The dispersion relation of a gas of non-interacting bosons in two dimensions is E|k|=c\sqrt{|k|}, where c is a positive constant. At low temperatures, the leading dependence of the specific heat on temperature T, is

Quantum Statistical Mechanics — CSIR Net PYQ (Question 13)

A Quantum Statistical Mechanics previous-year question (PYQ) from Statistical Mechanics (CSIR Net). Read the question, check the correct answer, then practise the full topic.

Question 13 of 19 · 3.5 marks

The dispersion relation of a gas of non-interacting bosons in two dimensions is

E ∣ k ∣ = c ∣ k ∣

, where

c

is a positive constant. At low temperatures, the leading dependence of the specific heat on temperature

T

, is

1 $T^{4}$
2 $T^{3}$
3 $T^{2}$
4 $T^{3/2}$

Correct answer: Option 1

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