(Generalized equipartition theorem.) Consider a classical Hamiltonian of the form: 3N 3N H= 54;14:\"+ 341g:!"+ 2B.p? i=1
Posted: Thu Feb 17, 2022 11:06 am
solutions provided
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(Generalized equipartition theorem.) Consider a classical Hamiltonian of the form: 3N 3N H= 54;14:\"+ 341g:!"+ 2B.p? i=1 i=1 where n > 0 is an exponent that characterizes the potential energy and A; and B; are positive constants. Using the canonical ensemble, calculate the internal energy and the specific heat at constant volume as functions of temperature. (You can use So dxe-ar" - 21()a-7.)
P.S. I will upvote if the are complete and correct

(Generalized equipartition theorem.) Consider a classical Hamiltonian of the form: 3N 3N H= 54;14:\"+ 341g:!"+ 2B.p? i=1 i=1 where n > 0 is an exponent that characterizes the potential energy and A; and B; are positive constants. Using the canonical ensemble, calculate the internal energy and the specific heat at constant volume as functions of temperature. (You can use So dxe-ar" - 21()a-7.)