[問題] even ground state

看板Physics作者 (...)時間17年前 (2008/05/23 00:02), 編輯推噓9(907)
留言16則, 6人參與, 最新討論串1/1
when potential is even, the ground state wave function is also even. does anyone know why? -- ※ 發信站: 批踢踢實業坊(ptt.cc) ◆ From: 118.160.69.230 ※ 編輯: beatitude 來自: 118.160.69.230 (05/23 00:04)

05/23 00:20, , 1F
什麼叫做 potential is even?
05/23 00:20, 1F

05/23 00:31, , 2F
他是指偶對稱和奇對稱吧
05/23 00:31, 2F

05/23 00:31, , 3F
potential is even function
05/23 00:31, 3F

05/23 00:36, , 4F
奇偶定理知位為偶則波函數非偶即奇 振盪定理知基態領零節
05/23 00:36, 4F

05/23 00:38, , 5F
點故為偶
05/23 00:38, 5F

05/23 00:47, , 6F
what is 振盪定理?
05/23 00:47, 6F

05/23 00:53, , 7F
oscillating thm 第n激發態有n個節點
05/23 00:53, 7F

05/23 00:57, , 8F
第0激發態 即基態
05/23 00:57, 8F

05/23 00:59, , 9F
從對稱性來的...你把位能勢-x=>x ,看到的物理不變
05/23 00:59, 9F

05/23 01:05, , 10F
how can i know that 第n激發態有n個節點?
05/23 01:05, 10F

05/23 01:15, , 11F
無限深位井是最簡單的例子 一般證明可見Landau或孫超群筆
05/23 01:15, 11F

05/23 01:15, , 12F
05/23 01:15, 12F

05/23 01:22, , 13F
上例駐波條件是n+1個半波長 因而n個節點
05/23 01:22, 13F

05/23 01:29, , 14F
thank a lot
05/23 01:29, 14F

05/23 01:33, , 15F
不客氣
05/23 01:33, 15F

05/23 19:16, , 16F
p兄正解
05/23 19:16, 16F
文章代碼(AID): #18DPa8AY (Physics)