In the case of noninteracting, conserved, spin-zero, massless Bosons, the relationship between energy and momentum is \( \varepsilon (\mathbf{p}) = pc \), where \( c \) is the speed of light.a) Find the expression for the temperature at which Bose condensation takes place in two dimensions.b) Does a system of such particles undergo Bose condensation in one dimension? If so, what is the expression for the condensation temperature?

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In the case of noninteracting, conserved, spin-zero, massless Bosons, the relationship between energy and momentum is e(p) = pc, wherec is the speed of light. a) Find the expression for the temperature at which Bose condensation takes place in two dimensions