In the relativistic free electron gas, the classical kinetic energy E = p²/2m is replaced by E = Vp?c² + m2c4 – mc?. If the electrons are ultra-relativistic, the rest mass contribution is ignored and the energy is simply written as E = pc. Repeat the calculation derived in class for the fermy energy of an ideal gas of free electrons, assuming the electrons are massless (ultra-relativistic).

In the relativistic free electron gas, the classical kinetic energy E = p²/2m is replaced by E = Vp?c² + m2c4 – mc?. If the electrons are ultra-relativistic, the rest mass contribution is ignored and the energy is simply written as E = pc. Repeat the calculation derived in class for the fermy energy of an ideal gas of free electrons, assuming the electrons are massless (ultra-relativistic).

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