[題目] Gasiorowicz第一章十六題

[ReBegin (ReBegin)]

[領域] 量子物理

[來源] Stephen Gasiorowicz

[題目]The classical energy of a plane rotator is given by

                            E=L^2/2I
      where I is the angular momentum and I is the moment of inertia.

      Apply the Bohr quantization rules to obtain the energy levels of

      the rotator. If the Bohr frequency condition is assumed for the

      radiation in transitions from states labeled by n1 to states labeled

      by n2, show that (a) the correspondence principle holds, and (b)

      that it implies that only transitions (delta)n=+-1 should occur.

[瓶頸] (a)的話我是假設n1 n2很大,然後直接用兩個能量相減,

       and n2=n1+(delta)n  最後得到

       (delta)E=L1(delta)L/I   (delta)L=(delta)n hbar

       然後古典直接假設L1=L2+(delta)L

       然後把(delta)L^2消掉兩個會相等

       不知道這樣證明有沒有錯

       (b)的話不知如何下手 因為它應該是要利用(a)去推導 但看不出任何端提

       請高手教學一下


--
※ 發信站: 批踢踢實業坊(ptt.cc) 
◆ From: 140.113.253.151
→ wohtp:http://en.wikipedia.org/wiki/Correspondence_principle
→ wohtp:#Bohr_model  (請將兩行接在一起)
→ wohtp:我相信你該做的是這個。
→ ej001:this ID is so familiar...
→ hank780420:看來是修同一門課的....