作者groccy (溪哥)
看板Physics
标题[题目] 一题热力学
时间Tue Nov 6 07:23:47 2007
[领域] 热力学
[来源] 郑以祯的巨观与统计热力学
[题目]
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)
[瓶颈]
完全不知道要如何找Ω,M应该是N个不一定相同的n的和,但我不知道有几种n啊
怎麽计算呢?
请高手相助
小弟一拜
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1F:推 skyjade:看题意,N个n的总合会等於M 11/08 05:57
2F:推 skyjade:接下来就是排列组合了,n不能是负的,所以n也不能大於M 11/08 06:00
3F:推 groccy:感谢! 没想到我已经把高中的排组忘个精光... 11/08 19:58