 19:57, , 4F
03/23 19:57, 4F
→
03/23 19:57, , 5F
03/23 19:57, 5F
→
03/23 19:58, , 6F
03/23 19:58, 6F
→
03/23 19:59, , 7F
03/23 19:59, 7F
→
03/23 20:20, , 8F
03/23 20:20, 8F
→
03/23 20:22, , 9F
03/23 20:22, 9F
推
03/23 20:25, , 10F
03/23 20:25, 10F
→
03/23 20:33, , 11F
03/23 20:33, 11F
推
03/23 20:37, , 12F
03/23 20:37, 12F
→
03/23 21:02, , 13F
03/23 21:02, 13F
推
03/23 21:49, , 14F
03/23 21:49, 14F
→
03/23 21:50, , 15F
03/23 21:50, 15F
→
03/23 21:52, , 16F
03/23 21:52, 16F
→
03/23 21:52, , 17F
03/23 21:52, 17F
→
03/23 22:14, , 18F
03/23 22:14, 18F
推
03/23 23:42, , 19F
03/23 23:42, 19F
→
03/23 23:45, , 20F
03/23 23:45, 20F
→
03/23 23:45, , 21F
03/23 23:45, 21F
→
03/23 23:45, , 22F
03/23 23:45, 22F
→
03/23 23:47, , 23F
03/23 23:47, 23F
推
03/24 00:14, , 24F
03/24 00:14, 24F
→
03/24 00:18, , 25F
03/24 00:18, 25F
→
03/24 00:19, , 26F
03/24 00:19, 26F
推
03/24 07:36, , 27F
03/24 07:36, 27F
推
03/24 08:17, , 28F
03/24 08:17, 28F
→
08/13 15:31, , 29F
08/13 15:31, 29F
→
09/17 10:10, , 30F
09/17 10:10, 30F
→
09/17 13:25, , 31F
09/17 13:25, 31F
→
11/09 11:01, , 32F
11/09 11:01, 32F
→
01/02 14:21,
7年前
, 33F
01/02 14:21, 33F
→
07/06 21:51,
6年前
, 34F
07/06 21:51, 34F
討論串 (同標題文章)
以下文章回應了本文 (最舊先)：
完整討論串 (本文為第 1 之 12 篇)：