[題目] 一題熱力學

[groccy (溪哥)]

[領域] 熱力學

[來源] 鄭以禎的巨觀與統計熱力學

[題目]
the energy level of a localized oscillator is given by ε=(n +1/2)hυ,
with n= 0,1,2,3... Consider a system consisting of N such weakly interacting
oscillator which has the total energy U=1/2 Nhυ+1/2 Mhυ, where M is an
integer.
(a)Find the multiplicity Ω(M)
(b)Find the temperature T of the system as a function of N and M(or N and U),
under thee condition N>>1 and M >>1.
(c)Find U as a function of T, i.e.,U=U(T)

[瓶頸]

完全不知道要如何找Ω,M應該是N個不一定相同的n的和,但我不知道有幾種n啊
怎麼計算呢?

請高手相助
小弟一拜

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推 skyjade:看題意,N個n的總合會等於M
推 skyjade:接下來就是排列組合了,n不能是負的,所以n也不能大於M
推 groccy:感謝! 沒想到我已經把高中的排組忘個精光...