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The excitations of a three-dimensional solid are bosonic in nature with their frequency and wave- number k are related by @ck. If the chemical

The excitations of a three-dimensional solid are bosonic in nature with their frequency and wave- number k are related by @ck. If the chemical potential is zero, the behavior of the specific heat of the solid at low temperature is proportional to 1/2 073/2 T OT

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