Consider a classical particle of mass m moving in one spatial dimension withposition x and momentum p. The Hamiltonian of the system isp² 1H(x,p)+= kx²,2m 2where k is a positive real parameter.(a) Find the expression of the canonical classical partition function z(B) for thissystem.(b) Show that for any natural integer ŉ the canonical expectation value (x²¹)satisfies [hint: you may use the formula sheet]r(n + 2 ) ( 2² ) ².n(x²n)B=√πwhere I'(x) is the Euler Gamma function.=

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Answered: Consider a classical particle of mass m…

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