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Does Third Law of thermodynamics violates Quantum Mechanics, I mean Why third law of Thermodynamics holds if we think about it in terms of Quantum Mechanics ?

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  • $\begingroup$ Can you be more specific?why should 3rd law of thermodynamics violate quantum mechanics? $\endgroup$
    – Paul
    Mar 5, 2015 at 5:20
  • $\begingroup$ I am not saying that it violates quantum mechanics, but I am just wondering why third law of thermodynamics holds in terms of Quantum Mechanics like (degeneracy....) $\endgroup$ Mar 5, 2015 at 5:32
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    $\begingroup$ Note the caveat here, "and this statement of the third law holds true if the perfect crystal has only one minimum energy state." $\endgroup$
    – lemon
    Mar 5, 2015 at 8:17
  • $\begingroup$ Somebody told me, that for a system with a large number of degree of freedom, the third law of entropy should be $Lim_{T\rightarrow 0, N\rightarrow \infty} S/N=0$. I am not sure about the order of the limits though. $\endgroup$ Dec 29, 2017 at 15:49

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Even without quantum mechanics, the third law of thermodynamics only holds if there is a single lowest-energy state. For example, if there are two degenerate lowest-energy states, then the entropy is $k_B \log2$.

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