Consider a collection of N non-interacting one-dimensional harmonic oscillators, with total Hamiltonian H(p, q) = E"+mw²q}]: Li-1 [2m (a) Calculate the classical partition function, taking the phase-space element to be dpdq/t, where t is an arbitrary scale factor. (b) Obtain the entropy, internal energy, and heat capacity.
Consider a collection of N non-interacting one-dimensional harmonic oscillators, with total Hamiltonian H(p, q) = E"+mw²q}]: Li-1 [2m (a) Calculate the classical partition function, taking the phase-space element to be dpdq/t, where t is an arbitrary scale factor. (b) Obtain the entropy, internal energy, and heat capacity.
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![Consider a collection of N non-interacting one-dimensional harmonic oscillators, with total
Hamiltonian
H(p, q) = E"+mw²q}]:
Li-1
[2m
(a) Calculate the classical partition function, taking the phase-space element to be
dpdq/t, where t is an arbitrary scale factor.
(b) Obtain the entropy, internal energy, and heat capacity.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2208c30d-72e0-4849-90fb-ff6e7d9b7e96%2Ff26796d3-0b75-443f-9e2f-a79bb2f42180%2F8lemjd.jpeg&w=3840&q=75)
Transcribed Image Text:Consider a collection of N non-interacting one-dimensional harmonic oscillators, with total
Hamiltonian
H(p, q) = E"+mw²q}]:
Li-1
[2m
(a) Calculate the classical partition function, taking the phase-space element to be
dpdq/t, where t is an arbitrary scale factor.
(b) Obtain the entropy, internal energy, and heat capacity.
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