Consider an ideal gas of highly relativistic particles (such as photons or fast-moving electrons), whose energy-momentum relation is E = pc instead of E = p2/2m. Assume that these particles live in a one-dimensional universe. By following the same logic as above, derive a formula for the single-particle partition function, Z1, for one particle in this gas.

CS 064 Notes 02/09/16 Tauntology- something that’s always true Ex. x ∨¬ x, by theorem 7.2 (x ∨¬ x ) ∧(y y) =T ∧( y y) ; by Theorem 7.2 (x ∨¬ x) =T ∧(¬ y ∨ y) ; by proposition 7.3 (x y¬= x ∨ y) = T ∧( y ∨¬ y) ; by commutative property of ∨ =T∧T ; by Theorem 7.2 (x ∨ ¬ x) = T ; definition of ∧ Theorem 8.6: The number of lists of length k, where elements are chosen krom a pool of n possible elements: o n if repetitions are allowed o n (k)f repetitions are not allowed, where(k)=(n-1)*(n-2)*(n-3)*(n- 4)…*(n-(k-1)) ex. arranging tiles A, B, C, D, E, F, G 7*6*5*4*3*2*1 0 1 2 3 4